Math Art: Dot Fever Series

Juan Carlos Ponce Campuzano, Nov 22, 2020

Abstract Math Art with Dots and Waves

Table of Contents

  1. Introduction
    1. What is this 'Dot fever' about?
  2. Red series
    1. Dot fever 001
    2. Dot fever 002
    3. Dot fever 003
    4. Dot fever 004
    5. Dot fever 005
    6. Dot fever 006
    7. Dot fever 007
    8. Dot fever 008
    9. Dot fever 009
    10. Dot fever 010
    11. Dot fever 011
    12. Dot fever 012
    13. Dot fever 013
    14. Dot fever 014
    15. Dot fever 015
    16. Dot fever 016
    17. Dot fever 017
    18. Dot fever 018
    19. Dot fever 019
    20. Dot fever 020
  3. Blue series
    1. Fireworks in blue
    2. Binary rain in blue
    3. Binary order
    4. Scanning
    5. Wavy blob
    6. Bubble
    7. Shady sphere
    8. Spiral
    9. Gravity
  4. Scripting
    1. Dot fever: Initial script
    2. Dot fever: Improved script

1.

Introduction

  • 1. What is this 'Dot fever' about?

1.1.

What is this 'Dot fever' about?

[size=150][b]Hi! Welcome to the Dot fever series![/b][br][br]In Twitter I saw some amazing animations with red and white dots by [url=https://twitter.com/ntsutae]ntsutae[/url]. You can see the tweet [url=https://twitter.com/ntsutae/status/1327422887515439104]here[/url]. These animations were made with the minimalistic creative coding environment called [url=https://tixy.land/]tixy.land[/url] created by [url=http://aem1k.com/]Martin Kleppe[/url]. After studying the source code I thought it was possible to make a GeoGebra (GGB) version of these animations. This book contains the results of my implementation in GGB.[br][br]I would like to thank [url=https://www.geogebra.org/u/thijs]Thijs[/url] who helped me to improve the GGB script. If you like to see more amazing applets, you must check [url=https://www.geogebra.org/u/thijs]Thijs[/url]'s work.[br][br]Finally, if you like to see the script, please download the GGB file and look for the button with label: [i]Script. [/i]Or check the last chapter of this book to see the initial and improved versions of the script.[br][br][b]Enjoy![/b][/size]
– Juan Carlos Ponce Campuzano

2.

Red series

  • 1. Dot fever 001
  • 2. Dot fever 002
  • 3. Dot fever 003
  • 4. Dot fever 004
  • 5. Dot fever 005
  • 6. Dot fever 006
  • 7. Dot fever 007
  • 8. Dot fever 008
  • 9. Dot fever 009
  • 10. Dot fever 010
  • 11. Dot fever 011
  • 12. Dot fever 012
  • 13. Dot fever 013
  • 14. Dot fever 014
  • 15. Dot fever 015
  • 16. Dot fever 016
  • 17. Dot fever 017
  • 18. Dot fever 018
  • 19. Dot fever 019
  • 20. Dot fever 020

2.1.

Dot fever 001

– Juan Carlos Ponce Campuzano

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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2.16.

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2.17.

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2.18.

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2.19.

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2.20.

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3.

Blue series

  • 1. Fireworks in blue
  • 2. Binary rain in blue
  • 3. Binary order
  • 4. Scanning
  • 5. Wavy blob
  • 6. Bubble
  • 7. Shady sphere
  • 8. Spiral
  • 9. Gravity

3.1.

Fireworks in blue

– Juan Carlos Ponce Campuzano

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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4.

Scripting

  • 1. Dot fever: Initial script
  • 2. Dot fever: Improved script

4.1.

Dot fever: Initial script

GGB script
[size=150]#=====================================[br]# Define slider and initial settings[br]#=====================================[br]t = Slider(0, 2pi, 0.01, 1, 170, false, true, false, false)[br]L = Sequence(k, k, -10, 10)[br]size = Length(L)[br][br]#=====================================[br]# Functions[br]#=====================================[br]g(x) = (2 / (1+exp(-x)) - 1)*0.5[br]f(x, y) = 0.5 * sin(sqrt(x^2 + y^2) - t)[br][br]#=====================================[br]# Define Circles with names[br]#=====================================[br]Execute(Flatten(Sequence(Sequence("A"+k+"_"+j+" = Circle((Element(L, "+k+"), Element(L, "+j+")), abs(g( f( Element(L, "+k+"), Element(L, "+j+") ) ) ) )", k, 1, size), j, 1, size)))[br][br]#=====================================[br]# Settings and colors :)[br]#=====================================[br]Execute(Flatten(Sequence(Sequence("ShowLabel(A"+k+"_"+j+", false)", k, 1, size), j, 1, size)))[br]Execute(Flatten(Sequence(Sequence("SetDynamicColor(A"+k+"_"+j+", If(f( Element(L, "+k+"), Element(L, "+j+")) < 0, 1, 1), If(f( Element(L, "+k+"), Element(L, "+j+")) < 0, 1, 0), If(f( Element(L, "+k+"), Element(L, "+j+")) < 0, 1, 0), 1)", k, 1, size), j, 1, size)))[br][/size][size=150][br]#=====================================[br]# That's it! Enjoy! [br]#=====================================[/size]
– Juan Carlos Ponce Campuzano

4.2.

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Information