Partial additions to the regular Polytopes

Discussion of tapertopes, uniform polytopes, and other shapes with flat hypercells.

Partial additions to the regular Polytopes

Postby anderscolingustafson » Fri Feb 11, 2011 9:36 pm

I know that in 4d there are six regular polytopes with all of the cells the same and all of the cells regular solids. Are there any polytopes in 4d though with all the cells the same and all the corners the same but with all the cells as semi regular solids? If there are how many are there?
Last edited by anderscolingustafson on Sat Feb 12, 2011 1:04 pm, edited 1 time in total.
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Re: Partial additions to the regular Polytopes

Postby wendy » Sat Feb 12, 2011 7:02 am

an infinite number. In general, oPxQxPo satisfies this. Apart from the decachoron o3x3x3o, the octagonny o3x4x3o, there are an infinite number of bi-prisms.
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Re: Partial additions to the regular Polytopes

Postby quickfur » Fri May 13, 2011 4:00 am

Octagonny is one of my favorite polytopes. I dedicated a page on my website to it.
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