The skeleton of the rhombic triacontahedron can be considered as a subgraph of the graph of the six-dimensional cube.
We demonstrate this relationship by showing a representation of the six-cube graph in three-dimensional space with the following properties: 32 of the 64 vertices, 60 of the 192 edges and 30 of the 240 faces of the six-cube are drawn as the vertices, edges and faces, respectively, of the rhombic triacontahedron.
The remaining vertices, edges and faces of the six-cube fall into the interior of the triacontahedron.
This representation can be realized at the cost of some distortions: the square faces of the six-cube are distorted to parallelograms (in particular, those appearing as faces of the triacontahedron will be rhombuses).
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