Acronym trigee
Name triangle - hexacontitetrapeton duoprism,
vertex figure of brav
Circumradius sqrt(5/6) = 0.912871

Incidence matrix according to Dynkin symbol

x3o x3o3o3o3o4o

. . . . . . . . | 36 |  2  10 |  1  20  40 | 10  80  80 |  40 160  80 |  80 160  32 |  80  64 1 | 32 2
----------------+----+--------+------------+------------+-------------+-------------+-----------+-----
x . . . . . . . |  2 | 36   * |  1  10   0 | 10  40   0 |  40  80   0 |  80  80   0 |  80  32 0 | 32 1
. . x . . . . . |  2 |  * 180 |  0   2   8 |  1  16  24 |   8  48  32 |  24  64  16 |  16  16 1 | 16 2
----------------+----+--------+------------+------------+-------------+-------------+-----------+-----
x3o . . . . . . |  3 |  3   0 | 12   *   *  10   0   0 |  40   0   0 |  80   0   0 |  80   0 0 | 32 0
x . x . . . . . |  4 |  2   2 |  * 180   * |  1   8   0 |   8  24   0 |  24  32   0 |  32  16 0 | 16 1
. . x3o . . . . |  3 |  0   3 |  *   * 480 |  0   2   6 |   1  12  12 |   6  24   8 |  12  16 1 |  8 2
----------------+----+--------+------------+------------+-------------+-------------+-----------+-----
x3o x . . . . .   6 |  6   3 |  2   3   0 | 60   *   *    8   0   0 |  24   0   0 |  32   0 0 | 16 0
x . x3o . . . .   6 |  3   6 |  0   3   2 |  * 480   * |   1   6   0 |   6  12   0 |  12   8 0 |  8 1
. . x3o3o . . .   4 |  0   6 |  0   0   4 |  *   * 720 |   0   2   4 |   1   8   4 |   4   8 1 |  4 2
----------------+----+--------+------------+------------+-------------+-------------+-----------+-----
x3o x3o . . . .   9 |  9   9 |  3   9   3 |  3   3   0 | 160   *   *    6   0   0 |  12   0 0 |  8 0
x . x3o3o . . .   8 |  4  12 |  0   6   8 |  0   4   2 |   * 720   * |   1   4   0 |   4   4 0 |  4 1
. . x3o3o3o . .   5 |  0  10 |  0   0  10 |  0   0   5 |   *   * 576 |   0   2   2 |   1   4 1 |  2 2
----------------+----+--------+------------+------------+-------------+-------------+-----------+-----
x3o x3o3o . . .  12 | 12  18 |  4  18  12 |  6  12   3 |   4   3   0 | 240   *   * |   4   0 0 |  4 0
x . x3o3o3o . .  10 |  5  20 |  0  10  20 |  0  10  10 |   0   5   2 |   * 576   * |   1   2 0 |  2 1
. . x3o3o3o3o .   6 |  0  15 |  0   0  20 |  0   0  15 |   0   0   6 |   *   * 192 |   0   2 1 |  1 2
----------------+----+--------+------------+------------+-------------+-------------+-----------+-----
x3o x3o3o3o . .  15 | 15  30 |  5  30  30 | 10  30  15 |  10  15   3 |   5   3   0 | 192   * * |  2 0
x . x3o3o3o3o .  12 |  6  30 |  0  15  40 |  0  20  30 |   0  15  12 |   0   6   2 |   * 192 * |  1 1
. . x3o3o3o3o4o  12 |  0  60 |  0   0 160 |  0   0 240 |   0   0 192 |   0   0  64 |   *   * 3 |  0 2
----------------+----+--------+------------+------------+-------------+-------------+-----------+-----
x3o x3o3o3o3o .  18 | 18  45 |  6  45  60 | 15  60  45 |  20  45  18 |  15  18   3 |   6   3 0 | 64 *
x . x3o3o3o3o4o  24 | 12 120 |  0  60 320 |  0 160 480 |   0 240 384 |   0 192 128 |   0  64 2 |  * 3

© 2004-2019
top of page