Acronym tettac
Name tetrahedron-triacontiditeron duoprism,
vertex figure of tarv
Circumradius sqrt(7/8) = 0.935414

Incidence matrix according to Dynkin symbol

x3o3o x3o3o3o4o

. . . . . . . . | 40 |  3   8 |  3  24  24 |  1  24  72  32 |  8  72  96  16 | 24  96  48 1 | 32  48 3 | 16 3
----------------+----+--------+------------+----------------+----------------+--------------+----------+-----
x . . . . . . . |  2 | 60   * |  2   8   0 |  1  16  24   0 |  8  48  32   0 | 24  64  16 0 | 32  32 1 | 16 2
. . . x . . . . |  2 |  * 160 |  0   3   6 |  0   3  18  12 |  1  18  36   8 |  6  36  24 1 | 12  24 3 |  8 3
----------------+----+--------+------------+----------------+----------------+--------------+----------+-----
x3o . . . . . . |  3 |  3   0 | 40   *   * |  1   8   0   0 |  8  24   0   0 | 24  32   0 0 | 32  16 0 | 16 1
x . . x . . . . |  4 |  2   2 |  * 240   * |  0   2   6   0 |  1  12  12   0 |  6  24   8 0 |  8  16 1 |  8 2
. . . x3o . . . |  3 |  0   3 |  *   * 320 |  0   0   3   4 |  0   3  12   4 |  1  12  12 1 |  4  12 3 |  4 3
----------------+----+--------+------------+----------------+----------------+--------------+----------+-----
x3o3o . . . . .   4 |  6   0 |  4   0   0 | 10   *   *   *   8   0   0   0 | 24   0   0 0 | 32   0 0 | 16 0
x3o . x . . . .   6 |  6   3 |  2   3   0 |  * 160   *   * |  1   6   0   0 |  6  12   0 0 | 12   8 0 |  8 1
x . . x3o . . .   6 |  3   6 |  0   3   2 |  *   * 480   * |  0   2   4   0 |  1   8   4 0 |  4   8 1 |  4 2
. . . x3o3o . .   4 |  0   6 |  0   0   4 |  *   *   * 320 |  0   0   3   2 |  0   3   6 1 |  1   6 3 |  2 3
----------------+----+--------+------------+----------------+----------------+--------------+----------+-----
x3o3o x . . . .   8 | 12   4 |  8   6   0 |  2   4   0   0 | 40   *   *   *   6   0   0 0 | 12   0 0 |  8 0
x3o . x3o . . .   9 |  9   9 |  3   9   3 |  0   3   3   0 |  * 320   *   * |  1   4   0 0 |  4   4 0 |  4 1
x . . x3o3o . .   8 |  4  12 |  0   6   8 |  0   0   4   2 |  *   * 480   * |  0   2   2 0 |  1   4 1 |  2 2
. . . x3o3o3o .   5 |  0  10 |  0   0  10 |  0   0   0   5 |  *   *   * 128 |  0   0   3 1 |  0   3 3 |  1 3
----------------+----+--------+------------+----------------+----------------+--------------+----------+-----
x3o3o x3o . . .  12 | 18  12 | 12  18   4 |  3  12   6   0 |  3   4   0   0 | 80   *   * * |  4   0 0 |  4 0
x3o . x3o3o . .  12 | 12  18 |  4  18  12 |  0   6  12   3 |  0   4   3   0 |  * 320   * * |  1   2 0 |  2 1
x . . x3o3o3o .  10 |  5  20 |  0  10  20 |  0   0  10  10 |  0   0   5   2 |  *   * 192 * |  0   2 1 |  1 2
. . . x3o3o3o4o  10 |  0  40 |  0   0  80 |  0   0   0  80 |  0   0   0  32 |  *   *   * 4 |  0   0 3 |  0 3
----------------+----+--------+------------+----------------+----------------+--------------+----------+-----
x3o3o x3o3o . .  16 | 24  24 | 16  24  16 |  4  24  24   4 |  6  16   6   0 |  4   4   0 0 | 80   * * |  2 0
x3o . x3o3o3o .  15 | 15  30 |  5  30  30 |  0  10  30  15 |  0  10  15   3 |  0   5   3 0 |  * 128 * |  1 1
x . . x3o3o3o4o  20 | 10  80 |  0  40 160 |  0   0  80 160 |  0   0  80  64 |  0   0  32 2 |  *   * 6 |  0 2
----------------+----+--------+------------+----------------+----------------+--------------+----------+-----
x3o3o x3o3o3o .  20 | 30  40 | 20  60  40 |  5  40  60  20 | 10  40  30   4 | 10  20   6 0 |  5   4 0 | 32 *
x3o . x3o3o3o4o  30 | 30 120 | 10 120 240 |  0  40 240 240 |  0  80 240  96 |  0  80  96 3 |  0  32 3 |  * 4

x3o3o o3o3o *e3o3x

. . . . . .    . . | 40 |  3   8 |  3  24  24 |  1  24  72  32 |  8  72  96  8  8 | 24  96 24 24 1 | 32 24 24 3 |  8  8 3
-------------------+----+--------+------------+----------------+------------------+----------------+------------+--------
x . . . . .    . . |  2 | 60   * |  2   8   0 |  1  16  24   0 |  8  48  32  0  0 | 24  64  8  8 0 | 32 16 16 1 |  8  8 2
. . . . . .    . x |  2 |  * 160 |  0   3   6 |  0   3  18  12 |  1  18  36  4  4 |  6  36 12 12 1 | 12 12 12 3 |  4  4 3
-------------------+----+--------+------------+----------------+------------------+----------------+------------+--------
x3o . . . .    . . |  3 |  3   0 | 40   *   * |  1   8   0   0 |  8  24   0  0  0 | 24  32  0  0 0 | 32  8  8 0 |  8  8 1
x . . . . .    . x |  4 |  2   2 |  * 240   * |  0   2   6   0 |  1  12  12  0  0 |  6  24  4  4 0 |  8  8  8 1 |  4  4 2
. . . . . .    o3x |  3 |  0   3 |  *   * 320 |  0   0   3   4 |  0   3  12  2  2 |  1  12  6  6 1 |  4  6  6 3 |  2  2 3
-------------------+----+--------+------------+----------------+------------------+----------------+------------+--------
x3o3o . . .    . .   4 |  6   0 |  4   0   0 | 10   *   *   *   8   0   0  0  0 | 24   0  0  0 0 | 32  0  0 0 |  8  8 0
x3o . . . .    . x   6 |  6   3 |  2   3   0 |  * 160   *   * |  1   6   0  0  0 |  6  12  0  0 0 | 12  4  4 0 |  4  4 1
x . . . . .    o3x   6 |  3   6 |  0   3   2 |  *   * 480   * |  0   2   4  0  0 |  1   8  2  2 0 |  4  4  4 1 |  2  2 2
. . . . o . *e3o3x   4 |  0   6 |  0   0   4 |  *   *   * 320 |  0   0   3  1  1 |  0   3  3  3 1 |  1  3  3 3 |  1  1 3
-------------------+----+--------+------------+----------------+------------------+----------------+------------+--------
x3o3o . . .    . x   8 | 12   4 |  8   6   0 |  2   4   0   0 | 40   *   *  *  *   6   0  0  0 0 | 12  0  0 0 |  4  4 0
x3o . . . .    o3x   9 |  9   9 |  3   9   3 |  0   3   3   0 |  * 320   *  *  * |  1   4  0  0 0 |  4  2  2 0 |  2  2 1
x . . . o . *e3o3x   8 |  4  12 |  0   6   8 |  0   0   4   2 |  *   * 480  *  * |  0   2  1  1 0 |  1  2  2 1 |  1  1 2
. . . o3o . *e3o3x   5 |  0  10 |  0   0  10 |  0   0   0   5 |  *   *   * 64  * |  0   0  3  0 1 |  0  3  0 3 |  1  0 3
. . . . o3o *e3o3x   5 |  0  10 |  0   0  10 |  0   0   0   5 |  *   *   *  * 64 |  0   0  0  3 1 |  0  0  3 3 |  0  1 3
-------------------+----+--------+------------+----------------+------------------+----------------+------------+--------
x3o3o . . .    o3x  12 | 18  12 | 12  18   4 |  3  12   6   0 |  3   4   0  0  0 | 80   *  *  * * |  4  0  0 0 |  2  2 0
x3o . . o . *e3o3x  12 | 12  18 |  4  18  12 |  0   6  12   3 |  0   4   3  0  0 |  * 320  *  * * |  1  1  1 0 |  1  1 1
x . . o3o . *e3o3x  10 |  5  20 |  0  10  20 |  0   0  10  10 |  0   0   5  2  0 |  *   * 96  * * |  0  2  0 1 |  1  0 2
x . . . o3o *e3o3x  10 |  5  20 |  0  10  20 |  0   0  10  10 |  0   0   5  0  2 |  *   *  * 96 * |  0  0  2 1 |  0  1 2
. . . o3o3o *e3o3x  10 |  0  40 |  0   0  80 |  0   0   0  80 |  0   0   0 16 16 |  *   *  *  * 4 |  0  0  0 3 |  0  0 3
-------------------+----+--------+------------+----------------+------------------+----------------+------------+--------
x3o3o . o . *e3o3x  16 | 24  24 | 16  24  16 |  4  24  24   4 |  6  16   6  0  0 |  4   4  0  0 0 | 80  *  * * |  1  1 0
x3o . o3o . *e3o3x  15 | 15  30 |  5  30  30 |  0  10  30  15 |  0  10  15  3  0 |  0   5  3  0 0 |  * 64  * * |  1  0 1
x3o . . o3o *e3o3x  15 | 15  30 |  5  30  30 |  0  10  30  15 |  0  10  15  0  3 |  0   5  0  3 0 |  *  * 64 * |  0  1 1
x . . o3o3o *e3o3x  20 | 10  80 |  0  40 160 |  0   0  80 160 |  0   0  80 32 32 |  0   0 16 16 2 |  *  *  * 6 |  0  0 2
-------------------+----+--------+------------+----------------+------------------+----------------+------------+--------
x3o3o o3o . *e3o3x  20 | 30  40 | 20  60  40 |  5  40  60  20 | 10  40  30  4  0 | 10  20  6  0 0 |  5  4  0 0 | 16  * *
x3o3o . o3o *e3o3x  20 | 30  40 | 20  60  40 |  5  40  60  20 | 10  40  30  0  4 | 10  20  0  6 0 |  5  0  4 0 |  * 16 *
x3o . o3o3o *e3o3x  30 | 30 120 | 10 120 240 |  0  40 240 240 |  0  80 240 48 48 |  0  80 48 48 3 |  0 16 16 3 |  *  * 4

© 2004-2019
top of page