Curves and Surfaces

Guillermo Bautista, Mar 5, 2022

My collection of curves and surfaces.

Table of Contents

  1. Chapter 1: Curves in 2D
    1. Butterfly Curve
    2. Witch of Agnesi
    3. Parametric Curve 1
    4. Cycloid
    5. Spirographs 2
    6. Parametric Curve Design 1
    7. Cycloid
    8. Lissajous Curves
    9. Cardioid
  2. Chapter 2: Curves in 3D
    1. Spiral on a Sphere (1)
    2. Spiral on a Sphere (2)
    3. Curves on a Sphere
    4. Spiral around a Paraboloid
    5. Viviani's Curve
    6. Sine and Cosine Helices
    7. Chrysanthemum (3D)
    8. 3D Basin
  3. Chapter 3: Surfaces
    1. Klein Bottle
    2. Gabriel's Horn
    3. Nautilus
    4. Cyclide of Dupin
    5. Mobius Strip
    6. Catenoid
    7. Julia's Parametric Heart Surface

1.

Chapter 1: Curves in 2D

  • 1. Butterfly Curve
  • 2. Witch of Agnesi
  • 3. Parametric Curve 1
  • 4. Cycloid
  • 5. Spirographs 2
  • 6. Parametric Curve Design 1
  • 7. Cycloid
  • 8. Lissajous Curves
  • 9. Cardioid

1.1.

Butterfly Curve

Reference: [url=http://paulbourke.net/geometry/butterfly/]http://paulbourke.net/geometry/butterfly/[/url]
– Guillermo Bautista

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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2.

Chapter 2: Curves in 3D

  • 1. Spiral on a Sphere (1)
  • 2. Spiral on a Sphere (2)
  • 3. Curves on a Sphere
  • 4. Spiral around a Paraboloid
  • 5. Viviani's Curve
  • 6. Sine and Cosine Helices
  • 7. Chrysanthemum (3D)
  • 8. 3D Basin

2.1.

Spiral on a Sphere (1)

– Guillermo Bautista

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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3.

Chapter 3: Surfaces

  • 1. Klein Bottle
  • 2. Gabriel's Horn
  • 3. Nautilus
  • 4. Cyclide of Dupin
  • 5. Mobius Strip
  • 6. Catenoid
  • 7. Julia's Parametric Heart Surface

3.1.

Klein Bottle

– Guillermo Bautista

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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