Acronym sichado
Name small cubihexadecadisoctachoron
Cross sections
 ©
Circumradius sqrt[(7+3 sqrt(2))/2] = 2.370932
Coordinates ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army prit
Colonel of regiment prit
External
links
hedrondude   WikiChoron  

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


Incidence matrix according to Dynkin symbol

x3x3o4/3x4*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*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. . o4/3x    |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-------------+-----+------------+----------------+----------
x3x3o   .      12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x .   x4*b   48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x . o4/3x       8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3o4/3x4*b   24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8

x3x3/2o4x4*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*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. .   o4x    |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-------------+-----+------------+----------------+----------
x3x3/2o .      12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x   . x4*b   48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x .   o4x       8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3/2o4x4*b   24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8

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