Hexakis Octahedron
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A disdyakis dodecahedron, or hexakis octahedron, is a Catalan solid and the dual to the Archimedean truncated cuboctahedron. As such it is face-transitive but with irregular face polygons. It looks a bit like an inflated rhombic dodecahedron — if one replaces each face of the rhombic dodecahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis dodecahedron.
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CrystalsSource
Encyclopaedia Britannica (11th ed., vol. 8) (New York, NY: The Encyclopaedia Britannica Company, 1910)
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