Create a wireframe model of a cube sharing some of the vertices of a regular dodecahedron. It's one of those things which are hard to believe until you see it, how the pentagon-ness of the dodecahedron can mesh with the square-ness of the cube. Inspired by a 3D printed regular dodecahedron.
Others: octahedron in icosahedron, tetrahedron in cube, tetrahedron in dodecahedron. Joining the midpoints of the edges of a tetrahedron forms an octahedron.
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