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Logarithmic spiral

Two-arm rotating galaxy with non-crossing spirals

3D particle system

A log spiral r = a e^{bθ}. Two arms offset by π keep a permanent angular gap; scatter is tiny so the bands never merge.

Each star orbits with ω proportional to r^{−0.7}: the core is fast and the rim is slow, instead of the disc spinning as a rigid body. Six satellites ride the outer ring at equal spacing.

Related surfaces