# Small Cubicuboctahedron

This is the **small cubicuboctahedron**, as drawn by Robert Webb’s Great Stella software. It looks simple enough, but it conceals some interesting mathematics.

This is the **small cubicuboctahedron**, as drawn by Robert Webb’s Great Stella software. It looks simple enough, but it conceals some interesting mathematics.

This picture drawn by Katherine Stange shows what happens when we apply fractional linear transformations $ z \mapsto \frac{a z + b}{c z + d} $ to the real line sitting in the complex plane, where $a,b,c,d$ are **Eisenstein integers** that is, complex numbers of the form $ m + n \exp(2 \pi i/3) $ with $m,n$ being integers.

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