Acronym ragip
Name rectified-hexacontitetrapeton prism
Circumradius sqrt(5)/2 = 1.118034
Coordinates (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0; 1/2)   & all permutations in the first 6 coords, all changes of sign
Volume 29/45 = 0.644444
Dihedral angles
(at margins)

Incidence matrix according to Dynkin symbol

x o3x3o3o3o4o

. . . . . . . | 120 |  1  16 |  16   8   48 |   8  48  24   64 |  24  64  32  32 |  32  32  16  2 | 16  2 1
--------------+-----+--------+--------------+------------------+-----------------+----------------+--------
x . . . . . . |   2 | 60   *   16   0    0 |   8  48   0    0 |  24  64   0   0 |  32  32   0  0 | 16  2 0
. . x . . . . |   2 |  * 960 |   1   1    6 |   1   6   6   12 |   6  12  12   8 |  12   8   8  1 |  8  1 1
--------------+-----+--------+--------------+------------------+-----------------+----------------+--------
x . x . . . . |   4 |  2   2 | 480   *    * |   1   6   0    0 |   6  12   0   0 |  12   8   0  0 |  8  1 0
. o3x . . . . |   3 |  0   3 |   * 320    * |   1   0   6    0 |   6   0  12   0 |  12   0   8  0 |  8  0 1
. . x3o . . . |   3 |  0   3 |   *   * 1920 |   0   1   1    4 |   1   4   4   4 |   4   4   4  1 |  4  1 1
--------------+-----+--------+--------------+------------------+-----------------+----------------+--------
x o3x . . . .    6 |  3   6 |   3   2    0 | 160   *   *    *    6   0   0   0 |  12   0   0  0 |  8  0 0
x . x3o . . .    6 |  3   6 |   3   0    2 |   * 960   *    * |   1   4   0   0 |   4   4   0  0 |  4  1 0
. o3x3o . . .    6 |  0  12 |   0   4    4 |   *   * 480    * |   1   0   4   0 |   4   0   4  0 |  4  0 1
. . x3o3o . .    4 |  0   6 |   0   0    4 |   *   *   * 1920 |   0   1   1   2 |   1   2   2  1 |  2  1 1
--------------+-----+--------+--------------+------------------+-----------------+----------------+--------
x o3x3o . . .   12 |  6  24 |  12   8    8 |   4   4   2    0 | 240   *   *   * |   4   0   0  0 |  4  0 0
x . x3o3o . .    8 |  4  12 |   6   0    8 |   0   4   0    2 |   * 960   *   * |   1   2   0  0 |  2  1 0
. o3x3o3o . .   10 |  0  30 |   0  10   20 |   0   0   5    5 |   *   * 384   * |   1   0   2  0 |  2  0 1
. . x3o3o3o .    5 |  0  10 |   0   0   10 |   0   0   0    5 |   *   *   * 768 |   0   1   1  1 |  1  1 1
--------------+-----+--------+--------------+------------------+-----------------+----------------+--------
x o3x3o3o . .   20 | 10  60 |  30  20   40 |  10  20  10   10 |   5   5   2   0 | 192   *   *  * |  2  0 0
x . x3o3o3o .   10 |  5  20 |  10   0   20 |   0  10   0   10 |   0   5   0   2 |   * 384   *  * |  1  1 0
. o3x3o3o3o .   15 |  0  60 |   0  20   60 |   0   0  15   30 |   0   0   6   6 |   *   * 128  * |  1  0 1
. . x3o3o3o4o   10 |  0  40 |   0   0   80 |   0   0   0   80 |   0   0   0  32 |   *   *   * 24 |  0  1 1
--------------+-----+--------+--------------+------------------+-----------------+----------------+--------
x o3x3o3o3o .   30 | 15 120 |  60  40  120 |  20  60  30   60 |  15  30  12  12 |   6   6   2  0 | 64  * *
x . x3o3o3o4o   20 | 10  80 |  40   0  160 |   0  80   0  160 |   0  80   0  64 |   0  32   0  2 |  * 12 *
. o3x3o3o3o4o   60 |  0 480 |   0 160  960 |   0   0 240  960 |   0   0 192 384 |   0   0  64 12 |  *  * 2

x o3o3o *c3o3x3o

. . . .    . . . | 120 |  1  16 |  16   48   8 |  48   8   64  24 |  64  24  16  16  32 |  16  16  32  2  8  8 |  2  8  8 1
-----------------+-----+--------+--------------+------------------+---------------------+----------------------+-----------
x . . .    . . . |   2 | 60   *   16    0   0 |  48   8    0   0 |  64  24   0   0   0 |  16  16  32  0  0  0 |  2  8  8 0
. . . .    . x . |   2 |  * 960 |   1    6   1 |   6   1   12   6 |  12   6   4   4  12 |   4   4  12  1  4  4 |  1  4  4 1
-----------------+-----+--------+--------------+------------------+---------------------+----------------------+-----------
x . . .    . x . |   4 |  2   2 | 480    *   * |   6   1    0   0 |  12   6   0   0   0 |   4   4  12  0  0  0 |  1  4  4 0
. . . .    o3x . |   3 |  0   3 |   * 1920   * |   1   0    4   1 |   4   1   2   2   4 |   2   2   4  1  2  2 |  1  2  2 1
. . . .    . x3o |   3 |  0   3 |   *    * 320 |   0   1    0   6 |   0   6   0   0  12 |   0   0  12  0  4  4 |  0  4  4 1
-----------------+-----+--------+--------------+------------------+---------------------+----------------------+-----------
x . . .    o3x .    6 |  3   6 |   3    2   0 | 960   *    *   * |   4   1   0   0   0 |   2   2   4  0  0  0 |  1  2  2 0
x . . .    . x3o    6 |  3   6 |   3    0   2 |   * 160    *   *    0   6   0   0   0 |   0   0  12  0  0  0 |  0  4  4 0
. . o . *c3o3x .    4 |  0   6 |   0    4   0 |   *   * 1920   * |   1   0   1   1   1 |   1   1   1  1  1  1 |  1  1  1 1
. . . .    o3x3o    6 |  0  12 |   0    4   4 |   *   *    * 480 |   0   1   0   0   4 |   0   0   4  0  2  2 |  0  2  2 1
-----------------+-----+--------+--------------+------------------+---------------------+----------------------+-----------
x . o . *c3o3x .    8 |  4  12 |   6    8   0 |   4   0    2   0 | 960   *   *   *   * |   1   1   1  0  0  0 |  1  1  1 0
x . . .    o3x3o   12 |  6  24 |  12    8   8 |   4   4    0   2 |   * 240   *   *   * |   0   0   4  0  0  0 |  0  2  2 0
. o3o . *c3o3x .    5 |  0  10 |   0   10   0 |   0   0    5   0 |   *   * 384   *   * |   1   0   0  1  1  0 |  1  1  0 1
. . o3o *c3o3x .    5 |  0  10 |   0   10   0 |   0   0    5   0 |   *   *   * 384   * |   0   1   0  1  0  1 |  1  0  1 1
. . o . *c3o3x3o   10 |  0  30 |   0   20  10 |   0   0    5   5 |   *   *   *   * 384 |   0   0   1  0  1  1 |  0  1  1 1
-----------------+-----+--------+--------------+------------------+---------------------+----------------------+-----------
x o3o . *c3o3x .   10 |  5  20 |  10   20   0 |  10   0   10   0 |   5   0   2   0   0 | 192   *   *  *  *  * |  1  1  0 0
x . o3o *c3o3x .   10 |  5  20 |  10   20   0 |  10   0   10   0 |   5   0   0   2   0 |   * 192   *  *  *  * |  1  0  1 0
x . o . *c3o3x3o   20 | 10  60 |  30   40  20 |  20  10   10  10 |   5   5   0   0   2 |   *   * 192  *  *  * |  0  1  1 0
. o3o3o *c3o3x .   10 |  0  40 |   0   80   0 |   0   0   80   0 |   0   0  16  16   0 |   *   *   * 24  *  * |  1  0  0 1
. o3o . *c3o3x3o   15 |  0  60 |   0   60  20 |   0   0   30  15 |   0   0   6   0   6 |   *   *   *  * 64  * |  0  1  0 1
. . o3o *c3o3x3o   15 |  0  60 |   0   60  20 |   0   0   30  15 |   0   0   0   6   6 |   *   *   *  *  * 64 |  0  0  1 1
-----------------+-----+--------+--------------+------------------+---------------------+----------------------+-----------
x o3o3o *c3o3x .   20 | 10  80 |  40  160   0 |  80   0  160   0 |  80   0  32  32   0 |  16  16   0  2  0  0 | 12  *  * *
x o3o . *c3o3x3o   30 | 15 120 |  60  120  40 |  60  20   60  30 |  30  15  12   0  12 |   6   0   6  0  2  0 |  * 32  * *
x . o3o *c3o3x3o   30 | 15 120 |  60  120  40 |  60  20   60  30 |  30  15   0  12  12 |   0   6   6  0  0  2 |  *  * 32 *
. o3o3o *c3o3x3o   60 |  0 480 |   0  960 160 |   0   0  960 240 |   0   0 192 192 192 |   0   0   0 12 32 32 |  *  *  * 2

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