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    • 2013 Publication

COLORING PATTERNS

Editor's Note: Diana S. ('17) looked into the difference between periodic and nonperiodic patterns. 
The first pattern that I decided to color in was under the section Non-Periodic Tiling. The book’s definition is: “a tiling is non-periodic if you cannot shift the pattern to another position that fits perfectly over the original position”. When I read this I still didn’t completely understand the concept because it was hard for me to visualize what they were talking about with the shifting. When I looked it up online and I still wasn’t able to understand it. I was only able to understand it once I saw the visual representation. I feel as though even the websites were having trouble explaining this topic. I found one website which had two good examples of nonperiodic vs periodic that I put below. I think that these two photos (especially with the arrows) show how for the periodic, in both ways that you could shift over the shape and it would keep repeating itself.

The specific nonperiodic tiling page that I chose was called Penrose Kite and Dart. The book talks about how in the early 1970s Roger Penrose discovered that two sets of shapes could only be tiled nonperiodically, or aperiodically. This tiling is interesting because the only way for the elaborate pattern to work is for the circular lines have to fit with each other, but the dart and the kite never fit together to form a rhombus. 
Picture
Nonperiodic
Picture
Periodic
The second pattern that I colored in was under the Transformations section and it was called Twirl the World. I think that the title for this section is interesting and relevant to what we have been learning recently. The book’s definition for transformations is: “one pattern morphs into another”. This definition is newer to me because I usually think of transformations as stretching, shrinking, or moving a graph. Technically, the same thing is happening with these patterns, but because it is a pattern instead of a graph the changes are more significant or look more significant.

​This specific transformation was very intriguing to me because when I looked at the spirals, I mostly got drawn in by the optical illusion of how the spirals are curving and overlapping. When I read the description I found out this pattern is actually a map of the earth that has been transformed into a two dimensional image. The center point of all the spirals would be the north and south poles. And the 20 lines would be paths in different directions to get towards the other pole. To color this pattern in I used different colors to color in three spirals that did not over lap with each other. After doing this, I realized that in the center of the page, between the dots, there was a line of tiles that were almost straight and connecting the poles. After that I saw that at the center of that line and of the center of the page there seemed to be four squares of the same size. I then colored the two that were not colored and continued following that line. I found it really interesting that by experimenting with coloring in the pattern I was able to find another spiral that I never would have been able to see if I did not color it in. 
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  • Home
  • Who We Are
  • HOW TO SUBMIT
  • Past Publications
    • 2019 Publication >
      • Scientific Research
      • Mathematical Exploration
      • Scientific Exploration
      • Computer Science
    • 2018 Publication >
      • Artistic Creations
      • Historical and Current Explanations
      • Mathematic and Scientific Exploration
      • Scientific Research
    • 2017 Publication >
      • Artistic Creations
      • Historical and Current Explanations
      • Mathematic and Scientific Exploration
      • Reactions and Responses
      • Scientific Research
    • 2016 Publication >
      • Historical and Current Explanations
      • Mathematic and Scientific Explorations
      • Scientific Research
      • Reactions and Responses
      • Artistic Creations
    • 2015 Publication >
      • Historical and Current Explanations >
        • Bell Curves
        • Birds Vs. Turbines
        • Energy in the Obama Era
        • The Future of Neuroscience
        • Gender Gap in Math
        • GMOs--Yes or No?
        • The History of Minecraft: How a Swedish Indie Game Came to Dominate the World
        • The Effect of Prozac on the Brain
        • Philae Lander's Discovery of Organic Molecules
        • Advantages and Disadvantages of Wind Turbines
        • Your Own Worst Enemy: An Overview of Lupus
        • The Methylhex Ban
        • The Effect of Lyme Disease on the Immune system
        • Infectious Mononucleosis
        • Replacing CFCs
        • The Switch
      • Mathematic and Scientific Explorations >
        • The 43rd Figure
        • The Clock
        • The Collatz Conjecture
        • Constructing a Soccer Ball
        • Determining how Ballparks Affect Batter's Ability to Create Hits
        • The Rotating Conundrum
        • Pythagorean Puzzle
        • Mathematic and Scientific Explorations
        • Kinetics Lab
        • Math in the Restaurant Business
        • Math as a Vessel for Social Change
        • Sustainability of Bottled Vs. Tap Water
        • Thoughts on the Lottery
        • Understanding Player Efficiency Rating
      • Scientific Research >
        • Communicating With Computers
        • The Mystery of Asthma
        • The Nanoscopic War Against Cancer
        • Phytochemistry
        • Solving the energy crisis with Intermediate Band Solar Cells
        • A Pain That Never Ends
        • Rapamycin Resistance
        • Ampacity of a Single Core Horizontal Cable
        • Morphological Properties of Texting Acronym Formation
        • cGAS and STING Expression
      • Reactions and Responses >
        • Can Humans Survive the Climate Crisis?
        • My Experience as a Teacher's Assistant
        • Ted Talk Responses
        • Teens For Food Justice
      • Artistic Creations >
        • Chandelier
        • Deltoidal Hexacontrahedon
        • Dodecahedron Card Trick
        • Eye of the Triangle
        • Free Radric Delantic Davis
        • The Grid
        • What Does A Randomly Composed Song Sound Like?
        • Science Wing Mural
    • 2014 Publication >
      • Cover Photo
      • Artistic Creations >
        • Art Using the Fibonacci Sequence
        • Computer Generated Architecture and Designs
        • Mathematical Landscape
        • Math Art
        • Math in Music
      • Historical and Current Explanations >
        • Algae Bio-Fuel
        • An Energy Alternative
        • Clean Energy In Transportation
        • Calorie Restriction
        • Creating Energy in the Modern World
        • Dietary Intervention Impact on Gut Microbial Gene Richness
        • Earthly Applications for NASA Technology
        • Explaining Relative Motion
        • Exploring Artificial Inteligence
        • Gamma Function
        • How Leaves Work
        • Hydrogen Fuel Cells
        • Music and Brain Development
        • Programming Calculators
        • The Science of Microsatellites
        • Sci-Fi Taser
        • Sloane's Gap
        • Sustainable Energy: Why Some Ideas Shine Brighter than Others
        • Understanding The Galvanic Cell
        • The Virus: Our Unforeseen Philosopher's Stone
        • What Are Fuel Cells and How Do They Work?
      • Mathematic and Scientific Explorations >
        • Astrocytes Expressing ALS-Linked Mutated SOD1 Release Factors Selectively Toxic to Motor Neurons
        • Big Bang
        • Dictyostelium Discoideum
        • The Future of Solar Cell Technology
        • And Many More...
      • Reactions and Responses >
        • Alternative Energy Sources, New but Unused
        • An Insight Into the Curious World of Ethnobotany
        • Challenging What We Think We Know
        • The Current State of American Education
        • Discovering New Numbers
        • Interview With an Architect
        • Life of Pi Response
        • Mathematical Art Video Commentary
        • Missing from Science Class
        • The Museum of Math
        • The Inside Scoop on a Real Mathematician
    • 2013 Publication