The tegum operator is a special case of the more general tegum product. Particularly, a tegum built from a polytope P is the same as the tegum product of P and a dyad.
Any orbiform CRF polytope with a circumradius of less than 1 has a CRF tegum in the next dimension. However, this tegum generally does not have a unique circumradius.
Any polytope whose facets are all congruent has a tegum with the same property.
The regular orthoplex of each dimension is the tegum of the orthoplex of the previous dimension.
The dual of a tegum is a prism based on the dual polytope.
Volume[edit | edit source]
The hypervolume of a tegum in n dimensions can be calculated with the formula:
- V = Ah / n,
where A is the hypervolume of the pyramid's base, and h is the pyramid’s height, the sum of the distances from its apices to its base’s hyperplane.