Acronym thenne
Name truncated hemienneract,
cantic enneract
Circumradius sqrt(65/8) = 2.850439
Inradius
wrt. tene
7/sqrt(8) = 2.474874
Inradius
wrt. rene
23/sqrt(72) = 2.710576
Inradius
wrt. thocto
3/sqrt(8) = 1.060660
Lace city
in approx. ASCII-art
t   u   U   T		-- x3x3o *b3o3o3o3o3o (thocto)
             
u   d   D   U		-- u3o3x *b3o3o3o3o3o ((u,x)-recto)
             
U   D   d   u		-- x3o3u *b3o3o3o3o3o ((x,u)-recto)
             
T   U   u   t		-- o3x3x *b3o3o3o3o3o (gyro thocto)

where:
t = x3x3o *b3o3o3o3o (thesa)
T = o3x3x *b3o3o3o3o (gyro thesa)
u = u3o3x *b3o3o3o3o ((u,x)-rasa)
U = x3o3u *b3o3o3o3o ((x,u)-rasa)
d = d3o3o *b3o3o3o3o (d-hesa)
D = o3o3d *b3o3o3o3o (gyro d-hesa)
Dihedral angles
(at margins)
Confer
analogs:
truncated demihypercube tDn  

Incidence matrix according to Dynkin symbol

x3x3o *b3o3o3o3o3o3o

. . .    . . . . . . | 9216 |    1    14 |    14     7     42 |    7    42    21     70 |   21    70    35     70 |   35    70    35    42 |  35   42   21    14 |  21   14    7    2 |  7   2   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x . .    . . . . . . |    2 | 4608     *     14     0      0 |    7    42     0      0 |   21    70     0      0 |   35    70     0     0 |  35   42    0     0 |  21   14    0    0 |  7   2   0
. x .    . . . . . . |    2 |    * 64512 |     1     1      6 |    1     6     6     15 |    6    15    15     20 |   15    20    20    15 |  20   15   15     6 |  15    6    6    1 |  6   1   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x3x .    . . . . . . |    6 |    3     3 | 21504     *      * |    1     6     0      0 |    6    15     0      0 |   15    20     0     0 |  20   15    0     0 |  15    6    0    0 |  6   1   0
. x3o    . . . . . . |    3 |    0     3 |     * 21504      * |    1     0     6      0 |    6     0    15      0 |   15     0    20     0 |  20    0   15     0 |  15    0    6    0 |  6   0   1
. x . *b3o . . . . . |    3 |    0     3 |     *     * 129024 |    0     1     1      5 |    1     5     5     10 |    5    10    10    10 |  10   10   10     5 |  10    5    5    1 |  5   1   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x3x3o    . . . . . .    12 |    6    12 |     4     4      0 | 5376     *     *      *     6     0     0      0 |   15     0     0     0 |  20    0    0     0 |  15    0    0    0 |  6   0   0
x3x . *b3o . . . . .    12 |    6    12 |     4     0      4 |    * 32256     *      * |    1     5     0      0 |    5    10     0     0 |  10   10    0     0 |  10    5    0    0 |  5   1   0
. x3o *b3o . . . . .     6 |    0    12 |     0     4      4 |    *     * 32256      * |    1     0     5      0 |    5     0    10     0 |  10    0   10     0 |  10    0    5    0 |  5   0   1
. x . *b3o3o . . . .     4 |    0     6 |     0     0      4 |    *     *     * 161280 |    0     1     1      4 |    1     4     4     6 |   4    6    6     4 |   6    4    4    1 |  4   1   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x3x3o *b3o . . . . .    48 |   24    96 |    32    32     32 |    8     8     8      0 | 4032     *     *      *     5     0     0     0 |  10    0    0     0 |  10    0    0    0 |  5   0   0
x3x . *b3o3o . . . .    20 |   10    30 |    10     0     20 |    0     5     0      5 |    * 32256     *      * |    1     4     0     0 |   4    6    0     0 |   6    4    0    0 |  4   1   0
. x3o *b3o3o . . . .    10 |    0    30 |     0    10     20 |    0     0     5      5 |    *     * 32256      * |    1     0     4     0 |   4    0    6     0 |   6    0    4    0 |  4   0   1
. x . *b3o3o3o . . .     5 |    0    10 |     0     0     10 |    0     0     0      5 |    *     *     * 129024 |    0     1     1     3 |   1    3    3     3 |   3    3    3    1 |  3   1   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x3x3o *b3o3o . . . .   160 |   80   480 |   160   160    320 |   40    80    80     80 |   10    16    16      0 | 2016     *     *     *    4    0    0     0 |   6    0    0    0 |  4   0   0
x3x . *b3o3o3o . . .    30 |   15    60 |    20     0     60 |    0    15     0     30 |    0     6     0      6 |    * 21504     *     * |   1    3    0     0 |   3    3    0    0 |  3   1   0
. x3o *b3o3o3o . . .    15 |    0    60 |     0    20     60 |    0     0    15     30 |    0     0     6      6 |    *     * 21504     * |   1    0    3     0 |   3    0    3    0 |  3   0   1
. x . *b3o3o3o3o . .     6 |    0    15 |     0     0     20 |    0     0     0     15 |    0     0     0      6 |    *     *     * 64512 |   0    1    1     2 |   1    2    2    1 |  2   1   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x3x3o *b3o3o3o . . .   480 |  240  1920 |   640   640   1920 |  160   480   480    960 |   60   192   192    192 |   12    32    32     0 | 672    *    *     * |   3    0    0    0 |  3   0   0
x3x . *b3o3o3o3o . .    42 |   21   105 |    35     0    140 |    0    35     0    105 |    0    21     0     42 |    0     7     0     7 |   * 9216    *     * |   1    2    0    0 |  2   1   0
. x3o *b3o3o3o3o . .    21 |    0   105 |     0    35    140 |    0     0    35    105 |    0     0    21     42 |    0     0     7     7 |   *    * 9216     * |   1    0    2    0 |  2   0   1
. x . *b3o3o3o3o3o .     7 |    0    21 |     0     0     35 |    0     0     0     35 |    0     0     0     21 |    0     0     0     7 |   *    *    * 18432 |   0    1    1    1 |  1   1   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x3x3o *b3o3o3o3o . .  1344 |  672  6720 |  2240  2240   8960 |  560  2240  2240   6720 |  280  1344  1344   2688 |   84   448   448   448 |  14   64   64     0 | 144    *    *    * |  2   0   0
x3x . *b3o3o3o3o3o .    56 |   28   168 |    56     0    280 |    0    70     0    280 |    0    56     0    168 |    0    28     0    56 |   0    8    0     8 |   * 2304    *    * |  1   1   0
. x3o *b3o3o3o3o3o .    28 |    0   168 |     0    56    280 |    0     0    70    280 |    0     0    56    168 |    0     0    28    56 |   0    0    8     8 |   *    * 2304    * |  1   0   1
. x . *b3o3o3o3o3o3o     8 |    0    28 |     0     0     56 |    0     0     0     70 |    0     0     0     56 |    0     0     0    28 |   0    0    0     8 |   *    *    * 2304 |  0   1   1
---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+-----------
x3x3o *b3o3o3o3o3o .  3584 | 1792 21504 |  7168  7168  35840 | 1792  8960  8960  35840 | 1120  7168  7168  21504 |  448  3584  3584  7168 | 112 1024 1024  1024 |  16  128  128    0 | 18   *   *
x3x . *b3o3o3o3o3o3o    72 |   36   252 |    84     0    504 |    0   126     0    630 |    0   126     0    504 |    0    84     0   252 |   0   36    0    72 |   0    9    0    9 |  * 256   *
. x3o *b3o3o3o3o3o3o    36 |    0   252 |     0    84    504 |    0     0   126    630 |    0     0   126    504 |    0     0    84   252 |   0    0   36    72 |   0    0    9    9 |  *   * 256

© 2004-2021
top of page