Equation Gallery

Digital lifeforms grown from pure mathematics — wing membranes, jet propulsion, schooling behavior. Every creature is a system of equations you can steer in real time.

Exhibit 001

Starlit Manta

An eagle ray built from an inextensible wing membrane and a passive tail filament — 58,000 points solved per frame with Lambert shading and a living spot field.

16 parameters·4 palettes·flap physics
Exhibit 002

Point-cloud Squid Shoal

Squids that swim by jet propulsion — mantles squeeze and stretch, arms trail, chromatophores flicker — schooling together until something startles them.

6 parameters·schooling behavior·startle response
Exhibit 003

Four Jellyfish

Four luminous creatures pulsing on their own phases — one formula, the expression i%4·5. Change the hue, grow up to eight, and watch the bells contract on their own schedule.

6 parameters·hue control·jelly count 1–8
Exhibit 004

Chaos Garden

Ten thousand points dancing on the edge of chaos — two irrational harmonics that never repeat. Re-seed the frequencies and an entirely new lifeform grows from the same three lines.

5 parameters·re-seedable·never loops
Exhibit 005

Fish School

Forty-three fish flexing their spines in stacked arcs — and when a fish's distance field spikes, the d⁴ term makes it dart. A bait ball that ripples.

6 parameters·43 fish·darting bursts
Exhibit 006

Siphonophore Shoal

Sixteen colonial creatures with oscillating tentacles riding a figure-8 current — the exponent itself breathes, flinging and recalling every arm.

6 parameters·creature count 2–24·figure-8 current