[Math] the name of this 3D shape with 12 outer vertices

3dgeometrysolid-geometryterminology

Faces: 48

Outside vertices: 12

Other vertices: 14 (I believe)
Object

Best Answer

The object is the first stellation of the rhombic dodecahedron. This is sometimes known as Escher's solid, for its use in a study for his Stars, though the final picture uses a compound of three regular octahedra rather than the squashed ones of this question's solid.

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