Acronym skiviphado
Name small skewverted prismatohexadecadisoctachoron
Cross sections
 ©
Circumradius sqrt(2) = 1.414214
Coordinates ((1+sqrt(2))/2, 1/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: co cotco gocco hip oho op querco sirco socco stop
skiviphado 160800008024
gikviphado 160000248080
kavahto 08801600080
kaviphdit 000321608800
& others)
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope skiviphado is isomorphic to gikviphado, thereby replacing octagrams by octagons, resp. replacing the sirco by querco, gocco by socco, and stop by op.


Incidence matrix according to Dynkin symbol

x3o3x4/3x4*b

. . .   .    | 192 |   2   2   2 |  1  2  2  1  1  2 |  1 1  2 1
-------------+-----+-------------+-------------------+----------
x . .   .    |   2 | 192   *   * |  1  1  1  0  0  0 |  1 1  1 0
. . x   .    |   2 |   * 192   * |  0  1  0  1  0  1 |  1 0  1 1
. . .   x    |   2 |   *   * 192 |  0  0  1  0  1  1 |  0 1  1 1
-------------+-----+-------------+-------------------+----------
x3o .   .    |   3 |   3   0   0 | 64  *  *  *  *  * |  1 1  0 0
x . x   .    |   4 |   2   2   0 |  * 96  *  *  *  * |  1 0  1 0
x . .   x    |   4 |   2   0   2 |  *  * 96  *  *  * |  0 1  1 0
. o3x   .    |   3 |   0   3   0 |  *  *  * 64  *  * |  1 0  0 1
. o .   x4*b |   4 |   0   0   4 |  *  *  *  * 48  * |  0 1  0 1
. . x4/3x    |   8 |   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
-------------+-----+-------------+-------------------+----------
x3o3x   .      12 |  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3o .   x4*b   24 |  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x . x4/3x      16 |   8   8   8 |  0  4  4  0  0  2 |  * * 24 *
. o3x4/3x4*b   24 |   0  24  24 |  0  0  0  8  6  6 |  * *  * 8

x3/2o3/2x4/3x4/3*b

.   .   .   .      | 192 |   2   2   2 |  1  2  2  1  1  2 |  1 1  2 1
-------------------+-----+-------------+-------------------+----------
x   .   .   .      |   2 | 192   *   * |  1  1  1  0  0  0 |  1 1  1 0
.   .   x   .      |   2 |   * 192   * |  0  1  0  1  0  1 |  1 0  1 1
.   .   .   x      |   2 |   *   * 192 |  0  0  1  0  1  1 |  0 1  1 1
-------------------+-----+-------------+-------------------+----------
x3/2o   .   .      |   3 |   3   0   0 | 64  *  *  *  *  * |  1 1  0 0
x   .   x   .      |   4 |   2   2   0 |  * 96  *  *  *  * |  1 0  1 0
x   .   .   x      |   4 |   2   0   2 |  *  * 96  *  *  * |  0 1  1 0
.   o3/2x   .      |   3 |   0   3   0 |  *  *  * 64  *  * |  1 0  0 1
.   o   .   x4/3*b |   4 |   0   0   4 |  *  *  *  * 48  * |  0 1  0 1
.   .   x4/3x      |   8 |   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
-------------------+-----+-------------+-------------------+----------
x3/2o3/2x   .        12 |  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3/2o   .   x4/3*b   24 |  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x   .   x4/3x        16 |   8   8   8 |  0  4  4  0  0  2 |  * * 24 *
.   o3/2x4/3x4/3*b   24 |   0  24  24 |  0  0  0  8  6  6 |  * *  * 8

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