- The symmetry order of an omnitruncation is equal to the number of its vertices, but can be doubled to 725760 due to the forwards/backwards symmetry of rings of its Coxeter diagram.
- Sorry, english is only my second language (first being gibberish!) Here's what you wrote for the 5-cell. Tom Ruen (talk) 04:46, 12 June 2011 (UTC)
- The three forms marked with an asterisk,*, have the higher extended pentachoric symmetry, of order 240, [[3,3,3]] because the element corresponding to any element of the underlying 5-cell can be exchanged with one of those corresponding to an element of its dual.
- The symmetry order of a family of polytopes is equal to the number of vertices of the omnitruncation; but when the CD symbol is palindromic, the symmetry order is doubled, because ...
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