Acronym ...
Name Q3o3o4x,
variation of sidpith
Circumradius sqrt(7) = 2.645751
Coordinates (2, 1, 1, 1)   & all permutations, all changes of sign
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at Q-{3} between q-tet and (Q,x)-trip:   150°
  • at (x,Q)-{4} between (x,Q)-squip and (Q,x)-trip:   arccos[-sqrt(2/3)] = 144.735610°
  • at x-{4} between (x,Q)-squip and x-cube:   135°
Face vector 64, 192, 208, 80
Confer
uniform variant:
sidpith  
related isogonals:
x3o3o4q   q3o3o4x  

Incidence matrix according to Dynkin symbol

Q3o3o4x

. . . . | 64 |  3  3 |  3  6  3 |  1  3  3 1
--------+----+-------+----------+-----------
Q . . . |  2 | 96  * |  2  2  0 |  1  2  1 0  Q
. . . x |  2 |  * 96 |  0  2  2 |  0  1  2 1  x
--------+----+-------+----------+-----------
Q3o . . |  3 |  3  0 | 64  *  * |  1  1  0 0
Q . . x |  4 |  2  2 |  * 96  * |  0  1  1 0
. . o4x |  4 |  0  4 |  *  * 48 |  0  0  1 1
--------+----+-------+----------+-----------
Q3o3o . |  4 |  6  0 |  4  0  0 | 16  *  * *  Q-tet
Q3o . x |  6 |  6  3 |  2  3  0 |  * 32  * *  (Q,x)-trip
Q . o4x |  8 |  4  8 |  0  4  2 |  *  * 24 *  (x,Q)-squip
. o3o4x |  8 |  0 12 |  0  0  6 |  *  *  * 8  x-cube

© 2004-2024
top of page