Acronym tiv
Name truncated pentacosidodecayotton,
truncated enneacross
Circumradius sqrt(5/2) = 1.581139
Inradius
wrt. tene
1/sqrt(2) = 0.707107
Inradius
wrt. ek
sqrt(2) = 1.414214
Volume 1093 sqrt(2)/1260 = 1.226774
Surface 437/28 = 15.607143
Dihedral angles
(at margins)
  • at toc between tene and tene:   arccos(-7/9) = 141.057559°
  • at oca between ek and tene:   arccos[-1/sqrt(9)] = 109.471221°
Confer
analogs:
truncated orthoplex tOn  

Incidence matrix according to Dynkin symbol

x3x3o3o3o3o3o3o4o

. . . . . . . . . | 288 |   1   14 |  14   84 |   84   280 |  280   560 |  560   672 |  672   448 |  448  128 | 128  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x . . . . . . . . |   2 | 144    *   14    0 |   84     0 |  280     0 |  560     0 |  672     0 |  448    0 | 128  0
. x . . . . . . . |   2 |   * 2016 |   1   12 |   12    60 |   60   160 |  160   240 |  240   192 |  192   64 |  64  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x3x . . . . . . . |   6 |   3    3 | 672    *    12     0 |   60     0 |  160     0 |  240     0 |  192    0 |  64  0
. x3o . . . . . . |   3 |   0    3 |   * 8064 |    1    10 |   10    40 |   40    80 |   80    80 |   80   32 |  32  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x3x3o . . . . . .   12 |   6   12 |   4    4 | 2016     *    10     0 |   40     0 |   80     0 |   80    0 |  32  0
. x3o3o . . . . .    4 |   0    6 |   0    4 |    * 20160 |    1     8 |    8    24 |   24    32 |   32   16 |  16  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x3x3o3o . . . . .   20 |  10   30 |  10   20 |    5     5 | 4032     *     8     0 |   24     0 |   32    0 |  16  0
. x3o3o3o . . . .    5 |   0   10 |   0   10 |    0     5 |    * 32256 |    1     6 |    6    12 |   12    8 |   8  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x3x3o3o3o . . . .   30 |  15   60 |  20   60 |   15    30 |    6     6 | 5376     *     6     0 |   12    0 |   8  0
. x3o3o3o3o . . .    6 |   0   15 |   0   20 |    0    15 |    0     6 |    * 32256 |    1     4 |    4    4 |   4  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x3x3o3o3o3o . . .   42 |  21  105 |  35  140 |   35   105 |   21    42 |    7     7 | 4608     * |    4    0 |   4  0
. x3o3o3o3o3o . .    7 |   0   21 |   0   35 |    0    35 |    0    21 |    0     7 |    * 18432 |    1    2 |   2  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x3x3o3o3o3o3o . .   56 |  28  168 |  56  280 |   70   280 |   56   168 |   28    56 |    8     8 | 2304    * |   2  0
. x3o3o3o3o3o3o .    8 |   0   28 |   0   56 |    0    70 |    0    56 |    0    28 |    0     8 |    * 4608 |   1  1
------------------+-----+----------+----------+------------+------------+------------+------------+-----------+-------
x3x3o3o3o3o3o3o .   72 |  36  252 |  84  504 |  126   630 |  126   504 |   84   252 |   36    72 |    9    9 | 512  *
. x3o3o3o3o3o3o4o   16 |   0  112 |   0  448 |    0  1120 |    0  1792 |    0  1792 |    0  1024 |    0  256 |   * 18

o3o3o *b3o3o3o3o3x3x

. . .    . . . . . . | 288 |   14   1 |   84  14 |   280   84 |   560  280 |   672  560 |   448  672 |   64   64  448 |  1  64  64
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
. . .    . . . . x . |   2 | 2016   * |   12   1 |    60   12 |   160   60 |   240  160 |   192  240 |   32   32  192 |  1  32  32
. . .    . . . . . x |   2 |    * 144     0  14 |     0   84 |     0  280 |     0  560 |     0  672 |    0    0  448 |  0  64  64
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
. . .    . . . o3x . |   3 |    3   0 | 8064   * |    10    1 |    40   10 |    80   40 |    80   80 |   16   16   80 |  1  16  16
. . .    . . . . x3x |   6 |    3   3 |    * 672      0   12 |     0   60 |     0  160 |     0  240 |    0    0  192 |  0  32  32
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
. . .    . . o3o3x .    4 |    6   0 |    4   0 | 20160    * |     8    1 |    24    8 |    32   24 |    8    8   32 |  1   8   8
. . .    . . . o3x3x   12 |   12   6 |    4   4 |     * 2016      0   10 |     0   40 |     0   80 |    0    0   80 |  0  16  16
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
. . .    . o3o3o3x .    5 |   10   0 |   10   0 |     5    0 | 32256    * |     6    1 |    12    6 |    4    4   12 |  1   4   4
. . .    . . o3o3x3x   20 |   30  10 |   20  10 |     5    5 |     * 4032      0    8 |     0   24 |    0    0   32 |  0   8   8
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
. . .    o3o3o3o3x .    6 |   15   0 |   20   0 |    15    0 |     6    0 | 32256    * |     4    1 |    2    2    4 |  1   2   2
. . .    . o3o3o3x3x   30 |   60  15 |   60  20 |    30   15 |     6    6 |     * 5376      0    6 |    0    0   12 |  0   4   4
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
. o . *b3o3o3o3o3x .    7 |   21   0 |   35   0 |    35    0 |    21    0 |     7    0 | 18432    * |    1    1    1 |  1   1   1
. . .    o3o3o3o3x3x   42 |  105  21 |  140  35 |   105   35 |    42   21 |     7    7 |     * 4608 |    0    0    4 |  0   2   2
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
o3o . *b3o3o3o3o3x .    8 |   28   0 |   56   0 |    70    0 |    56    0 |    28    0 |     8    0 | 2304    *    * |  1   1   0
. o3o *b3o3o3o3o3x .    8 |   28   0 |   56   0 |    70    0 |    56    0 |    28    0 |     8    0 |    * 2304    * |  1   0   1
. o . *b3o3o3o3o3x3x   56 |  168  28 |  280  56 |   280   70 |   168   56 |    56   28 |     8    8 |    *    * 2304 |  0   1   1
---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+-----------
o3o3o *b3o3o3o3o3x .   16 |  112   0 |  448   0 |  1120    0 |  1792    0 |  1792    0 |  1024    0 |  128  128    0 | 18   *   *
o3o . *b3o3o3o3o3x3x   72 |  252  36 |  504  84 |   630  126 |   504  126 |   252   84 |    72   36 |    9    0    9 |  * 256   *
. o3o *b3o3o3o3o3x3x   72 |  252  36 |  504  84 |   630  126 |   504  126 |   252   84 |    72   36 |    0    9    9 |  *   * 256

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