Acronym oditico
Name octadiminished truncated icositetrachoron,
Waterman polychoron number 4 wrt. alternated tessic lattice D4 centered at a hole
Circumradius sqrt(7) = 2.645751 
        u4o x4q u4o        
                           
        d4o u4q d4o        
                           
u4o d4o             d4o u4o
                           
x4q u4q             u4q x4q
                           
u4o d4o             d4o u4o
                           
        d4o u4q d4o        
                           
        u4o x4q u4o
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
Face vector 128, 320, 240, 48
Confer
uniform relative:
tico  

This polychoron is derived from the truncated icositetrachoron by diminishing at the facet realms of an encasing tesseract.


Incidence matrix according to Dynkin symbol

oq3oo3qo4xu&#zx   → height = 0, where q pseudo

o.3o.3o.4o.     | 64  * |  1   3  0 |  3  3  0 |  1  3 0
.o3.o3.o4.o     |  * 64 |  0   3  3 |  3  3  3 |  1  3 1
----------------+-------+-----------+----------+--------
.. .. .. x.     |  2  0 | 32   *  * |  0  3  0 |  0  3 0  x
oo3oo3oo4oo&#x  |  1  1 |  * 192  * |  2  1  0 |  1  2 0  x
.. .. .. .u     |  0  2 |  *   * 96 |  0  1  2 |  0  2 1  u
----------------+-------+-----------+----------+--------
oq .. qo ..&#zx |  2  2 |  0   4  0 | 96  *  * |  1  1 0
.. .. .. xu&#x  |  2  2 |  1   2  1 |  * 96  * |  0  2 0
.. .. .o4.u     |  0  4 |  0   0  4 |  *  * 48 |  0  1 1
----------------+-------+-----------+----------+--------
oq3oo3qo ..&#zx |  4  4 |  0  12  0 |  6  0  0 | 16  * *  x-cube
oq .. qo4xu&#zx |  8  8 |  4  16  8 |  4  8  2 |  * 24 *  pabditoe
.. .o3.o4.u     |  0  8 |  0   0 12 |  0  0  6 |  *  * 8  u-cube

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