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Home / 🔮 world building / science and engineering / Mathematics / pure mathematics / Euler Spiral

Euler Spiral

Also known as clothoids, spiros or Cornu spirals
They are curves whose curvature changes linearly with curve length (curvature of
a circular circle is the reciprocal of it's radius)
eg: Railway tracks where the curve changes into a straight track

Derived using Fresnel Integrals

Usages

Track Transition Curves
Used in Optics to describe diffraction patterns
Rollercoaster clothoids
Velodromes (bicycle curves) - for rapid entry and gradual exit

Tags:
Jerk
clothoids

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