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        • 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
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        • 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
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    • 2014 Publication >
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        • Art Using the Fibonacci Sequence
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        • Mathematical Landscape
        • Math Art
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      • 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

VI HART AND MATH DOODLES

Editor's Note: Diana S. ('17) was interested in math doodles, and decided to explore some two Vi Hart videos, "Spirals, Fibonacci, and Being a Plant," and "Snakes + Graphs."
Video: Spirals, Fibonacci, and Being a Plant
Picture
A screenshot from the video.
Picture
Diana's pine cone doodle.
I knew that for one of my Math Explore projects I wanted to focus on videos from the Vi Hart channel because she does a collection of videos titled doodling in math. I really like the idea of doodling in math because math patterns show up everywhere and are really beautiful and intriguing to me. I also like to doodle myself and I am always looking for new ways to expand my doodling horizons. What I liked about this video was that she showed how something so defined and mathematic, like the Fibonacci numbers, are in most plants with spirals. Before this video I remember learning about the golden spiral in geometry but I did not really remember that it was connected to the Fibonacci series.
​
I also liked how this video was very relevant to series, which we learned in the beginning of the year. I learned that the Fibonacci series derives from starting with a square with the side length of one, and then making another square with the same side length above, and then another square to the left by using those two squares as one side forms the Fibonacci series. You continue this pattern counter clockwise, like a spiral, and the series of side lengths would be 1,1,2,3,5,8,15,21… Pine cones and many other plants have spirals that follow this pattern. Vi Hart drew lines on the pinecones to see how many spirals there were and she then went backwards and first drew spirals on paper and then drew a mathematic pine cone out of the spirals. I wanted to see what it would be like to draw a mathematic pine cone, however it was much harder than I thought it would be to get the spirals right. I then watched the second video explaining how some plants grow their leaves at the angle of Φ, which is the number that the Fibonacci series converges to. I found this really interesting because Φ is the only angle that plants can grow where no leaf of petal is directly on top of another. After watching these two videos am left wondering about different types of plants and how they grow based on mathematics. I will definitely be looking at plants more in the future to see if they are based on the Fibonacci series. 
Video: Snakes + Graphs
Picture
A screenshot from the video.
Picture
More of Diana's Vi Hart inspired doodles.
The second Vi Hart video I watched was about the different ways that you can doodle a squiggle or snake and what you could do with it. What I liked about this video is that she took one very simple doodle and was able to complicate it. I found it very interesting and sort of mind boggling that if you drew any squiggle and start to draw it weaving by alternating whether the squiggle goes under or over, the weaving will always work out perfectly to make a knot. Another kind of squiggle doodle is when you have a big crossing squiggle and you draw in one shape, you will always be able to draw half of them in and none of the same color will shapes will be next to each other. To me this doodle is more of an optical illusion and I have always been very intrigued by optical illusions. I was inspired by this video to come up with my own doodles and knots and see how it works.
​
In this video she mentioned knot theory, which was something I had never heard about, and when I finished the video I was curious on what that was and whether that explains this squiggle phenomenon.  I found a video by Numberphile which explains how the knots that we know of as in tying our shoe, are not the same as mathematical knots. Mathematical knots do not have a start and a finish; they are just one continual knot. A mathematical knot is defined by the least number of crossings that it has. In this video they also explain how mathematicians have still not come up with a way to find the least number of crossings. This is probably why Vi Hart did define the knot theory in her video because there are no explanation for mathematical knots, only different names for them.
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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