I wonder whether there are convex non-uniform four-dimensional analogues of the deltahedron.
Any references to work on those (possible?) polychora?
Hodge8 wrote:Follow-up questions:
I am trying to visualize the tetrahedral dipyramid and the icosahedral dipyramid.
I guess the tetrahedral dipyramid is two pentachorons joined at a face; a possible 3-D projection envelope being a triangular bipyramid;
and the icosahedral dipyramid is either two 20x tetrahedra clusters joined at a face, or two 20x tetrahedra clusters joined at 20 faces (a possible 3-D projection envelope being an icosahedron).
I would be grateful for confirmation or otherwise.
quickfur wrote:I generally use "bipyramid" to mean tegum, and "pyramid pyramid" to mean the (n+1)-dimensional pyramid of an n-dimensional pyramid.
[...]
whereas pentagonal pyramid-pyramid = pyramid of pentagonal pyramid (which happens to be the same as the antiprism of a pentagonal pyramid).
lace city of (n-py)-py is:
o-n-o o-n-o
x-n-o
lace city of (n-ap)-(dipy = tegum) is:
x-n-o
o-n-o o-n-o
o-n-x
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