Art & Animations

Juan Carlos Ponce Campuzano, Cristóbal Vila, Jan 10, 2023

Hello! This is a set of fun animations that I made using different GeoGebra commands. For example, some of the basic commands I used are: [list] [*] Rotation() [*] Translation() [*] Dilatation() [*] Sequence() [/list] Other advanced commands that I frequently used are: [list] [*] SetDynamicColor() [*] Execute() [*] Zip() [*] Flatten() [*] CopyFreeObject() [/list] Almost all the applets were made using [b]GeoGebraScript[/b]. Download the applets to your computer. Open the ggb file with [b]GeoGebra classic[/b] (version 5 is the one I use). Open the [b]Algebra[/b] view and then look for the button with label [b]Setup[/b] to see the GGBScript. For more information about [b]GGBScript[/b] go to: [url]https://wiki.geogebra.org/en/Tutorial:Introduction_to_GeoGebraScript[/url] I hope you find useful these constructions. If you make something based on this work, please, let me know by email jcponcemath@gmail.com or send me a tweet @jcponcemath

Table of Contents

  1. Two dimensions B&W
    1. Optical illusion
    2. Waves with dots
    3. Waves with dots II
    4. Wind
    5. Waves & dots
    6. Wind II
    7. Wind III
    8. Wind IV
    9. Wind V
    10. Triangle umbrella
    11. Pentagonal Umbrella
    12. 4-simplex
    13. Simplexes
    14. Moire patterns
    15. Rotating embedded regular polygons
    16. Animation flower
    17. Animation flower II
    18. Animation flower III
    19. Animation flower IV
    20. Animation flower V
    21. Rotating hexagonal segments
    22. Circles animation with parametric curves
    23. Space travel
    24. Animation polygon B&W
    25. Animation polygon B&W II
    26. Pixelated waves
    27. Knots
    28. Skip the Curve
    29. Golden ratio
    30. Dance of the Cantor Set
    31. Check this out!
    32. Harmony
    33. Hexagonal spin
    34. Mixing
  2. Two dimensions Color
    1. Waves & dots
    2. Rotation inside triangle
    3. Water waves
    4. Water waves II
    5. Water waves III
    6. Rolling shutter
    7. Rolling shutter II
    8. Colorful shapes
    9. Colorful shapes II
    10. Colorful waves on circle
    11. Random labyrinths
    12. Recamán's sequence
    13. Colourful waves with circles
    14. The Fourier Transform
    15. Rainbow circles animation with parametric curves
    16. Dancing circles
    17. Rainbow sunflower
    18. Rainbow Sunflower growing in spirals
    19. Sunflower pattern
    20. Rainbow sunflower II
    21. Sunflower with zoom
    22. Rainbow Cantor set animation
    23. Cantor set on a disk
    24. Harter-Heighway Dragon fractal
    25. Cubes illusion III
    26. Cubes illusion II
    27. Cube illusion
    28. Visual representation of Fibonacci sequence mod 9
    29. Visual representation of the digital root of Fibonacci sequence
    30. Fibonacci sequence visual representation
    31. Recamán's sequence II
    32. Fourier Transform animation
    33. Fourier Transform animation: Saw tooth
    34. Fourier Transform animation: Signal
    35. Polygon illusion
    36. Perception illusion
    37. Perception illusion II
    38. Hypotrochoid: Triangles and Squares
    39. Triangles-Squares animation
    40. A square knot
    41. Tesselación hexagonal
    42. Hexagons animation
    43. DVD logo animation
    44. Rainbow snake
    45. Impossible figures
    46. Wave strings
    47. Flower curves
    48. Random colorful trees
    49. Rainbow Fibonacci Spiral
    50. Immersive complex space
    51. Gears
    52. Colorful random circles
    53. Colorful Nautilus
    54. Waves over interval
    55. Coloring lists and classes of objects
    56. Rainbow conics as envelopes of straight lines
    57. Jellyfish
    58. Time-dependent vector field III
    59. Time-dependent vector field II
    60. Rainbow solution curves of ODEs
    61. Dancing solution curves of ODEs
    62. Dancing solution curves of ODEs II
    63. Rainbow rotation illusion
    64. Pencil of conics
    65. Generative art with segments
    66. Rainbow snake with attractor
    67. The dance of the rhombi
    68. Rainbow Pappus chain
    69. Impossible triangle animation
    70. Rosetón San Ildefonso
    71. Colorful circles
    72. Sea creature animation
    73. Rectangular random art
    74. Flag & wind
    75. Circle rotation illusion
    76. 2D Rainbow Steiner chain
    77. Galaxy: Rotations and Dilatations
    78. Galaxy II: Rotations and Dilatations
    79. Mystery curve
    80. Colorful Mystery curves
    81. Colorful Labyrinth
    82. Complex spiral
    83. Electric field
    84. Growing trees randomly
    85. Koch fractal animated tiling
    86. Mystery curves flying
    87. Dot fever 001
    88. Sine light on circle
    89. Sine light on circle II
    90. Rainbow reflection on circle
    91. Sine light on Spiral
    92. Sine light on Golden Spiral
    93. Inifinite zoom on mystery curve
    94. Infinite Mystery curves II
    95. For Thijs - Yeganeh: A bird in flight (2015)
    96. Rainbow circles
    97. Water Drop
    98. Complex roots of ax^2+bx+c
    99. Sacred spiral
    100. GeoGebra Text motion
    101. Fun with stars
    102. Complementary Wave
    103. Complementary Waves in Blue
    104. Marble
    105. Wiggle curve
  3. Three dimensions
    1. Möbius bands animation with segments
    2. Klein bottle with unit normal vectors and Mobius band
    3. Rainbow Möbius bands animation with segments
    4. Snake
    5. Rainbow snake
    6. Sunflower points distribution on Sphere
    7. Organic columns
    8. Rainbow torus knots animation
    9. Dancing Cubes defined on torus knots
    10. Dancing cubes on torus knots II
    11. Tribute to Hilma af Klint
    12. Cylinders on torus knot
    13. Butterfly making rainbow curves
    14. Mariposa trazando curvas de colores
    15. Dimensions
    16. Rainbow Möbius bands animation with segments
    17. Möbius strip with rainbow unit normal vectors
    18. Colorful Rhombicuboctahedro animated
    19. Rhombicuboctahedro animated
    20. Rhombicosidodecahedron animated
    21. Pyritohedron
    22. Rhombic dodecahedron from a cube animation
    23. Sphere-cylinder-plane transformation
    24. Surface area of a sphere
    25. Sphere scanning
    26. Pyramid dissection
    27. Flying creature
    28. Butterfly
    29. Sphere decoration
    30. Figure 8 surface
    31. Pac-Men trying to eat in 3D
    32. Umbilic torus
    33. Polyhedra packing
    34. Colorful Seashell
    35. Pac-Man 3D with no walls
    36. Rose and bee flying around
    37. Flower with rainbow butterfly
    38. Waves on the sphere
    39. Rainbow pyramid
    40. 3D Rainbow Steiner chain
    41. 3D Mystery curve
    42. Complex parametric curves
    43. Inside the rainbow torus
    44. Rainbow Figure 8 surface
    45. Rainbow Torus
    46. Rainbow Klein bottle
    47. Tetahedra rolling on Icosahedron
    48. Rainbow Voronoi on sphere
    49. Voronoi diagram on sphere
    50. Dancing hat
    51. Torus illusion
    52. Torus illusion II
    53. Flowers
    54. Polyhedra packing animation
    55. Cubes animation
    56. Spiky flower
    57. Spiky flower with music
    58. Time traveling
    59. Rainbow cubes dance
    60. Inside the torus
    61. Torus: Void
    62. Rainbow pendulums waves
    63. A coffee cup and a doughnut
    64. Rotation of spheres
    65. Spring around torus
    66. Square waves

1.

Two dimensions B&W

  • 1. Optical illusion
  • 2. Waves with dots
  • 3. Waves with dots II
  • 4. Wind
  • 5. Waves & dots
  • 6. Wind II
  • 7. Wind III
  • 8. Wind IV
  • 9. Wind V
  • 10. Triangle umbrella
  • 11. Pentagonal Umbrella
  • 12. 4-simplex
  • 13. Simplexes
  • 14. Moire patterns
  • 15. Rotating embedded regular polygons
  • 16. Animation flower
  • 17. Animation flower II
  • 18. Animation flower III
  • 19. Animation flower IV
  • 20. Animation flower V
  • 21. Rotating hexagonal segments
  • 22. Circles animation with parametric curves
  • 23. Space travel
  • 24. Animation polygon B&W
  • 25. Animation polygon B&W II
  • 26. Pixelated waves
  • 27. Knots
  • 28. Skip the Curve
  • 29. Golden ratio
  • 30. Dance of the Cantor Set
  • 31. Check this out!
  • 32. Harmony
  • 33. Hexagonal spin
  • 34. Mixing

1.1.

Optical illusion

– Juan Carlos Ponce Campuzano

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

1.8.

–

1.9.

–

1.10.

–

1.11.

–

1.12.

–

1.13.

–

1.14.

–

1.15.

–

1.16.

–

1.17.

–

1.18.

–

1.19.

–

1.20.

–

1.21.

–

1.22.

–

1.23.

–

1.24.

–

1.25.

–

1.26.

–

1.27.

–

1.28.

–

1.29.

–

1.30.

–

1.31.

–

1.32.

–

1.33.

–

1.34.

–

2.

Two dimensions Color

  • 1. Waves & dots
  • 2. Rotation inside triangle
  • 3. Water waves
  • 4. Water waves II
  • 5. Water waves III
  • 6. Rolling shutter
  • 7. Rolling shutter II
  • 8. Colorful shapes
  • 9. Colorful shapes II
  • 10. Colorful waves on circle
  • 11. Random labyrinths
  • 12. Recamán's sequence
  • 13. Colourful waves with circles
  • 14. The Fourier Transform
  • 15. Rainbow circles animation with parametric curves
  • 16. Dancing circles
  • 17. Rainbow sunflower
  • 18. Rainbow Sunflower growing in spirals
  • 19. Sunflower pattern
  • 20. Rainbow sunflower II
  • 21. Sunflower with zoom
  • 22. Rainbow Cantor set animation
  • 23. Cantor set on a disk
  • 24. Harter-Heighway Dragon fractal
  • 25. Cubes illusion III
  • 26. Cubes illusion II
  • 27. Cube illusion
  • 28. Visual representation of Fibonacci sequence mod 9
  • 29. Visual representation of the digital root of Fibonacci sequence
  • 30. Fibonacci sequence visual representation
  • 31. Recamán's sequence II
  • 32. Fourier Transform animation
  • 33. Fourier Transform animation: Saw tooth
  • 34. Fourier Transform animation: Signal
  • 35. Polygon illusion
  • 36. Perception illusion
  • 37. Perception illusion II
  • 38. Hypotrochoid: Triangles and Squares
  • 39. Triangles-Squares animation
  • 40. A square knot
  • 41. Tesselación hexagonal
  • 42. Hexagons animation
  • 43. DVD logo animation
  • 44. Rainbow snake
  • 45. Impossible figures
  • 46. Wave strings
  • 47. Flower curves
  • 48. Random colorful trees
  • 49. Rainbow Fibonacci Spiral
  • 50. Immersive complex space
  • 51. Gears
  • 52. Colorful random circles
  • 53. Colorful Nautilus
  • 54. Waves over interval
  • 55. Coloring lists and classes of objects
  • 56. Rainbow conics as envelopes of straight lines
  • 57. Jellyfish
  • 58. Time-dependent vector field III
  • 59. Time-dependent vector field II
  • 60. Rainbow solution curves of ODEs
  • 61. Dancing solution curves of ODEs
  • 62. Dancing solution curves of ODEs II
  • 63. Rainbow rotation illusion
  • 64. Pencil of conics
  • 65. Generative art with segments
  • 66. Rainbow snake with attractor
  • 67. The dance of the rhombi
  • 68. Rainbow Pappus chain
  • 69. Impossible triangle animation
  • 70. Rosetón San Ildefonso
  • 71. Colorful circles
  • 72. Sea creature animation
  • 73. Rectangular random art
  • 74. Flag & wind
  • 75. Circle rotation illusion
  • 76. 2D Rainbow Steiner chain
  • 77. Galaxy: Rotations and Dilatations
  • 78. Galaxy II: Rotations and Dilatations
  • 79. Mystery curve
  • 80. Colorful Mystery curves
  • 81. Colorful Labyrinth
  • 82. Complex spiral
  • 83. Electric field
  • 84. Growing trees randomly
  • 85. Koch fractal animated tiling
  • 86. Mystery curves flying
  • 87. Dot fever 001
  • 88. Sine light on circle
  • 89. Sine light on circle II
  • 90. Rainbow reflection on circle
  • 91. Sine light on Spiral
  • 92. Sine light on Golden Spiral
  • 93. Inifinite zoom on mystery curve
  • 94. Infinite Mystery curves II
  • 95. For Thijs - Yeganeh: A bird in flight (2015)
  • 96. Rainbow circles
  • 97. Water Drop
  • 98. Complex roots of ax^2+bx+c
  • 99. Sacred spiral
  • 100. GeoGebra Text motion
  • 101. Fun with stars
  • 102. Complementary Wave
  • 103. Complementary Waves in Blue
  • 104. Marble
  • 105. Wiggle curve

2.1.

Waves & dots

– Juan Carlos Ponce Campuzano

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

2.11.

–

2.12.

–

2.13.

–

2.14.

–

2.15.

–

2.16.

–

2.17.

–

2.18.

–

2.19.

–

2.20.

–

2.21.

–

2.22.

–

2.23.

–

2.24.

–

2.25.

–

2.26.

–

2.27.

–

2.28.

–

2.29.

–

2.30.

–

2.31.

–

2.32.

–

2.33.

–

2.34.

–

2.35.

–

2.36.

–

2.37.

–

2.38.

–

2.39.

–

2.40.

–

2.41.

–

2.42.

–

2.43.

–

2.44.

–

2.45.

–

2.46.

–

2.47.

–

2.48.

–

2.49.

–

2.50.

–

2.51.

–

2.52.

–

2.53.

–

2.54.

–

2.55.

–

2.56.

–

2.57.

–

2.58.

–

2.59.

–

2.60.

–

2.61.

–

2.62.

–

2.63.

–

2.64.

–

2.65.

–

2.66.

–

2.67.

–

2.68.

–

2.69.

–

2.70.

–

2.71.

–

2.72.

–

2.73.

–

2.74.

–

2.75.

–

2.76.

–

2.77.

–

2.78.

–

2.79.

–

2.80.

–

2.81.

–

2.82.

–

2.83.

–

2.84.

–

2.85.

–

2.86.

–

2.87.

–

2.88.

–

2.89.

–

2.90.

–

2.91.

–

2.92.

–

2.93.

–

2.94.

–

2.95.

–

2.96.

–

2.97.

–

2.98.

–

2.99.

–

2.100.

–

2.101.

–

2.102.

–

2.103.

–

2.104.

–

2.105.

–

3.

Three dimensions

  • 1. Möbius bands animation with segments
  • 2. Klein bottle with unit normal vectors and Mobius band
  • 3. Rainbow Möbius bands animation with segments
  • 4. Snake
  • 5. Rainbow snake
  • 6. Sunflower points distribution on Sphere
  • 7. Organic columns
  • 8. Rainbow torus knots animation
  • 9. Dancing Cubes defined on torus knots
  • 10. Dancing cubes on torus knots II
  • 11. Tribute to Hilma af Klint
  • 12. Cylinders on torus knot
  • 13. Butterfly making rainbow curves
  • 14. Mariposa trazando curvas de colores
  • 15. Dimensions
  • 16. Rainbow Möbius bands animation with segments
  • 17. Möbius strip with rainbow unit normal vectors
  • 18. Colorful Rhombicuboctahedro animated
  • 19. Rhombicuboctahedro animated
  • 20. Rhombicosidodecahedron animated
  • 21. Pyritohedron
  • 22. Rhombic dodecahedron from a cube animation
  • 23. Sphere-cylinder-plane transformation
  • 24. Surface area of a sphere
  • 25. Sphere scanning
  • 26. Pyramid dissection
  • 27. Flying creature
  • 28. Butterfly
  • 29. Sphere decoration
  • 30. Figure 8 surface
  • 31. Pac-Men trying to eat in 3D
  • 32. Umbilic torus
  • 33. Polyhedra packing
  • 34. Colorful Seashell
  • 35. Pac-Man 3D with no walls
  • 36. Rose and bee flying around
  • 37. Flower with rainbow butterfly
  • 38. Waves on the sphere
  • 39. Rainbow pyramid
  • 40. 3D Rainbow Steiner chain
  • 41. 3D Mystery curve
  • 42. Complex parametric curves
  • 43. Inside the rainbow torus
  • 44. Rainbow Figure 8 surface
  • 45. Rainbow Torus
  • 46. Rainbow Klein bottle
  • 47. Tetahedra rolling on Icosahedron
  • 48. Rainbow Voronoi on sphere
  • 49. Voronoi diagram on sphere
  • 50. Dancing hat
  • 51. Torus illusion
  • 52. Torus illusion II
  • 53. Flowers
  • 54. Polyhedra packing animation
  • 55. Cubes animation
  • 56. Spiky flower
  • 57. Spiky flower with music
  • 58. Time traveling
  • 59. Rainbow cubes dance
  • 60. Inside the torus
  • 61. Torus: Void
  • 62. Rainbow pendulums waves
  • 63. A coffee cup and a doughnut
  • 64. Rotation of spheres
  • 65. Spring around torus
  • 66. Square waves

3.1.

Möbius bands animation with segments

Drag 3d view with mouse to change view! Drag slider n!
– Juan Carlos Ponce Campuzano

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

3.8.

–

3.9.

–

3.10.

–

3.11.

–

3.12.

–

3.13.

–

3.14.

–

3.15.

–

3.16.

–

3.17.

–

3.18.

–

3.19.

–

3.20.

–

3.21.

–

3.22.

–

3.23.

–

3.24.

–

3.25.

–

3.26.

–

3.27.

–

3.28.

–

3.29.

–

3.30.

–

3.31.

–

3.32.

–

3.33.

–

3.34.

–

3.35.

–

3.36.

–

3.37.

–

3.38.

–

3.39.

–

3.40.

–

3.41.

–

3.42.

–

3.43.

–

3.44.

–

3.45.

–

3.46.

–

3.47.

–

3.48.

–

3.49.

–

3.50.

–

3.51.

–

3.52.

–

3.53.

–

3.54.

–

3.55.

–

3.56.

–

3.57.

–

3.58.

–

3.59.

–

3.60.

–

3.61.

–

3.62.

–

3.63.

–

3.64.

–

3.65.

–

3.66.

–

Information