telegrime · superformula lab

r(θ) = ( |cos(mθ/4)|^n₂ + |sin(mθ/4)|^n₃ )^−1/n₁

θ — the drawing angle 360°

drag the slider, touch/drag the canvas to point θ at your finger, or mouse-scroll over it. the curve is traced from 0° up to θ; the bright arm is the radius r(θ) at exactly that angle.

m — rotational symmetry (petals/spikes)

n₁ — overall pinch (small = spiky)

n₂ — cos-lobe sharpness

n₃ — sin-lobe sharpness

site keyframes (what scroll morphs between on telegrime.com)

same equation + gradient as telegrime.com. scroll on the site = interpolating between these keyframes in radius space.

equation: johan gielis' superformula. visualisation style inspired by grant sanderson (3blue1brown) and manim.