Awesome Procedural Curves Using Geometry Node in Blender – Set 3 (I-R)

This post continues to document more curves in addition to what we covered in Set 1 (A-D), Set 2 (E-H) & Set 4 (S-Z). You can download the blend file from my Gumroad page.

Involute of a Circle

Curve Equation

x = a(cos(t) + t sin(t))

y = a(sin(t) - t cos(t))

Kampyle of Eudoxus

Curve Equation

a2x4 = b4(x2 + y2)

Kappa Curve

Curve Equation

y2(x2 + y2) = a2x2

Lemniscate of Bernoulli

Curve Equation

(x2 + y2)2 = a2(x2 - y2)

Limacon of Pascal

Curve Equation

(x2 + y2 - 2ax)2 = b2(x2 + y2)

Lissajous Curves

Curve Equation

x = a sin(nt + c)

y = b sin(t)

Lituus Curve

Curve Equation

r2 = a2/θ

Parabola

Curve Equation

y = ax2 + bx + c

Pearls of Sluze

Curve Equation

yn = k (a - x)p xm

Pursuit Curve

Curve Equation

y = cx2 - log(x)

Quadratrix of Hippias

Curve Equation

y = x cot (πx/2a)

Right Strophoid

Curve Equation

y2 = x2 (a-x)/(a+x)