octahedron in A Sentence

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And it looks a little bit like the Octahedron.

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2

Its vertex figure contains 4 tetrahedra, 2 octahedra, and 2 snub cubes.

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3

If you lay it out flat on the floor, this is the Octahedron.

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4

You can draw three great circles around the Octahedron, and you rotate around, so actually three great circles is related to the Octahedron.

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5

And if I take a bicycle pump and just pump it up, you can see that this is also a little bit like the Octahedron.

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6

Kelvin himself(aka William Thomson) proposed as a solution to his own problem- filling the space with truncated octahedra- geometric bodies with 14 faces(8 regular hexagons and 6 squares).

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However, one positive outcome of building the enneacontahedron was that it showed that five octahedra could be connected to an icosahedron so that it would put neighboring icosahedra at the vertices of a regular pentagon.

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8

Returning to the picture above, if you're familiar with the regular Octahedron and icosahedron, it's not too hard to see that the 30-unit construction is an elevated icosahedron and the 12-unit construction is an elevated Octahedron.

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