Acronym	tim
Name	truncated pentacontitetrapeton
Circumradius	sqrt(7) = 2.645751
Inradius wrt. dot	5/2 = 2.5
Inradius wrt. thin	sqrt(27/8) = 1.837117
Volume	5673 sqrt(3)/16 = 614.120264
Surface	[28035 sqrt(2)+198 sqrt(3)]/20 = 1999.521164
Dihedral angles (at margins)	at rap between dot and thin:   arccos[-sqrt(3/8)] = 127.761244° at thex between thin and thin:   120° at tip between thin and thin:   arccos(-1/4) = 104.477512°
Face vector	1440, 7200, 10800, 6480, 1566, 126
Confer	related CRFs: dotum   general polytopal classes: Wythoffian polypeta   lace simplices   tutsatopes   analogs: truncated Gossetic t(1n,2)
External links

Incidence matrix according to Dynkin symbol

o3o3x3o3o *c3x

. . . . .    . | 1440 |    9   1 |    9    9    9 |    3    9    9    3    9 |   3   3   3   9   3 |  1  3  3
---------------+------+----------+----------------+--------------------------+---------------------+---------
. . x . .    . |    2 | 6480   * |    2    2    1 |    1    4    2    1    2 |   2   1   2   4   1 |  1  2  2
. . . . .    x |    2 |    * 720 ♦    0    0    9 |    0    0    9    0    9 |   0   3   0   9   3 |  0  3  3
---------------+------+----------+----------------+--------------------------+---------------------+---------
. o3x . .    . |    3 |    3   0 | 4320    *    * |    1    2    1    0    0 |   2   1   1   2   0 |  1  2  1
. . x3o .    . |    3 |    3   0 |    * 4320    * |    0    2    0    1    1 |   1   0   2   2   1 |  1  1  2
. . x . . *c3x |    6 |    3   3 |    *    * 2160 |    0    0    2    0    2 |   0   1   0   4   1 |  0  2  2
---------------+------+----------+----------------+--------------------------+---------------------+---------
o3o3x . .    . ♦    4 |    6   0 |    4    0    0 | 1080    *    *    *    * |   2   1   0   0   0 |  1  2  0
. o3x3o .    . ♦    6 |   12   0 |    4    4    0 |    * 2160    *    *    * |   1   0   1   1   0 |  1  1  1
. o3x . . *c3x ♦   12 |   12   6 |    4    0    4 |    *    * 1080    *    * |   0   1   0   2   0 |  0  2  1
. . x3o3o    . ♦    4 |    6   0 |    0    4    0 |    *    *    * 1080    * |   0   0   2   0   1 |  1  0  2
. . x3o . *c3x ♦   12 |   12   6 |    0    4    4 |    *    *    *    * 1080 |   0   0   0   2   1 |  0  1  2
---------------+------+----------+----------------+--------------------------+---------------------+---------
o3o3x3o .    . ♦   10 |   30   0 |   20   10    0 |    5    5    0    0    0 | 432   *   *   *   * |  1  1  0
o3o3x . . *c3x ♦   20 |   30  10 |   20    0   10 |    5    0    5    0    0 |   * 216   *   *   * |  0  2  0
. o3x3o3o    . ♦   10 |   30   0 |   10   20    0 |    0    5    0    5    0 |   *   * 432   *   * |  1  0  1
. o3x3o . *c3x ♦   48 |   96  24 |   32   32   32 |    0    8    8    0    8 |   *   *   * 270   * |  0  1  1
. . x3o3o *c3x ♦   20 |   30  10 |    0   20   10 |    0    0    0    5    5 |   *   *   *   * 216 |  0  0  2
---------------+------+----------+----------------+--------------------------+---------------------+---------
o3o3x3o3o    . ♦   20 |   90   0 |   60   60    0 |   15   30    0   15    0 |   6   0   6   0   0 | 72  *  *
o3o3x3o . *c3x ♦  160 |  480  80 |  320  160  160 |   80   80   80    0   40 |  16  16   0  10   0 |  * 27  *
. o3x3o3o *c3x ♦  160 |  480  80 |  160  320  160 |    0   80   40   80   80 |   0   0  16  10  16 |  *  * 27

or
. . . . .    .    | 1440 |    9   1 |   18    9 |    6    9   18 |   6   6   9 |  1  6
------------------+------+----------+-----------+----------------+-------------+------
. . x . .    .    |    2 | 6480   * |    4    1 |    2    4    4 |   4   2   4 |  1  4
. . . . .    x    |    2 |    * 720 ♦    0    9 |    0    0   18 |   0   6   9 |  0  6
------------------+------+----------+-----------+----------------+-------------+------
. o3x . .    .  & |    3 |    3   0 | 8640    * |    1    2    1 |   3   1   2 |  1  3
. . x . . *c3x    |    6 |    3   3 |    * 2160 |    0    0    4 |   0   2   4 |  0  4
------------------+------+----------+-----------+----------------+-------------+------
o3o3x . .    .  & ♦    4 |    6   0 |    4    0 | 2160    *    * |   2   1   0 |  1  2
. o3x3o .    .    ♦    6 |   12   0 |    8    0 |    * 2160    * |   2   0   1 |  1  2
. o3x . . *c3x  & ♦   12 |   12   6 |    4    4 |    *    * 2160 |   0   1   2 |  0  3
------------------+------+----------+-----------+----------------+-------------+------
o3o3x3o .    .  & ♦   10 |   30   0 |   30    0 |    5    5    0 | 864   *   * |  1  1
o3o3x . . *c3x  & ♦   20 |   30  10 |   20   10 |    5    0    5 |   * 432   * |  0  2
. o3x3o . *c3x    ♦   48 |   96  24 |   64   32 |    0    8   16 |   *   * 270 |  0  2
------------------+------+----------+-----------+----------------+-------------+------
o3o3x3o3o    .    ♦   20 |   90   0 |  120    0 |   30   30    0 |  12   0   0 | 72  *
o3o3x3o . *c3x  & ♦  160 |  480  80 |  480  160 |   80   80  120 |  16  16  10 |  * 54