Acronym ...
Name Shephard's 4-generalised cuboctahedron,
complex polyhedron o4-4-x2-3-o2
 
 ©
Vertex figure x4   x2
Coordinates (in, im, 0)   & all permutations, each for any 1≤n,m≤4
Face vector 48, 192, 76
Confer
more general:
op-4-x2-3-o2  
general polytopal classes:
complex polytopes  
External
links
wikipedia  

Applying rectification onto either of x4-4-o2-3-o2 or x2-3-o2-4-o4 in the respectively other direction each, re-uses the former edge counts for new vertex count, and uses the duals of the faces each (somewhere further out) as the two face types in here. Alternatively those additional face types could be obtained as the respective vertex figures of the pre-images each. Edges themselves in here are 2-fold, as can be read from the symbol directly, i.e. are down to real ones again.


Incidence matrix according to Dynkin symbol

o4-4-x2-3-o2

.    .    .  | 48    8 |  2  4
-------------+----+-----+------
.    x2   .  |  2 | 192 |  1  1
-------------+----+-----+------
o4-4-x2   .    8 |  16 | 12  *
.    x2-3-o2 |  3 |   3 |  * 64

© 2004-2024
top of page