Acronym hocoaso
Name hollow cuboctahedron atop stella octangula,
tetrahedral cupolaic blend
 
 ©
Circumradius 1
Face vector 20, 60, 64, 23
Confer
related CRFs:
tetaco  
general polytopal classes:
cupolaic blends  

In April 2023 "Username5243" came up with this axial blend of 2 mutually gyrated copies of tetaco, then blending out the common co, whereby the 2 mutually gyrated tets of the other base would combine into according the compound of 2 (so – light blue in the above pic). It thus happens to be a 4D example for the similarily constructed cupolaic blends.

It shall be pointed out, that the originally along tetrahedral edges oriented lacing trips therein (those used as wedges or digonal cupolae) would now come in mutally gyrated corealmic pairs. Therefore those in turn would blend into Philips heads (tutrips – red in the above pic) each. That is, the holowness, by first glance only related to one of its bases, here in fact creeps down on the "incident" lacing facets a bit too!


Incidence matrix

pseudo co || so   → height = sqrt(5/8) = 0.790569

12 * |  4  2  0 | 2  4  4 0 | 2 2 2 0
 * 8   0  3  3 | 0  3  6 3 | 3 1 3 1
-----+----------+-----------+--------
 2 0 | 24  *  * | 1  1  1 0 | 1 1 1 0
 1 1 |  * 24  * | 0  2  2 0 | 2 1 1 0
 0 2 |  *  * 12 | 0  0  2 2 | 1 0 2 1
-----+----------+-----------+--------
 3 0 |  3  0  0 | 8  *  * * | 0 1 1 0
 2 1 |  1  2  0 | * 24  * * | 1 1 0 0
 2 2 |  1  2  1 | *  * 24 * | 1 0 1 0
 0 3 |  0  0  3 | *  *  * 8 | 0 0 1 1
-----+----------+-----------+--------
 4 4 |  4  8  2 | 0  4  4 0 | 6 * * *  tutrip
 3 1 |  3  3  0 | 1  3  0 0 | * 8 * *  tet
 3 3 |  3  3  3 | 1  0  3 1 | * * 8 *  trip
 0 8 |  0  0 12 | 0  0  0 8 | * * * 1  so

© 2004-2024
top of page