Acronym tetsrip
Name tetrahedron - small-rhombated-pentachoron duoprism
Circumradius sqrt(39/40) = 0.987421
Volume sqrt(71/40) = 1.332291
Face vector 120, 540, 980, 950, 534, 166, 24
Confer
general polytopal classes:
Wythoffian polyexa  

Incidence matrix according to Dynkin symbol

x3o3o x3o3x3o

. . . . . . . | 120 |   3   2   4 |   3   6  12  1   4  2  2 |  1   6  12  3  12   6   6  2  2  1 |  2  4  3  12  6  6  6  6  3 1 |  1  4  2  2  6  6  3 3 | 2  2 1 3
--------------+-----+-------------+--------------------------+------------------------------------+-------------------------------+------------------------+---------
x . . . . . . |   2 | 180   *   * |   2   2   4  0   0  0  0 |  1   4   8  1   4   2   2  0  0  0 |  2  4  2   8  4  4  2  2  1 0 |  1  4  2  2  4  4  2 1 | 2  2 1 2
. . . x . . . |   2 |   * 120   * |   0   3   0  1   2  0  0 |  0   3   0  3   6   0   0  2  1  0 |  1  0  3   6  0  0  6  3  0 1 |  1  2  0  0  6  3  0 3 | 2  1 0 3
. . . . . x . |   2 |   *   * 240 |   0   0   3  0   1  1  1 |  0   0   3  0   3   3   3  1  1  1 |  0  1  0   3  3  3  3  3  3 1 |  0  1  1  1  3  3  3 3 | 1  1 1 3
--------------+-----+-------------+--------------------------+------------------------------------+-------------------------------+------------------------+---------
x3o . . . . . |   3 |   3   0   0 | 120   *   *  *   *  *  * |  1   2   4  0   0   0   0  0  0  0 |  2  4  1   4  2  2  0  0  0 0 |  1  4  2  2  2  2  1 0 | 2  2 1 1
x . . x . . . |   4 |   2   2   0 |   * 180   *  *   *  *  * |  0   2   0  1   2   0   0  0  0  0 |  1  0  2   4  0  0  2  1  0 0 |  1  2  0  0  4  2  0 1 | 2  1 0 2
x . . . . x . |   4 |   2   0   2 |   *   * 360  *   *  *  * |  0   0   2  0   1   1   1  0  0  0 |  0  1  0   2  2  2  1  1  1 0 |  0  1  1  1  2  2  2 1 | 1  1 1 2
. . . x3o . . |   3 |   0   3   0 |   *   *   * 40   *  *  * |  0   0   0  3   0   0   0  2  0  0 |  0  0  3   0  0  0  6  0  0 1 |  1  0  0  0  6  0  0 3 | 2  0 0 3
. . . x . x . |   4 |   0   2   2 |   *   *   *  * 120  *  * |  0   0   0  0   3   0   0  1  1  0 |  0  0  0   3  0  0  3  3  0 1 |  0  1  0  0  3  3  0 3 | 1  1 0 3
. . . . o3x . |   3 |   0   0   3 |   *   *   *  *   * 80  * |  0   0   0  0   0   3   0  1  0  1 |  0  0  0   0  3  0  3  0  3 1 |  0  0  1  0  3  0  3 3 | 1  0 1 3
. . . . . x3o |   3 |   0   0   3 |   *   *   *  *   *  * 80 |  0   0   0  0   0   0   3  0  1  1 |  0  0  0   0  0  3  0  3  3 1 |  0  0  0  1  0  3  3 3 | 0  1 1 3
--------------+-----+-------------+--------------------------+------------------------------------+-------------------------------+------------------------+---------
x3o3o . . . .    4 |   6   0   0 |   4   0   0  0   0  0  0 | 30   *   *  *   *   *   *  *  *  * |  2  4  0   0  0  0  0  0  0 0 |  1  4  2  2  0  0  0 0 | 2  2 1 0
x3o . x . . .    6 |   6   3   0 |   2   3   0  0   0  0  0 |  * 120   *  *   *   *   *  *  *  * |  1  0  1   2  0  0  0  0  0 0 |  1  2  0  0  2  1  0 0 | 2  1 0 1
x3o . . . x .    6 |   6   0   3 |   2   0   3  0   0  0  0 |  *   * 240  *   *   *   *  *  *  * |  0  1  0   1  1  1  0  0  0 0 |  0  1  1  1  1  1  1 0 | 1  1 1 1
x . . x3o . .    6 |   3   6   0 |   0   3   0  2   0  0  0 |  *   *   * 60   *   *   *  *  *  * |  0  0  2   0  0  0  2  0  0 0 |  1  0  0  0  4  0  0 1 | 2  0 0 2
x . . x . x .    8 |   4   4   4 |   0   2   2  0   2  0  0 |  *   *   *  * 180   *   *  *  *  * |  0  0  0   2  0  0  1  1  0 0 |  0  1  0  0  2  2  0 1 | 1  1 0 2
x . . . o3x .    6 |   3   0   6 |   0   0   3  0   0  2  0 |  *   *   *  *   * 120   *  *  *  * |  0  0  0   0  2  0  1  0  1 0 |  0  0  1  0  2  0  2 1 | 1  0 1 2
x . . . . x3o    6 |   3   0   6 |   0   0   3  0   0  0  2 |  *   *   *  *   *   * 120  *  *  * |  0  0  0   0  0  2  0  1  1 0 |  0  0  0  1  0  2  2 1 | 0  1 1 2
. . . x3o3x .   12 |   0  12  12 |   0   0   0  4   6  4  0 |  *   *   *  *   *   *   * 20  *  * |  0  0  0   0  0  0  3  0  0 1 |  0  0  0  0  3  0  0 3 | 1  0 0 3
. . . x . x3o    6 |   0   3   6 |   0   0   0  0   3  0  2 |  *   *   *  *   *   *   *  * 40  * |  0  0  0   0  0  0  0  3  0 1 |  0  0  0  0  0  3  0 3 | 0  1 0 3
. . . . o3x3o    6 |   0   0  12 |   0   0   0  0   0  4  4 |  *   *   *  *   *   *   *  *  * 20 |  0  0  0   0  0  0  0  0  3 1 |  0  0  0  0  0  0  3 3 | 0  0 1 3
--------------+-----+-------------+--------------------------+------------------------------------+-------------------------------+------------------------+---------
x3o3o x . . .    8 |  12   4   0 |   8   6   0  0   0  0  0 |  2   4   0  0   0   0   0  0  0  0 | 30  *  *   *  *  *  *  *  * * |  1  2  0  0  0  0  0 0 | 2  1 0 0
x3o3o . . x .    8 |  12   0   4 |   8   0   6  0   0  0  0 |  2   0   4  0   0   0   0  0  0  0 |  * 60  *   *  *  *  *  *  * * |  0  1  1  1  0  0  0 0 | 1  1 1 0
x3o . x3o . .    9 |   9   9   0 |   3   9   0  3   0  0  0 |  0   3   0  3   0   0   0  0  0  0 |  *  * 40   *  *  *  *  *  * * |  1  0  0  0  2  0  0 0 | 2  0 0 1
x3o . x . x .   12 |  12   6   6 |   4   6   6  0   3  0  0 |  0   2   2  0   3   0   0  0  0  0 |  *  *  * 120  *  *  *  *  * * |  0  1  0  0  1  1  0 0 | 1  1 0 1
x3o . . o3x .    9 |   9   0   9 |   3   0   9  0   0  3  0 |  0   0   3  0   0   3   0  0  0  0 |  *  *  *   * 80  *  *  *  * * |  0  0  1  0  1  0  1 0 | 1  0 1 1
x3o . . . x3o    9 |   9   0   9 |   3   0   9  0   0  0  3 |  0   0   3  0   0   0   3  0  0  0 |  *  *  *   *  * 80  *  *  * * |  0  0  0  1  0  1  1 0 | 0  1 1 1
x . . x3o3x .   24 |  12  24  24 |   0  12  12  8  12  8  0 |  0   0   0  4   6   4   0  2  0  0 |  *  *  *   *  *  * 30  *  * * |  0  0  0  0  2  0  0 1 | 1  0 0 2
x . . x . x3o   12 |   6   6  12 |   0   3   6  0   6  0  4 |  0   0   0  0   3   0   2  0  2  0 |  *  *  *   *  *  *  * 60  * * |  0  0  0  0  0  2  0 1 | 0  1 0 2
x . . . o3x3o   12 |   6   0  24 |   0   0  12  0   0  8  8 |  0   0   0  0   0   4   4  0  0  2 |  *  *  *   *  *  *  *  * 30 * |  0  0  0  0  0  0  2 1 | 0  0 1 2
. . . x3o3x3o   30 |   0  30  60 |   0   0   0 10  30 20 20 |  0   0   0  0   0   0   0  5 10  5 |  *  *  *   *  *  *  *  *  * 4 |  0  0  0  0  0  0  0 3 | 0  0 0 3
--------------+-----+-------------+--------------------------+------------------------------------+-------------------------------+------------------------+---------
x3o3o x3o . .   12 |  18  12   0 |  12  18   0  4   0  0  0 |  3  12   0  6   0   0   0  0  0  0 |  3  0  4   0  0  0  0  0  0 0 | 10  *  *  *  *  *  * * | 2  0 0 0
x3o3o x . x .   16 |  24   8   8 |  16  12  12  0   4  0  0 |  4   8   8  0   6   0   0  0  0  0 |  2  2  0   4  0  0  0  0  0 0 |  * 30  *  *  *  *  * * | 1  1 0 0
x3o3o . o3x .   12 |  18   0  12 |  12   0  18  0   0  4  0 |  3   0  12  0   0   6   0  0  0  0 |  0  3  0   0  4  0  0  0  0 0 |  *  * 20  *  *  *  * * | 1  0 1 0
x3o3o . . x3o   12 |  18   0  12 |  12   0  18  0   0  0  4 |  3   0  12  0   0   0   6  0  0  0 |  0  3  0   0  0  4  0  0  0 0 |  *  *  * 20  *  *  * * | 0  1 1 0
x3o . x3o3x .   36 |  36  36  36 |  12  36  36 12  18 12  0 |  0  12  12 12  18  12   0  3  0  0 |  0  0  4   6  4  0  3  0  0 0 |  *  *  *  * 20  *  * * | 1  0 0 1
x3o . x . x3o   18 |  18   9  18 |   6   9  18  0   9  0  6 |  0   3   6  0   9   0   6  0  3  0 |  0  0  0   3  0  2  0  3  0 0 |  *  *  *  *  * 40  * * | 0  1 0 1
x3o . . o3x3o   18 |  18   0  36 |   6   0  36  0   0 12 12 |  0   0  12  0   0  12  12  0  0  3 |  0  0  0   0  4  4  0  0  3 0 |  *  *  *  *  *  * 20 * | 0  0 1 1
x . . x3o3x3o   60 |  30  60 120 |   0  30  60 20  60 40 40 |  0   0   0 10  30  20  20 10 20 10 |  0  0  0   0  0  0  5 10  5 2 |  *  *  *  *  *  *  * 6 | 0  0 0 2
--------------+-----+-------------+--------------------------+------------------------------------+-------------------------------+------------------------+---------
x3o3o x3o3x .   48 |  72  48  48 |  48  72  72 16  24 16  0 | 12  48  48 24  36  24   0  4  0  0 | 12 12 16  24 16  0  6  0  0 0 |  4  6  4  0  4  0  0 0 | 5  * * *
x3o3o x . x3o   24 |  36  12  24 |  24  18  36  0  12  0  8 |  6  12  24  0  18   0  12  0  4  0 |  3  6  0  12  0  8  0  6  0 0 |  0  3  0  2  0  4  0 0 | * 10 * *
x3o3o . o3x3o   24 |  36   0  48 |  24   0  72  0   0 16 16 |  6   0  48  0   0  24  24  0  0  4 |  0 12  0   0 16 16  0  0  6 0 |  0  0  4  4  0  0  4 0 | *  * 5 *
x3o . x3o3x3o   90 |  90  90 180 |  30  90 180 30  90 60 60 |  0  30  60 30  90  60  60 15 30 15 |  0  0 10  30 20 20 15 30 15 3 |  0  0  0  0  5 10  5 3 | *  * * 4

© 2004-2024
top of page