Acronym | hexal trahex |
Name |
hex atop gyrated trahex, hex-first cap of hesa |
Circumradius | sqrt(7/8) = 0.935414 |
Face vector | 32, 216, 592, 768, 516, 182, 28 |
Confer |
|
Incidence matrix according to Dynkin symbol
xo3oo3ox *b3oo ox3oo&#x → height = 1/sqrt(6) = 0.408248
(hex || gyro trahex)
o.3o.3o. *b3o. o.3o. | 8 * | 6 12 0 0 | 12 36 18 12 0 0 0 | 4 4 36 18 36 12 18 4 0 0 0 0 | 1 12 12 36 18 12 3 12 6 0 0 0 0 | 3 12 12 12 6 3 4 0 0 0 | 3 4 4 1 0
.o3.o3.o *b3.o .o3.o | * 24 | 0 4 6 2 | 0 6 12 8 12 12 1 | 0 0 4 6 12 12 24 4 4 4 24 6 | 0 4 1 8 12 6 4 24 12 1 8 8 12 | 1 8 2 4 6 8 12 2 4 4 | 2 4 1 4 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x. .. .. .. .. .. | 2 0 | 24 * * * | 4 6 0 0 0 0 0 | 2 2 12 3 6 0 0 0 0 0 0 0 | 1 6 6 12 3 2 0 0 0 0 0 0 0 | 3 6 6 4 1 0 0 0 0 0 | 3 2 2 0 0
oo3oo3oo *b3oo oo3oo&#x | 1 1 | * 96 * * | 0 3 3 2 0 0 0 | 0 0 3 3 6 3 6 1 0 0 0 0 | 0 3 1 6 6 3 1 6 3 0 0 0 0 | 1 6 2 3 3 2 3 0 0 0 | 2 3 1 1 0
.. .. .x .. .. .. | 0 2 | * * 72 * | 0 0 2 0 4 2 0 | 0 0 0 1 0 4 4 0 2 2 8 1 | 0 2 0 0 2 0 2 8 2 1 4 4 4 | 1 4 0 0 1 4 4 2 2 2 | 2 2 0 2 1
.. .. .. .. .x .. | 0 2 | * * * 24 | 0 0 0 4 0 6 1 | 0 0 0 0 6 0 12 4 0 0 12 6 | 0 0 0 4 6 6 0 12 12 0 4 4 12 | 0 4 1 4 6 4 12 1 4 4 | 1 4 1 4 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x.3o. .. .. .. .. | 3 0 | 3 0 0 0 | 32 * * * * * * | 1 1 3 0 0 0 0 0 0 0 0 0 | 1 3 3 3 0 0 0 0 0 0 0 0 0 | 3 3 3 1 0 0 0 0 0 0 | 3 1 1 0 0
xo .. .. .. .. ..&#x | 2 1 | 1 2 0 0 | * 144 * * * * * | 0 0 2 1 2 0 0 0 0 0 0 0 | 0 2 1 4 2 1 0 0 0 0 0 0 0 | 1 4 2 2 1 0 0 0 0 0 | 2 2 1 0 0
.. .. ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 144 * * * * | 0 0 0 1 0 2 2 0 0 0 0 0 | 0 2 0 0 2 0 1 4 1 0 0 0 0 | 1 4 0 0 1 2 2 0 0 0 | 2 2 0 1 0
.. .. .. .. ox ..&#x | 1 2 | 0 2 0 1 | * * * 96 * * * | 0 0 0 0 3 0 3 1 0 0 0 0 | 0 0 0 3 3 3 0 3 3 0 0 0 0 | 0 3 1 3 3 1 3 0 0 0 | 1 3 1 1 0
.. .o3.x .. .. .. | 0 3 | 0 0 3 0 | * * * * 96 * * | 0 0 0 0 0 1 0 0 1 1 2 0 | 0 1 0 0 0 0 1 2 0 1 2 2 1 | 1 2 0 0 0 2 1 2 1 1 | 2 1 0 1 1
.. .. .x .. .x .. | 0 4 | 0 0 2 2 | * * * * * 72 * | 0 0 0 0 0 0 2 0 0 0 4 1 | 0 0 0 0 1 0 0 4 2 0 2 2 4 | 0 2 0 0 1 2 4 1 2 2 | 1 2 0 2 1
.. .. .. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * * 8 | 0 0 0 0 0 0 0 4 0 0 0 6 | 0 0 0 0 0 6 0 0 12 0 0 0 12 | 0 0 0 4 6 0 12 0 4 4 | 0 4 1 4 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x.3o.3o. .. .. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 | 8 * * * * * * * * * * * | 1 3 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 | 3 1 0 0 0
x.3o. .. *b3o. .. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 | * 8 * * * * * * * * * * | 1 0 3 0 0 0 0 0 0 0 0 0 0 | 3 0 3 0 0 0 0 0 0 0 | 3 0 1 0 0
xo3oo .. .. .. ..&#x ♦ 3 1 | 3 3 0 0 | 1 3 0 0 0 0 0 | * * 96 * * * * * * * * * | 0 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 | 2 1 1 0 0
xo .. ox .. .. ..&#x ♦ 2 2 | 1 4 1 0 | 0 2 2 0 0 0 0 | * * * 72 * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 | 1 4 0 0 1 0 0 0 0 0 | 2 2 0 0 0
xo .. .. .. ox ..&#x ♦ 2 2 | 1 4 0 1 | 0 2 0 2 0 0 0 | * * * * 144 * * * * * * * | 0 0 0 2 1 1 0 0 0 0 0 0 0 | 0 2 1 2 1 0 0 0 0 0 | 1 2 1 0 0
.. oo3ox .. .. ..&#x ♦ 1 3 | 0 3 3 0 | 0 0 3 0 1 0 0 | * * * * * 96 * * * * * * | 0 1 0 0 0 0 1 2 0 0 0 0 0 | 1 2 0 0 0 2 1 0 0 0 | 2 1 0 1 0
.. .. ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 2 0 1 0 | * * * * * * 144 * * * * * | 0 0 0 0 1 0 0 2 1 0 0 0 0 | 0 2 0 0 1 1 2 0 0 0 | 1 2 0 1 0
.. .. .. .. ox3oo&#x ♦ 1 3 | 0 3 0 3 | 0 0 0 3 0 0 1 | * * * * * * * 32 * * * * | 0 0 0 0 0 3 0 0 3 0 0 0 0 | 0 0 0 3 3 0 3 0 0 0 | 0 3 1 1 0
.o3.o3.x .. .. .. ♦ 0 4 | 0 0 6 0 | 0 0 0 0 4 0 0 | * * * * * * * * 24 * * * | 0 1 0 0 0 0 0 0 0 1 2 0 0 | 1 2 0 0 0 0 0 2 1 0 | 2 1 0 0 1
.. .o3.x *b3.o .. .. ♦ 0 4 | 0 0 6 0 | 0 0 0 0 4 0 0 | * * * * * * * * * 24 * * | 0 0 0 0 0 0 1 0 0 1 0 2 0 | 1 0 0 0 0 2 0 2 0 1 | 2 0 0 1 1
.. .o3.x .. .x .. ♦ 0 6 | 0 0 6 3 | 0 0 0 0 2 3 0 | * * * * * * * * * * 96 * | 0 0 0 0 0 0 0 1 0 0 1 1 1 | 0 1 0 0 0 1 1 1 1 1 | 1 1 0 1 1
.. .. .x .. .x3.o ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 2 0 0 0 4 | 0 0 0 0 1 0 4 0 2 2 | 0 2 0 2 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x.3o.3o. *b3o. .. .. ♦ 8 0 | 24 0 0 0 | 32 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 3 0 0 0 0 0 0 0 0 0 | 3 0 0 0 0
xo3oo3ox .. .. ..&#x ♦ 4 4 | 6 12 6 0 | 4 12 12 0 4 0 0 | 1 0 4 6 0 4 0 0 1 0 0 0 | * 24 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0 0
xo3oo .. *b3oo .. ..&#x ♦ 4 1 | 6 4 0 0 | 4 6 0 0 0 0 0 | 0 1 4 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 | 2 0 1 0 0
xo3oo .. .. ox ..&#x ♦ 3 2 | 3 6 0 1 | 1 6 0 3 0 0 0 | 0 0 2 0 3 0 0 0 0 0 0 0 | * * * 96 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0
xo .. ox .. ox ..&#x ♦ 2 4 | 1 8 2 2 | 0 4 4 4 0 1 0 | 0 0 0 2 2 0 2 0 0 0 0 0 | * * * * 72 * * * * * * * * | 0 2 0 0 1 0 0 0 0 0 | 1 2 0 0 0
xo .. .. .. ox3oo&#x ♦ 2 3 | 1 6 0 3 | 0 3 0 6 0 0 1 | 0 0 0 0 3 0 0 2 0 0 0 0 | * * * * * 48 * * * * * * * | 0 0 0 2 1 0 0 0 0 0 | 0 2 1 0 0
.. oo3ox *b3oo .. ..&#x ♦ 1 4 | 0 4 6 0 | 0 0 6 0 4 0 0 | 0 0 0 0 0 4 0 0 0 1 0 0 | * * * * * * 24 * * * * * * | 1 0 0 0 0 2 0 0 0 0 | 2 0 0 1 0
.. oo3ox .. ox ..&#x ♦ 1 6 | 0 6 6 3 | 0 0 6 3 2 3 0 | 0 0 0 0 0 2 3 0 0 0 1 0 | * * * * * * * 96 * * * * * | 0 1 0 0 0 1 1 0 0 0 | 1 1 0 1 0
.. .. ox .. ox3oo&#x ♦ 1 6 | 0 6 3 6 | 0 0 3 6 0 3 2 | 0 0 0 0 0 0 3 2 0 0 0 1 | * * * * * * * * 48 * * * * | 0 0 0 0 1 0 2 0 0 0 | 0 2 0 1 0
.o3.o3.x *b3.o .. .. ♦ 0 8 | 0 0 24 0 | 0 0 0 0 32 0 0 | 0 0 0 0 0 0 0 0 8 8 0 0 | * * * * * * * * * 3 * * * | 1 0 0 0 0 0 0 2 0 0 | 2 0 0 0 1
.o3.o3.x .. .x .. ♦ 0 8 | 0 0 12 4 | 0 0 0 0 8 6 0 | 0 0 0 0 0 0 0 0 2 0 4 0 | * * * * * * * * * * 24 * * | 0 1 0 0 0 0 0 1 1 0 | 1 1 0 0 1
.. .o3.x *b3.o .x .. ♦ 0 8 | 0 0 12 4 | 0 0 0 0 8 6 0 | 0 0 0 0 0 0 0 0 0 2 4 0 | * * * * * * * * * * * 24 * | 0 0 0 0 0 1 0 1 0 1 | 1 0 0 1 1
.. .o3.x .. .x3.o ♦ 0 9 | 0 0 9 9 | 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * 32 | 0 0 0 0 0 0 1 0 1 1 | 0 1 0 1 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
xo3oo3ox *b3oo .. ..&#x ♦ 8 8 | 24 32 24 0 | 32 48 48 0 32 0 0 | 8 8 32 24 0 32 0 0 8 8 0 0 | 1 8 8 0 0 0 8 0 0 1 0 0 0 | 3 * * * * * * * * * | 2 0 0 0 0
xo3oo3ox .. ox ..&#x ♦ 4 8 | 6 24 12 4 | 4 24 24 12 8 6 0 | 1 0 8 12 12 8 12 0 2 0 4 0 | 0 2 0 4 6 0 0 4 0 0 1 0 0 | * 24 * * * * * * * * | 1 1 0 0 0
xo3oo .. *b3oo ox ..&#x ♦ 4 2 | 6 8 0 1 | 4 12 0 4 0 0 0 | 0 1 8 0 6 0 0 0 0 0 0 0 | 0 0 2 4 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * | 1 0 1 0 0
xo3oo .. .. ox3oo&#x ♦ 3 3 | 3 9 0 3 | 1 9 0 9 0 0 1 | 0 0 3 0 9 0 0 3 0 0 0 0 | 0 0 0 3 0 3 0 0 0 0 0 0 0 | * * * 32 * * * * * * | 0 1 1 0 0
xo .. ox .. ox3oo&#x ♦ 2 6 | 1 12 3 6 | 0 6 6 12 0 3 2 | 0 0 0 3 6 0 6 4 0 0 0 1 | 0 0 0 0 3 2 0 0 2 0 0 0 0 | * * * * 24 * * * * * | 0 2 0 0 0
.. oo3ox *b3oo ox ..&#x ♦ 1 8 | 0 8 12 4 | 0 0 12 4 8 6 0 | 0 0 0 0 0 8 6 0 0 2 4 0 | 0 0 0 0 0 0 2 4 0 0 0 1 0 | * * * * * 24 * * * * | 1 0 0 1 0
.. oo3ox .. ox3oo&#x ♦ 1 9 | 0 9 9 9 | 0 0 9 9 3 9 3 | 0 0 0 0 0 3 9 3 0 0 3 3 | 0 0 0 0 0 0 0 3 3 0 0 0 1 | * * * * * * 32 * * * | 0 1 0 1 0
.o3.o3.x *b3.o .x .. ♦ 0 16 | 0 0 48 8 | 0 0 0 0 64 24 0 | 0 0 0 0 0 0 0 0 16 16 32 0 | 0 0 0 0 0 0 0 0 0 2 8 8 0 | * * * * * * * 3 * * | 1 0 0 0 1
.o3.o3.x .. .x3.o ♦ 0 12 | 0 0 18 12 | 0 0 0 0 12 18 4 | 0 0 0 0 0 0 0 0 3 0 12 6 | 0 0 0 0 0 0 0 0 0 0 3 0 4 | * * * * * * * * 8 * | 0 1 0 0 1
.. .o3.x *b3.o .x3.o ♦ 0 12 | 0 0 18 12 | 0 0 0 0 12 18 4 | 0 0 0 0 0 0 0 0 0 3 12 6 | 0 0 0 0 0 0 0 0 0 0 0 3 4 | * * * * * * * * * 8 | 0 0 0 1 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
xo3oo3ox *b3oo ox ..&#x ♦ 8 16 | 24 64 48 8 | 32 96 96 32 64 24 0 | 8 8 64 48 48 64 48 0 16 16 32 0 | 1 16 16 32 24 0 16 32 0 2 8 8 0 | 2 8 8 0 0 8 0 1 0 0 | 3 * * * *
xo3oo3ox .. ox3oo&#x ♦ 4 12 | 6 36 18 12 | 4 36 36 36 12 18 4 | 1 0 12 18 36 12 36 12 3 0 12 6 | 0 3 0 12 18 12 0 12 12 0 3 0 4 | 0 3 0 4 6 0 4 0 1 0 | * 8 * * *
xo3oo .. *b3oo ox3oo&#x ♦ 4 3 | 6 12 0 3 | 4 18 0 12 0 0 1 | 0 1 12 0 18 0 0 4 0 0 0 0 | 0 0 3 12 0 6 0 0 0 0 0 0 0 | 0 0 3 4 0 0 0 0 0 0 | * * 8 * *
.. oo3ox *b3oo ox3oo&#x ♦ 1 12 | 0 12 18 12 | 0 0 18 12 12 18 4 | 0 0 0 0 0 12 18 4 0 3 12 6 | 0 0 0 0 0 0 3 12 6 0 0 3 4 | 0 0 0 0 0 3 4 0 0 1 | * * * 8 *
.o3.o3.x *b3.o .x3.o ♦ 0 24 | 0 0 72 24 | 0 0 0 0 96 72 8 | 0 0 0 0 0 0 0 0 24 24 96 24 | 0 0 0 0 0 0 0 0 0 3 24 24 32 | 0 0 0 0 0 0 0 3 8 8 | * * * * 1
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