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Awesome Procedural Curves Using Geometry Node in Blender – Set 2 (E-H)

This post continues to document more curves in addition to what we covered in Set 1 (A-D), Set 3 (I-R) & Set 4 (S-Z). You can download the blend file from my Gumroad page.

Ellipse

Curve Equation

(x2/a2) + (y2/b2) = 1

Equiangular Spiral

Curve Equation

r = a exp(θ cot b)

Epicycloid

Curve Equations

x = (a + b) cos(t) - b cos((a/b + 1) t)
y = (a + b) sin(t) - b sin((a/b + 1) t)

Epitrochoid

Curve Equation

x = (a + b) cos(t) - c cos((a/b + 1)t)
y = (a + b) sin(t) - c sin((a/b + 1)t)

Fermat’s Spiral

Curve Equation

r2 = a2θ 

Folium of Descartes

Curve Equation

x3 + y3 = 3axy

Frequency Curve

Curve Equation

y = √(2π) exp(-x2/2)

Hyperbolic Spiral

Curve Equation

r = a/θ

Hypocycloid

Curve Equation

x = (a - b) cos (t) + b cos ((a/b - 1) t)
y = (a - b) sin (t) + b sin ((a/b - 1) t)

Hypotrochoid

Curve Equation

x = (a - b) cos (t) + c cos ((a/b - 1) t)
y = (a - b) sin (t) + c sin ((a/b - 1) t)

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