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Mike Tate Mathematics

Cissoid of Diocles

📏 What is the Cissoid of Diocles?

The Cissoid of Diocles is a classical plane curve originally studied in the context of Greek geometry. It is defined as the locus of points generated by a specific geometric construction involving a circle and a fixed tangent line.

The name “cissoid” literally means “like an ivy leaf,” reflecting the curve’s graceful, looping shape in some presentations.

Cissoid Art Animations

Cissoid Animations

Exploring the Cissoid

🌀 Spinning Cissoid

Rotating cissoid with particle trail effects

✨ Particle Resonance

Particles following cissoid paths

🌊 Wave Cissoid

Interference patterns forming cissoids

🎭 Kaleidoscopic Cissoid

Symmetrical reflections and patterns

🌿 Organic Cissoid

Natural growth patterns inspired by cissoids

💫 Neon Cissoid

Glowing network of interconnected cissoids