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About the math

Sixteen creatures, one loop. m = i%16·13 assigns each point to one of sixteen siphonophores — colonial animals that are actually colonies of cloned organisms. Each gets its own phase offset through every term.

The magic exponent. p = d^sin(d²−t+m): the exponent itself swings between −1 and +1 as time passes. Points near the creature stay anchored while outer points get flung outward and recalled — that's the tentacle reach-and-grab you're watching.

The figure-8 current. All sixteen ride a shared Lissajous path — 99·sin(c) across, 99·sin(4c) up/down. A 1:4 frequency ratio traces a figure-8; the phase offset m spaces them along it like beads on an invisible wire.

a=(m,d=mag(k=9*cos(i*5)*sin(i),e=cos(i*3)*cos(i*2)*9)**3/1999+1.5-sin(t/2+m)**3/3)=>point(99*sin(c=d/16-t/48+m)+k*(p=d**sin(d*d-t+m))+200,99*sin(c*4)+e*p+200) · called a(i%16*13)