Spirograph Simulator - Create Beautiful Mathematical Art | 8gwifi.org

🌀 Spirograph Simulator 🌀

Create mesmerizing mathematical art patterns with parametric curves

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🧠 How Spirographs Work

A spirograph is a mathematical curve generated by a point on a smaller circle rolling inside or outside a larger fixed circle.

Parameters:

  • R: Radius of the fixed outer circle
  • r: Radius of the rolling inner circle
  • d: Distance of the pen from the center of the rolling circle

Types of Curves:

  • Hypocycloid: When the smaller circle rolls inside the larger one (r < R)
  • Epicycloid: When the smaller circle rolls outside the larger one (r > R)
  • The ratio R/r determines the number of "petals" or loops in the pattern
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