First stellation of rhombic dodecahedron

The stellation of the rhombic dodecahedron

In geometry, the first stellation of the rhombic dodecahedron is a stellation of the rhombic dodecahedron. This polyhedron is sometimes called Escher's solid; it appears in M. C. Escher's works Waterfall and in a study for Stars (although Stars itself features a different shape, the compound of three octahedra). It can tessellate space in the stellated rhombic dodecahedral honeycomb.

It is topologically identical to the disdyakis dodecahedron, a Catalan solid.

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