Acronym gichado
Name great cubihexadecadisoctachoron
Cross sections
 ©
Circumradius sqrt[(7-3 sqrt(2))/2] = 1.174172
Coordinates ((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: cube gocco groh hip querco quitco tut
gichado 248000816
paqrit 2400328016
girpdo 00832080
)
External
links
hedrondude   WikiChoron  

As abstract polytope gichado is isomorphic to sichado, thereby replacing octagrams by octagons, resp. replacing the quitco by girco and gocco by socco.


Incidence matrix according to Dynkin symbol

x3x3o4x4/3*b

. . . .      | 192 |  1   2   2 |  2  2  1  2  1 |  1 2  2 1
-------------+-----+------------+----------------+----------
x . . .      |   2 | 96   *   * |  2  2  0  0  0 |  1 2  1 0
. x . .      |   2 |  * 192   * |  1  0  1  1  0 |  1 1  0 1
. . . x      |   2 |  *   * 192 |  0  1  0  1  1 |  0 1  1 1
-------------+-----+------------+----------------+----------
x3x . .      |   6 |  3   3   0 | 64  *  *  *  * |  1 1  0 0
x . . x      |   4 |  2   0   2 |  * 96  *  *  * |  0 1  1 0
. x3o .      |   3 |  0   3   0 |  *  * 64  *  * |  1 0  0 1
. x . x4/3*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. . o4x      |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-------------+-----+------------+----------------+----------
x3x3o .        12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x . x4/3*b   48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x . o4x         8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3o4x4/3*b   24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8

x3x3/2o4/3x4/3*b

. .   .   .      | 192 |  1   2   2 |  2  2  1  2  1 |  1 2  2 1
-----------------+-----+------------+----------------+----------
x .   .   .      |   2 | 96   *   * |  2  2  0  0  0 |  1 2  1 0
. x   .   .      |   2 |  * 192   * |  1  0  1  1  0 |  1 1  0 1
. .   .   x      |   2 |  *   * 192 |  0  1  0  1  1 |  0 1  1 1
-----------------+-----+------------+----------------+----------
x3x   .   .      |   6 |  3   3   0 | 64  *  *  *  * |  1 1  0 0
x .   .   x      |   4 |  2   0   2 |  * 96  *  *  * |  0 1  1 0
. x3/2o   .      |   3 |  0   3   0 |  *  * 64  *  * |  1 0  0 1
. x   .   x4/3*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. .   o4/3x      |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-----------------+-----+------------+----------------+----------
x3x3/2o   .        12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x   .   x4/3*b   48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x .   o4/3x         8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3/2o4/3x4/3*b   24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8

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