Acronym trarit
Name triangle - rectified-tesseract duoprism
Circumradius sqrt(11/6) = 1.354006
Volume 23 sqrt(3)/24 = 1.659882
Face vector 96, 384, 584, 432, 163, 27
Confer
more general:
n,rit-dip  
general polytopal classes:
Wythoffian polypeta  

Incidence matrix according to Dynkin symbol

x3o o3o3x4o

. . . . . . | 96 |  2   6 |  1  12   6  3 |  6  12  6  2  3 |  6  3  4  6 1 |  2 3 2
------------+----+--------+---------------+-----------------+---------------+-------
x . . . . . |  2 | 96   * |  1   6   0  0 |  6   6  3  0  0 |  6  3  2  3 0 |  2 3 1
. . . . x . |  2 |  * 288 |  0   2   2  1 |  1   4  2  1  2 |  2  1  2  4 1 |  1 2 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o . . . . |  3 |  3   0 | 32   *   *  *   6   0  0  0  0 |  6  3  0  0 0 |  2 3 0
x . . . x . |  4 |  2   2 |  * 288   *  * |  1   2  1  0  0 |  2  1  1  2 0 |  1 2 1
. . . o3x . |  3 |  0   3 |  *   * 192  * |  0   2  0  1  1 |  1  0  2  2 1 |  1 1 2
. . . . x4o |  4 |  0   4 |  *   *   * 72 |  0   0  2  0  2 |  0  1  0  4 1 |  0 2 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o . . x .   6 |  6   3 |  2   3   0  0 | 96   *  *  *  * |  2  1  0  0 0 |  1 2 0
x . . o3x .   6 |  3   6 |  0   3   2  0 |  * 192  *  *  * |  1  0  1  1 0 |  1 1 1
x . . . x4o   8 |  4   8 |  0   4   0  2 |  *   * 72  *  * |  0  1  0  2 0 |  0 2 1
. . o3o3x .   4 |  0   6 |  0   0   4  0 |  *   *  * 48  * |  0  0  2  0 1 |  1 0 2
. . . o3x4o  12 |  0  24 |  0   0   8  6 |  *   *  *  * 24 |  0  0  0  2 1 |  0 1 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o . o3x .   9 |  9   9 |  3   9   3  0 |  3   3  0  0  0 | 64  *  *  * * |  1 1 0
x3o . . x4o  12 | 12  12 |  4  12   0  3 |  4   0  3  0  0 |  * 24  *  * * |  0 2 0
x . o3o3x .   8 |  4  12 |  0   6   8  0 |  0   4  0  2  0 |  *  * 48  * * |  1 0 1
x . . o3x4o  24 | 12  48 |  0  24  16 12 |  0   8  6  0  2 |  *  *  * 24 * |  0 1 1
. . o3o3x4o  32 |  0  96 |  0   0  64 24 |  0   0  0 16  8 |  *  *  *  * 3 |  0 0 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o o3o3x .  12 | 12  18 |  4  18  12  0 |  6  12  0  3  0 |  4  0  3  0 0 | 16 * *
x3o . o3x4o  36 | 36  72 | 12  72  24 18 | 24  24 18  0  3 |  8  6  0  3 0 |  * 8 *
x . o3o3x4o  64 | 32 192 |  0  96 128 48 |  0  64 24 32 16 |  0  0 16  8 2 |  * * 3

x3o x3o3x *d3o

. . . . .    . | 96 |  2   3   3 |  1   6   6  3  3  3 |  3  3  6  6  6  3  1  1 |  3  3  3  6  2  2 1 | 3 1 1 2
---------------+----+------------+---------------------+-------------------------+---------------------+--------
x . . . .    . |  2 | 96   *   * |  1   3   3  0  0  0 |  3  3  3  3  3  0  0  0 |  3  3  3  3  1  1 0 | 3 1 1 1
. . x . .    . |  2 |  * 144   * |  0   2   0  2  1  0 |  1  0  4  2  0  2  1  0 |  2  1  0  4  2  0 1 | 2 1 0 2
. . . . x    . |  2 |  *   * 144 |  0   0   2  0  1  2 |  0  1  0  2  4  2  0  1 |  0  1  2  4  0  2 1 | 2 0 1 2
---------------+----+------------+---------------------+-------------------------+---------------------+--------
x3o . . .    . |  3 |  3   0   0 | 32   *   *  *  *  *   3  3  0  0  0  0  0  0 |  3  3  3  0  0  0 0 | 3 1 1 0
x . x . .    . |  4 |  2   2   0 |  * 144   *  *  *  * |  1  0  2  1  0  0  0  0 |  2  1  0  2  1  0 0 | 2 1 0 1
x . . . x    . |  4 |  2   0   2 |  *   * 144  *  *  * |  0  1  0  1  2  0  0  0 |  0  1  2  2  0  1 0 | 2 0 1 1
. . x3o .    . |  3 |  0   3   0 |  *   *   * 96  *  * |  0  0  2  0  0  1  1  0 |  1  0  0  2  2  0 1 | 1 1 0 2
. . x . x    . |  4 |  0   2   2 |  *   *   *  * 72  * |  0  0  0  2  0  2  0  0 |  0  1  0  4  0  0 1 | 2 0 0 2
. . . o3x    . |  3 |  0   0   3 |  *   *   *  *  * 96 |  0  0  0  0  2  1  0  1 |  0  0  1  2  0  2 1 | 1 0 1 2
---------------+----+------------+---------------------+-------------------------+---------------------+--------
x3o x . .    .   6 |  6   3   0 |  2   3   0  0  0  0 | 48  *  *  *  *  *  *  * |  2  1  0  0  0  0 0 | 2 1 0 0
x3o . . x    .   6 |  6   0   3 |  2   0   3  0  0  0 |  * 48  *  *  *  *  *  * |  0  1  2  0  0  0 0 | 2 0 1 0
x . x3o .    .   6 |  3   6   0 |  0   3   0  2  0  0 |  *  * 96  *  *  *  *  * |  1  0  0  1  1  0 0 | 1 1 0 1
x . x . x    .   8 |  4   4   4 |  0   2   2  0  2  0 |  *  *  * 72  *  *  *  * |  0  1  0  2  0  0 0 | 2 0 0 1
x . . o3x    .   6 |  3   0   6 |  0   0   3  0  0  2 |  *  *  *  * 96  *  *  * |  0  0  1  1  0  1 0 | 1 0 1 1
. . x3o3x    .  12 |  0  12  12 |  0   0   0  4  6  4 |  *  *  *  *  * 24  *  * |  0  0  0  2  0  0 1 | 1 0 0 2
. . x3o . *d3o   4 |  0   6   0 |  0   0   0  4  0  0 |  *  *  *  *  *  * 24  * |  0  0  0  0  2  0 1 | 0 1 0 2
. . . o3x *d3o   4 |  0   0   6 |  0   0   0  0  0  4 |  *  *  *  *  *  *  * 24 |  0  0  0  0  0  2 1 | 0 0 1 2
---------------+----+------------+---------------------+-------------------------+---------------------+--------
x3o x3o .    .   9 |  9   9   0 |  3   9   0  3  0  0 |  3  0  3  0  0  0  0  0 | 32  *  *  *  *  * * | 1 1 0 0
x3o x . x    .  12 | 12   6   6 |  4   6   6  0  3  0 |  2  2  0  3  0  0  0  0 |  * 24  *  *  *  * * | 2 0 0 0
x3o . o3x    .   9 |  9   0   9 |  3   0   9  0  0  3 |  0  3  0  0  3  0  0  0 |  *  * 32  *  *  * * | 1 0 1 0
x . x3o3x    .  24 | 12  24  24 |  0  12  12  8 12  8 |  0  0  4  6  4  2  0  0 |  *  *  * 24  *  * * | 1 0 0 1
x . x3o . *d3o   8 |  4  12   0 |  0   6   0  8  0  0 |  0  0  4  0  0  0  2  0 |  *  *  *  * 24  * * | 0 1 0 1
x . . o3x *d3o   8 |  4   0  12 |  0   0   6  0  0  8 |  0  0  0  0  4  0  0  2 |  *  *  *  *  * 24 * | 0 0 1 1
. . x3o3x *d3o  32 |  0  48  48 |  0   0   0 32 24 32 |  0  0  0  0  0  8  8  8 |  *  *  *  *  *  * 3 | 0 0 0 2
---------------+----+------------+---------------------+-------------------------+---------------------+--------
x3o x3o3x    .  36 | 36  36  36 | 12  36  36 12 18 12 | 12 12 12 18 12  3  0  0 |  4  6  4  3  0  0 0 | 8 * * *
x3o x3o . *d3o  12 | 12  18   0 |  4  18   0 12  0  0 |  6  0 12  0  0  0  3  0 |  4  0  0  0  3  0 0 | * 8 * *
x3o . o3x *d3o  12 | 12   0  18 |  4   0  18  0  0 12 |  0  6  0  0 12  0  0  3 |  0  0  4  0  0  3 0 | * * 8 *
x . x3o3x *d3o  64 | 32  96  96 |  0  48  48 64 48 64 |  0  0 32 24 32 16 16 16 |  0  0  0  8  8  8 2 | * * * 3

© 2004-2024
top of page