Talk:Kleetope

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Polyhedra

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unique?

Is the height of the pyramids part of the definition, or is (for example) a cube with very tall pyramids also a Kleetope? —Tamfang (talk) 18:40, 28 June 2024 (UTC)[reply]

I ask because of the use of "the Kleetope" of a given solid. —Tamfang (talk) 00:24, 27 August 2024 (UTC)[reply]

It's unique as a combinatorial structure. I don't think the definition says anything about the height.

Of course, if you really wanted uniqueness, you could always use the canonical polyhedron for 3d, but that might not work for higher dimensions. —David Eppstein (talk) 00:51, 27 August 2024 (UTC)[reply]

Now you've got me wondering whether 'canonical' has meaning in higher dimensions. In odd dimensions you take the middle-tier elements ... —Tamfang (talk) 18:30, 27 August 2024 (UTC)[reply]