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  • Nathan Paglinawan 1:56 pm on May 29, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry (Repost)

    Pwede siya sa earphones haha dapat symmetric yung earphones mo para pantay sila sa tenga mo. 🙂

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  • Daine Daling 6:30 pm on May 23, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Physics 

    Symmetry is quite beautiful in its applications. From photographs to paintings to music, a sense of symmetry gives a sense of balance and therefore is comfortable to look at. In the same way, symmetry in physics also yields beautiful results. According to Feynman, symmetry is when “if there is something we can do to it so that after we have done it, it looks the same as it did before”. Indeed, symmetry has multiple deep applications in theoretical physics. In Electrodynamics, for example, symmetry helps to make calculations easier, removing the need for complex integrals. In quantum mechanics, the applications of symmetry are massive.

    And of course, who could forget one of the more recent and memorable applications of symmetry:

     
  • Paul Sason 7:54 am on May 23, 2017 Permalink | Reply
    Tags: Symmetry   

    Body Buddy 

    Give a useful application of symmetry in real-life.

    • We’re all familiar on how our bodies are quite symmetrical if you When drawing the human body, it is usually recommended to use a basic anatomy framework as a starting point to learn how body proportions generally work, like this (check out dem circles). It helps in picking up proper habits if you know how it looks like in its simplest form. But the standard front-view pose like that is too static and doesn’t look natural at all, so you’d want to draw at an angle with varied poses for something that evokes more emotion. You’ll find that this stage is full of asymmetric parts and shapes, because perspective does a lot to its original form of the body. However, by remembering the basics from the symmetric front-view anatomy bare bones (and maybe with some help from reference images), visualizing how these body parts would look like at all sorts of angles would be easier.
     
  • Justo Balderas 5:45 pm on May 21, 2017 Permalink | Reply
    Tags: Symmetry   

    Ball Is Life 

    Week 3: Symmetric Matrices


    DIBS: Symmetry in basketball (equipment/ball)

    “I will never look at a (traditional) NBA basketball the same again” – This is just right after researching for this post. *amazed meme* *my whole life has been a lie meme*

    Ever since 7 years old, I thought basketball looks like this.

    3 plane

    expectation

    Little did I know, it is just like a tennis ball or baseball traditionally made by joining two complementary (symmetric) pieces.

    baseball

    deconstructed baseball

    In basketball, what you should see from one side is different from what you have on the other. Below’s a photo of the different flows of the leather patches in the front and rear view.

    2 different plane

    leather patches

    So the first animation (gif) should be…

    2 plane reflective symmetry

    reality (on most, if not all traditional basketball)

    Each leather patch embraces the other. Here’s an animation.

    2 plane of symmetry

    animation

     

    Here’s a real life example. Observe the 2 leather patches carefully. (sorry for the low resolution ‘.gif’, here’s the link for the video source: youtu.be/DQc8miHqdqQ?t=2m20s )

    real basketball

    NBA basketball (Spalding brand)

    Basketballs have two planes of reflective symmetry, as do tennis balls. But these balls also have a 2-fold rotational symmetry. A cube has nine planes of mirror symmetry, while some soccer balls have fifteen![2]

    sources:
    [1] https://blender.stackexchange.com/questions/41298/asymmetrical-basketball  (visited on May 21, 2017).
    [2] John Horton Conway. The Symmetries of Things, p. 12
    [3] https://math.stackexchange.com/questions/688749/number-of-reflection-symmetries-of-a-basketball (visited on May 21, 2017).

     
  • Arlan Uy 3:48 pm on May 20, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Fractals 

    Fractals lead to a new notion of symmetry. Fractal is a mathematical name used to describe the patterns of scale-self similarity which occur nearly the same at different levels. To elaborate, it is used when a specific and detailed pattern is seen to repeat itself.

    Fractals are different from other geometric figures for in fractals, even though one sees one-dimensional lengths doubled, the corresponding spatial content of the fractal scales by a power that is not necessarily double also or even an integer (this spatial content of the fractal scale is referred to in the video as mass, example given is the Sierpinski triangle). This power-exponents are called fractal dimensions or scale dimensions.

    The general consensus is that theoretical fractals are infinitely self-similar, iterative and detailed mathematical constructs having fractal dimensions. There may not be an agreed upon definition, different kinds of examples and applications about this have been formulated and studied in great depth.

    Reference: http://www.mdpi.com/journal/symmetry/special_issues/symmetry_fractals

     
  • eugenekasilag 7:04 pm on May 18, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry 

    Naapply yung symmetry sa physics, specifically sa reflection sa mirrors. Kung alam mo yung distance mo sa mirror at tumingin ka sa reflection ng isang bahay sa salamin (at alam mo yung angle), malalaman mo kung gaano kalayo yung bagay na yun mula sayo.sym

     
  • Theo Yap 12:40 pm on May 15, 2017 Permalink | Reply
    Tags: Symmetry   

    “Two Halves of a Whole” – Bruce Lee 

    Chinese martial arts are famous/infamous since more than fighting, it presents itself as an art form and even a way of life.

    One of the key aspects of Chinese martial art is finding the balance within oneself. This balance may be physical, which can be training to the point that you have found your body’s rhythm and becoming one with your movements being almost untouchable or mental and emotional, finding the patience to greet life’s challenges with hope and dignity. Of course, the goal is to achieve both.

    On a more shallow note, the movements in one of my preferred fighting styles (Wing Chun) are symmetric; meaning the moveset for one side of your body is the same and can be applied to the other side. The training method the art is known for is the “Wooden Dummy Form” consisiting of 108 strikes. That is 54 strikes to the left side of the dummy and 54 mirrored strikes to the right. Likewise, single-performed forms also feature the “left-right, left-right” scheme of movement. Even sparring seems to mirror the “balance” that symmetry brings, having two participants mirror each other’s hand movements before they begin freestyle fighting, often which, moves that counter each other can also be treated as symmetric.

    Training both sides of the body makes for a more harmonized and stable fighting style; making stance and combat “natural” should you need to switch stance. I’ve noticed the same pattern in my “Level 1” form for Shaolin Kung Fu and other styles as well.

    In general, the symmetry of the physical aspect ultimately seeks the spiritual balance within oneself to prepare for both physical and emotional challenges.

    disclaimer: Kung Fu way of life, however helpful it may be, is still not to be treated as a substitute for real medical help. If you feel you are suffering something emotional or internal, please consult your doctor.

     

    Sources:

    • years of obsessing over martial arts
    • Ip Man rare footage (all 3 forms + Wooden Dummy Form): https://www.youtube.com/watch?v=0YnEm1zaUyE
    • Wong Shun Leung – Si Lum Tao (Wing Chun Form 1): https://www.youtube.com/watch?v=crmGYEvLVcw
    • Chi Sao (“Sticking Hands”) sparring: https://www.youtube.com/watch?v=GQEiwQG7Wfc
    • Lee, B. (1997, November 15). Bruce Lee Jeet Kune Do: Bruce Lee’s Commentary on the Martial Way. Clarendon, Vermont: Tuttle
     
  • karen alarcon 7:05 am on May 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Complex Networks 

    Many real world networks are symmetric. In the research conducted by Ben McArthur, Sanchez-Garcia and Anderson, they’ve found out that a certain degree of symmetry is also ubiquitous in complex systems. They investigated the origin and form of real-world network symmetry and its effect on network function.

    Many networks – for example the internet and the world-wide web are “growing” (that is new vertices are added to the network over time). Generally any growth process which allows for new vertices to the network one at a time generally leads to a network with locally-tree-like regions. Such locally tree-like areas are common in real-world networks and their presence is important because while majority of large graphs are assymetric, it is common for large random trees to exhibit a high degree of symmetry, deriving from presence of identical branches about the same fork. Thus, we can expect that certain degree of tree-like symmetry to be present in many real-world networks. [1]

    Reference:
    [1] http://www.sciencedirect.com/science/article/pii/S0166218X08001881

     
  • Mikayla Lopez 1:36 pm on March 5, 2017 Permalink | Reply
    Tags: Symmetry   

    Music’s effect in the symmetry of the brain 

    “Music can be a transformative experience, especially for your brain. Musicians’ brains respond more symmetrically to the music they listen to. And the size of the effect depends on which instrument they play.”

    Musicians undoubtedly have a keen sense of hearing, given their certain skills such as identifying pitch and mimicking tones by ear. Recent studies show that musicians possibly have larger, sharper, and more symmetrical brains than non-musicians.

    “People who learn to play musical instruments can expect their brains to change in structure and function. When people are taught to play a piece of piano music, for example, the part of their brains that represents their finger movements gets bigger. Musicians are also better at identifying pitch and speech sounds – brain imaging studies suggest that this is because their brains respond more quickly and strongly to sound.

    Other research has found that the corpus callosum – the strip of tissue that connects the left and right hemisphere of the brain – is also larger in musicians.”

    Researchers from the University of Jyväskylä in Finland conducted a study between a group of professional musicians and a group of people who have never professionally played any musical instrument before. They used fMRI scanners to take a look at the participants’ brains.

    “Once inside in the fMRI scanners, the subjects were subjected to three very different pieces of music: classical Stravinsky, Argentinian tango and progressive rock. The researchers were looking for flares in neurological activity in both hemispheres of the brain; as suspected, the patterns of activity in the musicians’ left and right hemispheres was far more symmetrical than that of non-musicians.

    Intriguingly, the most symmetrical neurological display of the study was observed in the brains of the keyboard players. The researchers suggest that the kinematic symmetry – the symmetry of a musician’s physical movements as they play their instrument of choice – is directly linked to the level of neurological symmetry they have. “Keyboard players have a more mirrored use of both hands and fingers when playing,” Iballa Burunat, the lead author of the study; therefore, they are more likely to have synaptic symmetry than those playing stringed instruments.

    As this study only tested the effect that listening to music, not actually playing it, had on the brain, these results suggest that practising musicians genuinely have a rewired brain, one that communicates more effectively than most even after they’ve put down their instruments.”

     

    Sources:

    http://www.iflscience.com/brain/practising-music-improves-symmetry-your-brain/

    https://www.newscientist.com/article/dn28266-musicians-brains-fire-symmetrically-when-they-listen-to-music/

    (Long overdue. 😦 )

     
  • Jennie Ablog 1:05 pm on February 25, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Arabic Calligraphy 

    “Arabic calligraphy integrates a cultural language with the language of geometry. The fluidity of Arabic script offer indefinite possibilities for designing calligraphic expressions, even within a single word, since letters can be stretched and transformed in numerous ways to create different motifs.
    screenshot-at-2017-02-25-205855
    Calligraphic compositions have either true symmetry as a result of applying isometric transformations to a motif, or an implied symmetry resulting from fitting an expression within a symmetrical organisation. Symmetric calligraphic expressions possess either rotational symmetry with 3, 4, 5, 6 and 8-centers of rotation, or bilateral symmetry about a vertical reflection axis.”
     
  • AF Formaran 6:24 am on February 24, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in OCD 

    “Some people with OCD have obsessions surrounding the way objects are arranged. These people may feel very uncomfortable when confronted with situations where objects are misaligned or in disarray. People with symmetry concerns may be more likely to have other anxiety disorders or obsessive compulsive personality disorder. In other cases, the need for symmetry may just “feel right.”

     

    Reference: http://www.ocdtypes.com/symmetry-ocd.php

     
  • Lea Cornelio 3:10 pm on February 18, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetries of Spacetime 

    The symmetries of spacetime are collectively called the Poincare symmetry. Particles are irreducible representations of the Poincare group which means that they change in ways governed by Poincare symmetry. The subset of Poincare symmetry that is formulated to automatically obey the symmetries of Einstein’s special relativity is called the Lorentz symmetry. It deals only with rotations and change of inertial frames. Quantum fields, which “give rise” to particles, are irreducible representations of the Lorentz group.

    Reference:
    http://www.quantumdiaries.org/2009/09/20/symmetry-in-physics-part-1-spacetime-symmetry/

     
  • Roben Delos Reyes 10:22 pm on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    R3 Symmetric Matrices 

    Week 3: Symmetric Matrices

    Give a useful application of symmetry in real-life.
    One useful application of symmetry in real-life is on how living things use the symmetry of shapes. An example would be on how bees’ use symmetry to make their honeycomb. By using hexagons, a symmetric shape, mathematicians believe that they maximize the amount of honey that they produce using the least amount of wax.

    Source: http://listverse.com/2013/04/21/10-beautiful-examples-of-symmetry-in-nature/

     
  • Michelle Dela Rosa 3:59 pm on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Left-Right Asymmetry 

    In my search for a possibly interesting application of symmetry in real-life, I came across a study on the symmetry of cells to help prevent birth defects [1]. What particularly caught my attention was the term “left-right asymmetry”. Basically, it is involved with the question of how our internal organs are positioned during embryonic development–how does the bilaterally symmetric embryo decide which is left/right and which is the correct side for an organ? [2]

    This is how I learned that 0.01% of our population has the condition called situs inversus totalis, where there is a mirror-image reversal in the positioning of the heart and other internal organs. [3] People with this condition don’t usually realize their unusual anatomy until they seek medical attention for other health problems not related to it. This usually causes confusion because many signs and symptoms appear on the reverse side. [4]

    This condition also happens to “mirror twins”–twins who have the same physical features but opposite, or “mirrored”. [5]

    It is usually complicated for people with situs inversus totalis to undergo heart transplants because the orientation of the heart is reversed and it is necessary to connect the blood vessels properly.

    Sources:
    [1] https://www.sciencedaily.com/releases/2014/03/140320173204.htm
    [2] http://rsob.royalsocietypublishing.org/content/3/5/130052
    [3] https://en.wikipedia.org/wiki/Situs_inversus
    [4] https://pdfs.semanticscholar.org/1585/aa045be15764f8a863cc94a42970139dfc33.pdf
    [5] http://www.twin-pregnancy-and-beyond.com/mirror-twins.html

    Images from:
    http://www.ohmyindia.com/ (situs inversus totalis)
    http://marlafoundation.org/ (twins)

     
  • Arvin Bandong 3:43 pm on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry In Dancing 

    Shape is one of the elements of dancing. It refers to the movements that a dancer makes. It has 3 concepts which are: Levels, Symmetry and Assymetry, and Scale. Since we are just concerned about symmetry, I won’t discuss the other two concepts.

    These are the two types of symmetry in dancing:
    1) Symmetric position – the position of the right side of the body is the same with the left side
    2) Symmetric sequence – the movement made by the right side of the body is mirrored by the left side (e.g. arm wave)

    sources:
    http://www.artsalive.ca/en/dan/make/toolbox/elements.asp

     
  • JD Laborada 3:15 pm on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry : Heat Transfer / Dissipation 

    Symmetry boundary conditions are used when the physical geometry of interest, and the expected pattern of the flow/thermal solution, have mirror symmetry.

    Link: http://jullio.pe.kr/fluent6.1/help/html/ug/node217.htm

     
  • Haifa Gaza 2:12 pm on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Cancer Factor: Symmetry 

    “Symmetry has always been an important part of our biological make up… It is an indicator of health, fitness and performance”(Scutt).

    Symmetry is a good measurement for body development since it provides a comparison on how a body part grows. There are many factors like hormone secretion that disturb symmetrical body development. For example, the rapid growth rate of breasts make them more susceptible to mutation. The researchers at the University of Liverpool found that symmetry can be a factor to indicate breast cancer since it can show “an individual’s ability to tolerate ‘disruptive’ hormonal variation” . Women who have less symmetrical breasts had a higher probability of developing the disease.

    Source:
    http://www.news-medical.net/news/2006/03/21/16809.aspx

     
  • Joshua Buslig 1:20 pm on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry 

    Symmetry in Cheerleading

    A part of a cheerleading routine is the pyramid. A pyramid is almost always symmetrical maybe because it creates a sense of balance, thus the pyramid will look stable.

     

     
  • Gerald Roy Campanano 1:06 pm on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Comment a selfie 

    Facial symmetry is one specific measure of bodily asymmetry. Along with traits such as averageness and youthfulness it influences judgments of aesthetic traits of physical attractiveness and beauty. For instance, in mate selection, people have been shown to have a preference of symmetry. This is due to the fact that it is seen an indicator of health and genetic fitness, but also as holding adaptation qualities; reflecting the ability to withstand the changes in their environments.

    Facial symmetry has been suggested as a possible physical manifestation of the ‘big-five’ personality traits. The most consistent finding is that facial symmetry is positively correlated with extraversion, indicating that individuals with more symmetric faces are also more extroverted. More symmetrical faces are also judged to be lower on neuroticism but higher on conscientiousness and agreeableness. More symmetrical faces are also more likely to have more desirable social attributes assigned to them, such as sociable, intelligent or lively.

    Recent study shows the association of trustworthiness and with symmetry on the face. People are biologically evolved to detect the deceptive intention of other people by observing the asymmetry in the face. When people are lying, their facial muscles become imbalanced.

    An external file that holds a picture, illustration, etc.Object name is nihms5739f1.jpg

    Example of trustworthy (on the left) and untrustworthy (on the right) looking male faces. These faces were created by morphing two of the most trustworthy and untrustworthy, respectively, looking male faces in our sample.

    I wish I could morph faces of trustworthy and untrustworthy Philippine politicians and check the results.

    References:

    https://www.researchgate.net/publication/236002769_Facial_symmetry_and_the_’big-five’personality_factors

    https://en.wikipedia.org/wiki/Facial_symmetry

    https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4909468/

     
  • Alezon Valerio 8:22 am on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Tattoos 

    “Many cultures decorate their bodies with tattoos and many of the designs they use are symmetrical. [1]”

    Symmetry ensures balance and balance in art ensures beauty. This symmetric beauty is useful to ensure an aesthetically pleasing tattoo. Many tattoo artists use symmetry in their designs.

    [1] http://www.myeducationstuff.com/Symmetry/tattoo/tattoo.html



     
  • Jairus Garcia 8:03 am on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Fukinsei 

    “Fukinsei” is a Japanese aesthetic that deals with avoiding symmetry.

    It is a Zen practice taking inspiration in the idea that there is no perfect symmetry in nature.

    The “enzo” or Zen circle is a brush painting often drawn as an incomplete circle, symbolizing the imperfection that is part of existence.

    fukinsei

    Reference: http://www.designprinciplesftw.com/collections/7-japanese-aesthetic-principles-to-change-your-thinking

     
  • Ethan Tan 7:38 am on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry of Forces 

    466px-yin_yang-svg

    Balances and symmetry can be found everywhere in the universe. Hot and cold, light and dark, day and night. For every action, there is an equal and opposite reaction.

     
  • Rafa Cantero 7:16 am on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in our Alphabet! 

    Not the most breakthrough of ideas but a very interesting one that most of us probably haven’t noticed.

    When looking at the uppercase alphabet how many letters do you think are symmetrical? 16 out of 26 letters can be symmetrical when halved either horizontally or vertically!

    A, M, T, U, V, W and Y are vertically symmetrical.
    B, C ,D, E and K are horizontally symmetrical.
    H, I and X are symmetrical both ways.
    O is infinitely symmetrical.

    When split horizontally the words CHECKBOOK and DECIDED are symmetrical.

    When split vertically the words
    M                                T
    A                                 O
    A             and             O
    M                                 T

    And the word SWIMS is rotationally symmetrical which means that you can rotate it by any number of degrees and it would still spell SWIMS.

     
  • Reyster Fresco 5:17 am on February 17, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Game Design 

    Symmetry in Game Design greatly affects the balance of the game. This is especially true of games with two sides fighting each other like DOTA and Chess. The more symmetric the game the easier it is to maintain the balance of the game. In fact chess is so symmetric it’s considered the most balanced game in the world that there will come a point where all strategies would be figured out.

    dota

    chess

    In contrast an example of an asymmetric game would be Overwatch

    hanamura

    Not only are the maps asymmetric, the powers of the characters are asymmetric too so maintaining the balance of the game is a big challenge.

     
    • Gabe Tamayo 11:49 am on February 17, 2017 Permalink | Reply

      Aha, but not all maps in Overwatch are asymmetric in design. KoTH maps like Lijiang Tower and Oasis are intentionally created symmetrically in order to direct the center of conflict (read: shooting and stuff) towards the main objective of the map, which is the capture point. Not many alternate routes are present in these maps because Blizzard wanted to emphasize the importance of the map objective compared to small skirmishes that may happen between players outside the capture point. However, Assault/Payload maps tend to be more asymmetrical for the balance of gameplay (Defenders get an advantage over a capture point by claiming the high ground or locking down the choke points, but in exchange, their re-spawn areas tend to be far from the objective to reward successful pushes from the attacking team/punish poor defense of the defending team).

      Overall, this design concept is asymmetrical in aesthetics to make attacking and defending feel very different from each other. However, the gameplay experience created by the maps are symmetrical in terms of player advantages, which is very important in competitive games (one side cannot feel weaker than the other, otherwise it will feel disappointing for the player if they get placed in the disadvantageous team).

      You can learn more about this from Extra Credits’ excellent video on the asymmetry of level design here: https://www.youtube.com/watch?v=4DynhzEQtog

      Cheers!

      Liked by 1 person

    • Reyster Fresco 1:55 pm on February 18, 2017 Permalink | Reply

      Yeah i saw that video as well. Haha sorry i wasn’t able to do the topic much justice and thanks for the input.

      Liked by 1 person

    • Gabe Tamayo 3:15 pm on February 18, 2017 Permalink | Reply

      Lol don’t sweat it. Academic discourse is the goal of this blog anyway 🙂 The important thing is that we talk about interesting stuff, and you succeeded in doing so 🙂

      Liked by 1 person

  • John Ramonel Roque 11:33 am on February 16, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Rock Formation 

    The symmetry in rock formation helps geologists to determine the state where a certain land lives. Through this they can know if a certain rock formation is a part of a big island and also check the cause of its breakdown. Its symmetry can also tell us how a certain rock was created at the first place, if its formed through under varied conditions of stress, hydrostatic pressure, and others.

    800px-agiospavlos_dm_2004_img002_felsenformation

     
  • robbasilona 9:03 am on February 16, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry 

    • Give a useful application of symmetry in real-life. Symmetry is present everywhere. Imagine looking at the mirror. If we were to define the mirror as an axis of symmetry, you are symmetric with respect to your reflection. The same way works with anything that reflects. 😉 sana yung love ko mareflect din
     
  • Paulo Santiago 4:53 pm on February 15, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in solving Rubik’s Cube 

    Solving Rubik’s cube often involves symmetry. When solving for a colored pair, there are same symmetrical moves that can solve the pairs that are in different phases.


    The example cases above can be solved in the same pattern in different axis that is actually a rotation or reflection of the other pattern.

     
  • Eunice Angel Cruz 2:37 pm on February 15, 2017 Permalink | Reply
    Tags: Symmetry   

    No Mathe-mat-ics Required 

    What’s amazing is that even without advanced knowledge with mathematics, and without drawing plans on paper, weavers are able to create complex geometric designs by hand. These complex geometric designs depicts advanced levels of geometry and algebra using a combination of a weaving and counting technique.

    Different finite designs and repeating patterns occurring in different Philippine ethnic communities are being studied today through the analysis of their symmetry groups and colored symmetrical structures.

    Repeated patterns are basic discrete design elements and these symmetrical patterns (called a motif) are not only seen in mats, blankets, etc., it can be seen in our very own sablay!

    A simple example of some of the symmetries in sablay: see those blue diamonds?  They are moving along a line. This kind of symmetry is called “translation” – a shift of the motif by a given distance in a line.

     

    References:

    ~http://static.rappler.com/images/sablay-mark-sherwin-bayanito.jpg

    ~youtube channel: yuchengcomuseum (video name: Mathematical Symmetries of Selected Philippine Indigenous Textile)

    ~http://www.ateneo.edu/sose/news/ls-research-updates/ateneo-profs-discuss-interplay-math-culture

     

     

    a/n: ang sayaaaa kaso di ko na kaya i-name yung ibang weave patterns/ symmetries sa sablay :(((

     

     
  • Dana Redeña 12:56 pm on February 15, 2017 Permalink | Reply
    Tags: Symmetry   

    Palindromes in Baybáyin 

    It doesn’t come as a surprise that humans have a fascination on symmetry. A palindrome is a manifestation of this fascination of symmetry in language. Palindromes are a sequence of letters (even in word-level or sentence-level) that read the same backward and forward. Some of the more famous ones in the english language are civic, racecar, madam, and noon.

    Our earliest record a palindrome is with a sentence written in Latin: “Sator Arepo Tenet Opera Rotas” (“The sower Arepo holds with effort the wheels”). It dates back as 79 AD, found in the ruins of Pompeii, at Herculaneum (in modern day Italy).

    Sator_Square_at_Oppède.jpg

    In Filipino (or  Tagalog), we commonly know palindromes as ‘palindromya’ and they are more common in our language than you might think. Examples are torotot, opo, asa, ihi, naupuan, naihian. Well we have the advantage or pairing the unlapi “na” with the hulapi “an” in an existing palindrome to create longer palindromes.

    What’s more fascinating is the palindromes we can form from BaybáyinBaliktárin is a Baybáyin equivalent of a palindrome. Some examples are below (from nordenx.blogspot.com):

    ᜃᜒ ᜎ ᜎ ᜃᜓ ᜎ ᜎ ᜃᜒ
    | ki-la-la-ko(ng)-la-la-ki |
    Kilala kong lalaki.

    ᜁ ᜊ ᜊ ᜋᜓ ᜊ ᜊ ᜁ
    | i-ba-ba-mo-ba-ba-i |
    Ibaba mo, babae.

    ᜊ ᜅ ᜃᜓ ᜅ ᜊ 
    | ba-nga-ko-nga-ba |
    Banga ko nga ba?

    ᜆ ᜋ ᜐ ᜋ ᜆ 
    | ta-ma-sa-ma-ta |
    Tama sa mata.

    ᜁ ᜃᜓ ᜎᜓ ᜋᜓ ᜎᜓ ᜃᜓ ᜁ 
    | i-ku-lo(ng)-mo-lo-ko-i |
    Ikulong mo. Loko e!

    ᜁ ᜎ ᜋ ᜎᜒ ᜊᜒ ᜎ ᜎ ᜊᜒ ᜎᜒ ᜋ ᜎ ᜁ 
    | i-la(ng)-ma-li(ng)-bi-la(ng)-la-bi(ng)-li-ma-la(ng)-i |
    Ilang maling bilang? Labinglima lang e!

    Since Baybáyin (and most Filipino words) has the syllables as the smallest unit, Baybáyin palindromes can be made by making symmetrical series of Babayin (characters) and see if what you form makes sense 🙂

    Source:

    https://en.wikipedia.org/wiki/Palindrome

    http://nordenx.blogspot.com/2014/11/baliktarin-and-baligtadin.html

     
  • Camille Razal 7:41 pm on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    R E B I R T H 

    Art is a medium where people can express their creativity and skills. There are many important concepts and techniques that you need to consider when creating AND observing art. One of those techniques is SYMMETRY.

    I picked several Early Renaissance paintings by Pietro Perugino as examples. As you can see in the painting examples below. Perugino loves using techniques to give depth, balance, harmony, and symmetry in his works. In the images below, the managed to emphasize the middle focal point in his paintings by making objects symmetrical like the buildings in Christ Handing the Keys to Saint Peter (1482) and Marriage of the Virgin (1500). Meanwhile in almost all of the examples below, you can see the number of people and their distribution are symmetrical. Even the way they are placed and the orientation of their body are also  balanced.

    These are only a few examples on how art can be symmetrical and balanced even in subtle ways. :>

    This slideshow requires JavaScript.

    P.S. credits to my FA 30 prof for introducing to Renaissance Art, super worth it ing AH GE class na ito ❤

     
  • Gabe Tamayo 7:09 pm on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Jazz and Musical Symmetry 

    It’s probably not a surprise that music has a lot to do with patterns (the scale, the note progression, the time signature used). However, these alone aren’t enough to make beautiful and interesting sounding cadences, as too much repetition can make a piece boring to listen to. Enter jazz theory, and music suddenly becomes more colorful (and more complicated lol). It would probably take me forever to talk about all the different harmonization techniques available (and most of you probably won’t get it anyway), so for this post, I will just focus on the tritone substitution method often used in improv jazz.

    (this is also just an excuse for me to geek out about music theory hue)

    pianimation

    wheeeeee

    Music is in essence, the art of placing notes or tones together and making them sound good. Not all note combinations sound nice (to some extent), so it is important for an instrumentalist to know which notes go well with each other.

    Some of you may be familiar with the octave sequence (DoDo, if that makes any sense), the triad (Do-Mi-So), and the complete major chord (Do-Mi-So-Do). You can already go a long way just by using these, but to generate more interest in repeated sections of a song, variations may be done. Sometimes, removing some notes to create a cleaner sound (e.g. only using the fifths instead of the full triad, like Do-So), or you can replace some notes with relative notes. For example, you may opt to play a G octave when playing a C major chord (as G is the relative fifth of C). Tritone substitution takes this a step further by using a symmetric substitution instead of its fifth.

    Most of you are probably confused at this point, so I’ll try to explain this as simply as possible, using the Circle of Fifths. Below is a graphical representation of the Circle of Fifths (or Circle of Fourths, but to avoid confusion, lets stick with Circle of Fifths).

    400px-circle_of_fifths_deluxe_4-svg

    Image from Wikimedia Commons

    To put it simply, the clockwise neighbor of any note is considered the fifth of the note. From the circle, you can see that G is the clockwise neighbor of C, meaning that G is the fifth of C. The reason this works is because the key of C and the key of G are so close together in terms of notes (C has C-D-E-F-G-A-B, G has G-A-B-C-D-E-F#, a one note difference). The same is true for C and F, but their relationship is called a fourth (hence the alternate name of the circle). F however, is usually not substituted for C, but rather the other way around (because F does not want to “resolve” to C, but C wants to “resolve” to F.)

    Tritone substitution works by taking the direct opposite of the note you are using (C’s tritone, for example, is F#). You may have already noticed similarities with another circular chart (one that has more color than this one, wink wink), and that’s because that’s the concept behind it: complements. C and F# are so far away from one another note-wise that because of this, substituting one of them for the other will make the melody stand out (the same way that complementary colors make both colors pop).

    And that’s one way symmetry is used in jazz music. If you want to learn more about this topic, I suggest starting from the basics of music theory, as some of the concepts discussed in Jazz are very advanced, and would probably confuse you a lot (much like how I confused you guys lol)

    (I’ll probably add some music snippets later so you guys can better appreciate this concept :D)

     
  • Berna Misa 6:08 pm on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    J3: Cognitive Symmetry 

    A useful application of symmetry can also be found in a lot of things relating to group theory.

    One of these things is the status quo bias. It is the tendency of an individual especially when in a group, to like things to stay relatively the same so as to avoid conflict to arise. [1]

    In this certain case, symmetry can be a good or a bad thing. The status quo bias is good to the extent that it helps avoid conflicts to arise, but at the same time, it may hinder innovation.

    References:
    Kahneman, D.; Knetsch, J. L.; Thaler, R. H. (1991). “Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias”. Journal of Economic Perspectives. 5 (1): 193–206. doi:10.1257/jep.5.1.193.

     
  • Aira Pega 5:17 pm on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    (3) Symmetry 

    Symmetry in Religious Symbols

    “Symmetry symbols pervade ancient cosmologies. Thus the concept of axis mundi (the world axis) is a famous mytho-poetic archetype expressing the idea of centrality in the arrangement of the Cosmos.” The central image of Christianity, the cross, belongs in the same category, it signifies a possibility for humans to connect with heaven.

    The appeal of symmetry can also be found on a person’s reaction when highly symmetrical natural objects (seashells etc.) are found. The idea that these objects came from nature itself makes us view symmetry as something that is informative of the world around us. It’s because of this tendency to see purpose and beauty in symmetry that makes it an integral part of religious symbols.

    Some people argue that with symmetry comes perfection and perfection will bring you closer to God. But what is the real meaning of perfection? Is it all about symmetry? Maybe it’s because we can find symmetry everywhere: from living things (human body, plants) to nonliving (crystals, heavenly bodies). We can’t help but wonder if there is a deep, spiritual meaning in all this symmetry. And if it connects us to God in some way.

    References:
    http://www.encyclopedia.com/science-and-technology/physics/physics/symmetry
    https://www.kvmb.net/uploads/ppt/symmetry.ppt
    https://prezi.com/m/b_x8ie0lmuvw/symmetry-in-religion-and-superstition/

     
  • abcorwynd 4:18 pm on February 14, 2017 Permalink | Reply
    Tags: Leonardo Da Vinci, Symmetry, Vitruvian Man   

    Symmetry in your Face 

    Ancient Greeks have been known to create art that is beautiful due to symmetry. They made columns that were symmetrical, buildings that were symmetrical, associated faces to beauty depending on the left part’s symmetry with the right.

    Moving on a little forward in time, we meet Leonarda da Vinci, a brilliant mind able to create the most complex things. One such thing is the Vitruvian Man, which shows us a man with ideal body proportions based on symmetry. Da Vinci stated:

    “there ought to be the greatest harmony in the symmetrical relations of the different parts to the general magnitude of the whole. ”

    source: https://en.wikipedia.org/wiki/Vitruvian_Man#/

     
  • Bill Juntado 2:45 pm on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Biradial Assymetry 

    Biradial symmetry is a combination of radial and bilateral symmetry, as in the Ctenophores. Here, the body components are arranged with similar parts on either side of a central axis, and each of the four sides of the body is identical to the opposite side but different from the adjacent side. This may represent a stage in the evolution of bilateral symmetry “from a presumably radially symmetrical ancestor.”

    Source: [a]http://tinyurl.com/j7y9h2x[/a]

     
  • Reyster Fresco 2:03 pm on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Game Design 

    Dibs

     
  • Eliza Tan 1:50 pm on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Sun-Moon Symmetry 

    “With the sun having a diameter of 1.4 million kilometers and the Moon having a diameter of a mere 3,474 kilometers, it seems almost impossible that the moon is able to block the sun’s light and give us around five solar eclipses every two years.How does it happen? Coincidentally, while the sun’s width is about four hundred times larger than that of the moon, the sun is also about four hundred times further away. The symmetry in this ratio makes the sun and the moon appear almost the same size when seen from Earth, and therefore makes it possible for the moon to block the sun when the two are aligned.”

    http://listverse.com/2013/04/21/10-beautiful-examples-of-symmetry-in-nature/
    http://earthsky.org/space/coincidence-that-sun-and-moon-seem-same-size

     
  • Mark Asiddao 11:14 am on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Tesselation 

    Tesselationnnnn~

    “A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.” – Wiki definition

    Marian Mendez' Tessellating puppies

    Marian Mendez’ Tessellating puppies

    To view more of these, you may visit http://www.deviantart.com/tag/tessellation 🙂

     
  • Kyle Rosales 8:28 am on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Using symmetry in optimizing algorithms 

    In some problems, symmetry can be used to optimize algorithms that solve it. Symmetry implies that there is a similarity to make our solutions more efficient. 

    To make things more clear,  let’s use a simple game as an example, tic-tac-toe. In this game there are 9 squares and two players take turns picking a square  and making it. If we ignore the winning condition, there are 9! =362,880 configurations. 

    If we want to make a program that plays tic-tac-toe against a human that never loses, we can do this by searching the whole 9! search space for a non-losing end state (either win or draw) 
    However, we can optimize the 9! search space  by utilizing symmetry. Consider the two possible first moves.


    Even though they are different positions, they are functionally the same because they are symmetric. The first option is neither better nor worse than the second option. 

    Initially there are 9 possible moves the first player can do, but if we apply properties of symmetry (rotations and reflection) we can reduce the first move to just 3 distinct options (edge, corner, center). 

    If we apply properties of symmetries to every move and factor in the winning condition, we can reduce the state space from 9! to just 138 (according to Wikipedia). 

    As we can see, by taking advantage of symmetric properties we can make our algorithms more efficient, and sometimes it makes a lot of difference. 

     
  • Patriz Cajaljal 2:32 am on February 14, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Food 

    Examples:. frying a burger patty (you cook both sides), sandwiches(bread-stuff-bread), latte art

    Latte art

    Latte art

    Source: http://365days2play.com/2014/04/24/symmetry-cafe-at-jalan-kubor/

     
  • Levi De Guia 10:44 pm on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Web Design|nǫiƨɘᗡ dɘW 

    When we talk about symmetry, another word that comes to mind is balance. And when we talk about balance, it is about various elements properly arranged together and contribute to a bigger,harmonious picture wherein no individual element is dominant over the others.

    Design, when it comes to art, is a very broad area. And we cannot really say that when a form of art appeals to an individual, everyone will also like it. “Beauty is in the eye of the beholder” is what they usually say. Still, symmetry is widely regarded as something beautiful because maybe it appeals to our instincts that everything should be in the right order and it annoys most of us when something is off, out of place or simply just asymmetric.

    One useful application of symmetry that I could think of and is also at least related to a career path is web development which also involves web design. Using symmetry for user interface provides stability between the elements and components of design. Overall, it enhances the user experience as it makes it easy for the viewers to understand what’s going on and to follow along. The visitors will be able to focus more on what your website brings with added comfort. There should at least be one instance where we visited a website and closed it immediately because of how non uniform it was in presenting its contents. And that is an example of a website that does not bring comfort.

    There are many examples of symmetric design in web development. Here are some examples:

    • Reflection Symmetry (Horizontal and Vertical) – It is when there is a mirror reflection of an element, either when you draw an imaginary line from top to bottom or right to left. A more “relax” type of horizontal symmetry is approximate horizontal symmetry which is when “items do not have to half perfectly”.
    • Color Symmetry – Apart from shapes, colors can also be symmetric. This means that somewhere in the color wheel, every color has its opposite wherein if paired together, they create a balance and harmony considering symmetric design. (Just like how we have someone that is destined for us except only when you vow not to be in a relationship.)

    In conclusion, however, symmetric design does not always fit a certain concept or theme for web design. They say that it is hard to emphasize a single element when everything is symmetric. In fact, most of the websites we use such as social media sites are not symmetric, they are asymmetric. Principles and guidelines in symmetric web design are just there to help designers create a layout that is balance between aesthetically-pleasing and easy to the eyes. In the end, if you’re designing something that you own, what matters is whatever floats your boat.

    Source:

    “What Is Symmetry In Web Design And How It Can Be Achieved?” : https://tympanus.net/codrops/2012/09/04/perfectly-paired-using-symmetry-in-web-design/

    “Perfectly Paired: Using Symmetry in Web Design”: http://www.devtechnosys.com/2015/03/what-is-symmetry-in-web-design-and-how-it-can-be-achieved/

     
  • JC Sun 6:32 pm on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Wag mo akong ma-Terry Terry!!! 

    Symmetry in Social Interactions,
    sabi nga nila, wag mo gagawin sa iba yung ayaw mong gawin sayo

    Symmetry can be found in social interactions. An example of this would be the golden rule, “Do not do unto others what you do not want others to do unto you.” More philosophies involve symmetry – like karma. If you do something good/bad, something good/bad will be done to you.

    More examples of social interactions involving symmetry:

    • exchanging gifts and secret santas
    • reciprocated love/hate
    • favors
    • revenge “an eye for an eye”

    An example of revenge would be in the movie, Minsan Lang Kitang Iibigin (1994). No spoilers here! Melissa (Zsa Zsa Padilla) did something bad to Terry (Maricel Soriano) so Terry decided to do something bad to Melissa.

    Sources:
    Wikipedia (https://en.wikipedia.org/wiki/Golden_Rule)
    IMDb (http://www.imdb.com/title/tt0219178/)
    and everyday life!

     
  • Aliya Miranda 3:41 pm on February 13, 2017 Permalink | Reply
    Tags: , Symmetry   

    Symmetry in Literature 

    Example:

    1.) A French Sestina (Poetry)

    untitled

    • has a fixed poetic form of 6 stanzas, 6 lines each, envoy of 3 lines, repeating as final words of the first stanza, with the pattern shown in the image above.

    2.) Relationship Diagrams in stories

    • love triangles in different forms, with each vertex as a measurement of intensity on the affection of each character
    • family trees

    3.) A Debatable Verse by Slavko Jendricko

    untitled

    Sources:

    http://www.sciencedirect.com/science/article/pii/0898122186901513

     
  • Samantha Lopez 3:17 pm on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Cinematography 

    In film making, symmetry and one-point perspective are often used as an expressive art form. One-point perspective works by placing the camera directly opposite from the horizon and vanishing point. Prominent filmmakers such as Paul Thomas Anderson, Wes Anderson, and Stanley Kubrick make use of these techniques to frame the action in the movie.

    The three of them incorporate their personal film making styles in the use of these techniques. For example, Wes Anderson’s style is usually centered, as seen in his works – particularly in “The Grand Budapest Hotel.”

    On the other hand, Paul Thomas Anderson predominantly uses the golden ratio to create symmetry.

    https://www.premiumbeat.com/blog/the-art-of-perspective-and-symmetry-in-cinematography/

     
  • Jade De Guzman 5:44 am on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Fashion Design 

    urban_fashion_tops__dresses__skirts__slacks

     

    There are principles that are followed by fashion designers. These are balance, proportion, rhythm, emphasis, and unity. In balance, two types were tackles, the symmetrical designs and asymmetrical designs.

    Symmetrical balance or also knows as formal balance characterizes the equal “weight” of the designs when the fulcrum is acting as the center of the overall look. This means that when the designs is divided at the fulcrum, both sides have the same placement of the elements

    source: http://www.fashiondesignscope.com/?p=3302.

     
  • Joshua Castillo 5:38 am on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Transportation Vehicle Design 

    Cars, trains, airplanes, boats, all of them are shaped symmetrically, looking at them from the front. This primarily helps with aerodynamics, keeping them stable when moving at high speeds and making sure the pressure the vehicle experiences is spread out evenly.

    img        a-baa-smile-airplane

    References:
    https://pixabay.com/p-918408/?no_redirect
    https://www.emaze.com/@AOFCIRQO/airplanes

     
  • Gerard Montemayor 5:34 am on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    A network in which all devices can send and receive data at the same rates. Symmetric networks support more bandwidth in one direction as compared to the other, and symmetric DSL offers clients the same bandwidth for both downloads and uploads.

    Unlike our usual Internet connections, we have asymmetric networks where most of our bandwidth is focused on download traffic, due to the load that we get from the Internet compared to the load we send.

     
  • Jem 5:33 am on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Logos 

    There is a balanced, harmonious quality in symmetry. This makes the design consistent, orderly, and stable. We find this in some of the world’s most notable brands.

    Source: http://www.webdesignerdepot.com/2013/10/symmetry-vs-asymmetry/

    images

     
  • Camille Razal 5:23 am on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Art

     
  • Lois Velasco 1:19 am on February 13, 2017 Permalink | Reply
    Tags: Symmetry   

    Molecool 

    There are molecular structures that have symmetry. Once certain transformation in three-dimensional space is carried out (symmetry operations), the molecules will look indistinguishable from its initial orientation. These operations may be performed along a line, a plane or a point (symmetry elements).

    Reflection (σ) – Symmetric in the plane

    Rotation (Cn) – Symmetric along an n-fold symmetry axis

    Inversion (i) – Symmetric through the inversion center

    Improper Rotation (Sn) – Symmetric through an improper axis ; Rotate 360/n degrees and reflect through the plane perpendicular to the axis

    Symmetry of molecules is helpful in group theory and this has some applications in chemistry. Isn’t it interesting to see that even small particles like these have symmetry?

    Sources:
    http://troglerlab.ucsd.edu/GroupTheory224/Chap1A.pdf
    https://chem.libretexts.org/Core/Physical_and_Theoretical_Chemistry/Group_Theory/Group_Theory%3A_Theory
    http://mathworld.wolfram.com/SymmetryOperation.html

    See the link below to see the animation of certain molecules:
    http://symmetry.otterbein.edu/tutorial/index.html

     
  • Sig Encarnacion 3:13 pm on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Pottery 

    We see these in almost every household as decorations or accessories or plant containers. Some restaurants use them to cook their dishes. In Egypt, these (canopic jars) are used to house the insides of a dead body. We break pottery urns in our favorite video game to earn extra points and whatnot.

    Pot making / earthenware making is a craft that lets us mold the symmetry of the once wet clay according to what we want it to be.

     
  • Jerico Silapan 1:07 pm on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in our Galaxy 

    Milky Way Galaxy

    Milky Way Galaxy

    Symmetry in Astronomy is rooted in fundamental physics concepts like the Laws of Motion and such. Scientists exploited the symmetry found in these laws and formulated more to create the science we know today. So now, one great example of symmetry found in our universe is our very own galaxy, the Milky Way. According to a study, there is a growing arm in the galaxy, and due to a rare occurrence, it formed a mirror like appearance to it’s other half. (Which is cool!)

    Arms of the Milky Way

    Arms of the Milky Way

    References:
    Gross, David. Retrieved from http://www.pnas.org/content/93/25/14256.full
    Cowen, Ron https://www.wired.com/2011/05/milky-way-symmetry/
    http://esk6a.deviantart.com/art/Milky-Way-Galaxy-256355885

     
  • Camille Comia 12:40 pm on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Snowflakes 

    Snowflakes are symmetrical because they reflect the internal order of the water molecules as they arrange themselves during crystallization. When a minute cloud droplet first freezes into a tiny particle of ice, water vapor starts condensing on its surface, the ice particle quickly develops facets, becoming a small hexagonal prism. As the crystal becomes larger, branches begin to sprout from the six corners of the hexagon.

    While it grows, the crystal is blown to and fro inside the clouds, so the temperature it sees changes randomly with time. Since the crystal growth depends strongly on temperature, thus the six arms of the snow crystal each change their growth with time. And because all six arms see similar conditions at the same times, they all grow about the same way. The end result is a complex, branched structure that is also six-fold symmetric.

    Sources:
    https://www.scientificamerican.com/article/why-are-snowflakes-symmet/
    http://www.its.caltech.edu/~atomic/snowcrystals/faqs/faqs.htm

     
  • Angel Furio 9:54 am on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    03: Symmetric Encryption

    In symmetric encryption, if Alice and Bob wants to send messages to each other, they will both agree to a private key that they will use when communicating.

    Example: Alice wants to send a message to Bob. Alice will encrypt the message with their private key and will send it to Bob. Bob will open the message and decrypt it using the same private key.

    🙂

     
  • JC Albano 9:40 am on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Time Crystals 

    What a time to be alive! To be in the generation that a new proposed physical concept is undergoing a strict proving process to be finalized. The concept is “time crystals”. What might surprise us is that these “time crystals” are no longer just a a concept. Two groups from the University of Maryland and Harvard University have already reported their success in producing them.

    But where does symmetry play in all of these? You see some objects in reality are symmetrical in space. But here we are talking about Time Symmetry, a concept that takes too long to explain. But let’s focus on the word “crystals”. Why are they called “Time Crystals”? Surely they can be called anything but why “Crystals”? The answer to these questions is that crystals are asymmetric in nature (specifically in space), in accordance to that Time Crystals are assymetric in both TIME and SPACE.

    For time crystals the laws of nature don’t change with time, but the time crystals themselves change as it chooses a ground-state motion which spontaneously breaks TTS or (the time traversal symmetry). This is an object that has an anomaly in time, IN TIME. This is something to really look forward to hearing about.

    This should be really interesting as if all goes well in their production we can use them as information drives (like flash drives, you should read on how they work). They may not last forever in storage (kasi walang forever) but it’s certainly longer than our concept of forever.

     
  • Ryan Rivera 9:30 am on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Kaleidoscope is a device, typically cylindrical or triangular in shape, consisting of three or more mirrors. We put small colorful objects, such as beads and pieces of glass in the instrument. The light enters from one end and the viewers look through the other end. These mirrors act as reflectors and provide multiple line of symmetry to the patterns due to repeated reflections in the mirror.

    Source: http://byjus.com/maths/reflection-and-symmetry/

     
  • Deanne Caingat 8:04 am on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Beauty/Aesthetics 

    It has been scientifically proven that humans and animals find symmetric body features beautiful/attractive. It is also believed that preference for symmetry is a trait that evolved through time. In addition to that, researchers believe that having a symmetric body constitutes to having a healthy and strong immune system that is why beauty matters for animals when choosing for a mate. winkwink

    *insert my selfie here*

    Source:

    http://legacy.jyi.org/volumes/volume6/issue6/features/feng.html

     
  • Julius Carlo 6:27 am on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Week 3: Symmetric Matrices 

    Subaru’s Symmetrical All-Wheel Drive

    Yung sa Subaru na AWD, hindi siya katulad ng design ng ibang mga kotse kasi symmetrical yung design niya. Ibig sabihin, balanced yung distribution ng weight at equal ang lengths ng mga axle nito. Dahil sa symmetrical design nito, nagiging maganda ang traction ng kotse at nagiging madali ang pagdaan sa mga madudulas na kalsada gaya ng kalsadang may snow.

    https://www.motorists.org/blog/pros-cons-rear-wheel-drive-front-wheel-drive-or-all-wheel-drive/

    http://www.superstreetonline.com/how-to/chassis-suspension/sstp-1302-understanding-all-wheel-drive-systems/

    http://www.manchestersubaru.com/subaru-symmetrical-all-wheel-drive.htm

     
  • Don Abril 4:06 am on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in the Rorschach Test 

    inkrorschach

    The Rorschach (pronounced “roar-shack”) test is a well-known though controversial psychoanalytic test developed by its namesake Hermann Rorschach back in the early 1900s. The test consists of symmetrical images of inkblots on paper, which are shown to patients to evoke some kind of reaction for the psychologist to interpret.

    You might be wondering, if he wanted to draw reactions from his patients, why opt for symmetry? Hermann Rorschach himself explained when he published his work:

    “Asymmetric figures are rejected by many subjects; symmetry supplied part of the necessary artistic composition. It has a disadvantage in that it tends to make answers somewhat stereotyped. On the other hand, symmetry makes conditions the same for right and left handed subjects; furthermore, it facilitates interpretation for certain blocked subjects. Finally, symmetry makes possible the interpretation of whole scenes.”

    We may conclude that Rorschach made his inkblot images symmetric to accommodate different predispositions and ways of thinking in people.

    Trivia (makaka-relate yung mahilig sa superhero movies) : The Rorschach test’s inkblot images were used as a basis for the mask of one of  Watchmen’s (2009) characters, a ruthless vigilante conveniently named Rorschach.

    rorschach

    References/Sources:

     
  • Arthur Yiu 3:41 am on February 12, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in our senses 

    Having 2 eyes enables us to have stereoscopic vision. This gives us the ability to see in 3D! Each eye views our surroundings at a slightly different angle which results in 2 slightly different images. Our brain combines the two images by matching similarities and filling in the differences. The final image results to a view that has depth.

    Having 2 ears gives us binaural hearing. This makes it easier for us to know the direction of sound. It gives us the ability to hear farther as well as the ability to hear better. Hearing from one ear doesn’t stimulate our brain equally which results to a less balanced sound and uneasiness. The sounds we hear are also divided equally which help when in a loud environment as well as sudden loud noises.

     
  • elkingmorado 3:23 pm on February 11, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Biology 

    Dictionary definition of Symmetry in biology.

    Symmetry – “Correspondence of parts (in terms of form, size, distribution, or arrangement) on opposite sides of a dividing plane or on sides around an axis of an organims”

    Biologists use this trait as a classifying factor on describing different organisms. It is also very important in taxonomy, physiology, medicine, drug discovery, virology, microbiology, and molecular biology.

    In biology, there are three general kinds of symmetry.

    First is bilateral symmetry where you can divide your organism in a “left” and a “right” part, using an axis, and when you compare these parts they’ll look similar (wow). This is very common in vertebrates.

    Second is, radial symmetry, where given a central axis, you can divide your organism into many (usually around 4-8) parts and these parts will look the same, like pie or a pizza. Usually echinoderms and cnidarians.

    Third is, spherical symmetry, where you can divide you organism from the center. Examples are some viruses, sea invertebrates and bacteria.

     

    References:

    http://www.biology-online.org/dictionary/Symmetry

    http://www.csc.kth.se/~kootstra/download/kootstra08bmvc.pdf

    http://cfcc.edu/blogs/jrogers/files/2014/08/Invertebrate-Classification-and-Taxonomy.pdf

    Image Sources:

    http://quatr.us/math/geometry/pictures/

     

     
  • Abby del Castillo 12:54 pm on February 11, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry in Architecture 

    Many buildings and houses can be observed to have some form of symmetry. They are done this way to create balance and also emphasis on the design. There are different kinds of symmetry in architecture like bilateral and radial symmetry. I actually like to look at some buildings and just appreciate them. There is some kind of relaxing and satisfying feeling whenever I stare at these structures. These are definitely modern works of art you can observe everyday. 🙂
    Reference: http://vertical-arts.com/the-art-of-symmetry-in-architecture/

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  • Christine Felizardo 12:41 pm on February 11, 2017 Permalink | Reply
    Tags: Symmetry   

    Lorentz Symmetry 

    Lorentz symmetry states that the outcome of an experiment does not depend on certain aspects of its surroundings, namely the velocity and the direction of its moving reference frame—properties that become relevant when studying astronomical objects and launching satellites, for instance, as well as for unifying quantum mechanics and general relativity.

    Source: https://phys.org/news/2016-12-violation-lorentz-symmetry-strongest.html#jCp

     
  • Gabby Torres 12:05 pm on February 11, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry and Sunflowers 

    Sunflowers are my favorite flowers ever since I was a little. I just always thought that they were the advanced versions of daisies I drew way back in elementary school (huhu tanda ko na.) 

    Anyway, who knew I could apply this week’s topic to one of the most popular flowers in UP?

    5epqllw1iu4-papaver-rhoeas

    Sunflowers boast radial symmetry and a numerical symmetry known as a Fibonacci sequence. If you guys have the time (and energy), count the seed spirals in a sunflower and the amount of spirals add up to a Fibonacci number. Yay! :))

     

    Source: http://listverse.com/2013/04/21/10-beautiful-examples-of-symmetry-in-nature/

     
  • Aimee Gonzales 9:13 pm on February 10, 2017 Permalink | Reply
    Tags: Symmetry   

    Symmetry and General Relativity 

    One may think, “Woaah! Is there a connection between symmetry and general relativity?” The answer is yes, but the relationship is not that obvious.

    Albert Einstein, the main proponent of the Theory of General Relativity, was a visual person. Whenever he encountered a concept in his studies, he tries to imagine the image of that particular concept.

    For example, imagine someone moving towards you holding a light source, say a flashlight, with a speed of 1000 meters/sec. You would think that the photons would be travelling at (300 million + 1000) meters/sec. However, this is wrong. Einstein said that the photons would still be travelling at 300 million meters/sec, in relation to you and the person holding the flashlight.

     

    Where does symmetry enter? Symmetry is represented in the concept of the “conserved quantity” – something that retains itself no matter the perspective in which you look at it. This is basically symmetry. In the example above, no matter where you are located or where the flashlight holder is running from, the photons will still travel at the same speed, as if some underlying symmetry is present.

     

    Source: https://www.thenakedscientists.com/articles/features/importance-symmetry

     
  • Paul Rossener 8:08 pm on February 10, 2017 Permalink | Reply
    Tags: Symmetry   

    Photography Composition 

    In photography, symmetry is one good technique to achieve a balanced composition. A symmetrical photo exudes order, stability and perfection.

    Although not everything beautiful is symmetrical, and not everything symmetrical is beautiful, there are instances when an almost-perfectly symmetrical photo surpasses a non-symmetrical one. The creators of Snap Great Photos blog provided some examples of “snapping great photos” by capturing symmetry in photos.

    Screen Shot 2017-02-11 at 4.53.11 AM.png

    But as I’ve said, not all things beautiful have to be symmetric. Roberto Valenzuela shows how “breaking the symmetry” changes the story of a photo.

    screen-shot-2017-02-11-at-5-00-12-am

    The symmetrical photo on the left leaves a serene, well-composed impression, but it may also be taken as static and boring. On the other hand, the photo on the right creates a tension as the subject breaks the symmetry, which leaves a more photojournalistic feel.

     

    References:

     
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