Acronym garx
Name great rhombated hexateron,
cantitruncated hexateron
Field of sections
 ©
Circumradius 2
Vertex figure
 ©    ©
External
links
hedrondude   wikipedia

Incidence matrix according to Dynkin symbol

x3x3x3o3o

. . . . . | 120 |  1  1   3 |  1  3  3   3 |  3  3  3  1 | 3  1 1
----------+-----+-----------+--------------+-------------+-------
x . . . . |   2 | 60  *   * |  1  3  0   0 |  3  3  0  0 | 3  1 0
. x . . . |   2 |  * 60   * |  1  0  3   0 |  3  0  3  0 | 3  0 1
. . x . . |   2 |  *  * 180 |  0  1  1   2 |  1  2  2  1 | 2  1 1
----------+-----+-----------+--------------+-------------+-------
x3x . . . |   6 |  3  3   0 | 20  *  *   * |  3  0  0  0 | 3  0 0
x . x . . |   4 |  2  0   2 |  * 90  *   * |  1  2  0  0 | 2  1 0
. x3x . . |   6 |  0  3   3 |  *  * 60   * |  1  0  2  0 | 2  0 1
. . x3o . |   3 |  0  0   3 |  *  *  * 120 |  0  1  1  1 | 1  1 1
----------+-----+-----------+--------------+-------------+-------
x3x3x . .   24 | 12 12  12 |  4  6  4   0 | 15  *  *  * | 2  0 0
x . x3o .    6 |  3  0   6 |  0  3  0   2 |  * 60  *  * | 1  1 0
. x3x3o .   12 |  0  6  12 |  0  0  4   4 |  *  * 30  * | 1  0 1
. . x3o3o    4 |  0  0   6 |  0  0  0   4 |  *  *  * 30 | 0  1 1
----------+-----+-----------+--------------+-------------+-------
x3x3x3o .   60 | 30 30  60 | 10 30 20  20 |  5 10  5  0 | 6  * *
x . x3o3o    8 |  4  0  12 |  0  6  0   8 |  0  4  0  2 | * 15 *
. x3x3o3o   20 |  0 10  30 |  0  0 10  20 |  0  0  5  5 | *  * 6

x3x3x3o3/2o

. . . .   . | 120 |  1  1   3 |  1  3  3   3 |  3  3  3  1 | 3  1 1
------------+-----+-----------+--------------+-------------+-------
x . . .   . |   2 | 60  *   * |  1  3  0   0 |  3  3  0  0 | 3  1 0
. x . .   . |   2 |  * 60   * |  1  0  3   0 |  3  0  3  0 | 3  0 1
. . x .   . |   2 |  *  * 180 |  0  1  1   2 |  1  2  2  1 | 2  1 1
------------+-----+-----------+--------------+-------------+-------
x3x . .   . |   6 |  3  3   0 | 20  *  *   * |  3  0  0  0 | 3  0 0
x . x .   . |   4 |  2  0   2 |  * 90  *   * |  1  2  0  0 | 2  1 0
. x3x .   . |   6 |  0  3   3 |  *  * 60   * |  1  0  2  0 | 2  0 1
. . x3o   . |   3 |  0  0   3 |  *  *  * 120 |  0  1  1  1 | 1  1 1
------------+-----+-----------+--------------+-------------+-------
x3x3x .   .   24 | 12 12  12 |  4  6  4   0 | 15  *  *  * | 2  0 0
x . x3o   .    6 |  3  0   6 |  0  3  0   2 |  * 60  *  * | 1  1 0
. x3x3o   .   12 |  0  6  12 |  0  0  4   4 |  *  * 30  * | 1  0 1
. . x3o3/2o    4 |  0  0   6 |  0  0  0   4 |  *  *  * 30 | 0  1 1
------------+-----+-----------+--------------+-------------+-------
x3x3x3o   .   60 | 30 30  60 | 10 30 20  20 |  5 10  5  0 | 6  * *
x . x3o3/2o    8 |  4  0  12 |  0  6  0   8 |  0  4  0  2 | * 15 *
. x3x3o3/2o   20 |  0 10  30 |  0  0 10  20 |  0  0  5  5 | *  * 6

xuxx3xxux3ooox3oooo&#xt   → all heights = sqrt(3/5) = 0.774597
(tip || pseudo (u,x)-tip || pseudo (x,u)-tip || grip)

o...3o...3o...3o...     | 20  *  *  * |  1  3  1  0  0  0  0  0  0  0 |  3  3  3  1  0  0  0  0  0  0  0  0 | 3 1  3  3 0  0  0  0 0  0 0 | 1 1 3 0  0 0
.o..3.o..3.o..3.o..     |  * 20  *  * |  0  0  1  3  1  0  0  0  0  0 |  0  0  3  1  3  3  0  0  0  0  0  0 | 0 0  3  3 1  3  0  0 0  0 0 | 0 1 3 1  0 0
..o.3..o.3..o.3..o.     |  *  * 20  * |  0  0  0  0  1  1  3  0  0  0 |  0  0  0  1  0  3  3  3  0  0  0  0 | 0 0  0  3 0  3  3  1 0  0 0 | 0 0 3 1  1 0
...o3...o3...o3...o     |  *  *  * 60 |  0  0  0  0  0  0  1  1  1  2 |  0  0  0  0  0  1  1  2  1  2  2  1 | 0 0  0  1 0  2  2  1 2  1 1 | 0 0 2 1  1 1
------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+-------------
x... .... .... ....     |  2  0  0  0 | 10  *  *  *  *  *  *  *  *  * |  3  0  0  1  0  0  0  0  0  0  0  0 | 3 0  0  3 0  0  0  0 0  0 0 | 1 0 3 0  0 0
.... x... .... ....     |  2  0  0  0 |  * 30  *  *  *  *  *  *  *  * |  1  2  1  0  0  0  0  0  0  0  0  0 | 2 1  2  1 0  0  0  0 0  0 0 | 1 1 2 0  0 0
oo..3oo..3oo..3oo..&#x  |  1  1  0  0 |  *  * 20  *  *  *  *  *  *  * |  0  0  3  1  0  0  0  0  0  0  0  0 | 0 0  3  3 0  0  0  0 0  0 0 | 0 1 3 0  0 0
.... .x.. .... ....     |  0  2  0  0 |  *  *  * 30  *  *  *  *  *  * |  0  0  1  0  2  1  0  0  0  0  0  0 | 0 0  2  1 1  3  0  0 0  0 0 | 0 1 2 1  0 0
.oo.3.oo.3.oo.3.oo.&#x  |  0  1  1  0 |  *  *  *  * 20  *  *  *  *  * |  0  0  0  1  0  3  0  0  0  0  0  0 | 0 0  0  3 0  3  0  0 0  0 0 | 0 0 3 1  0 0
..x. .... .... ....     |  0  0  2  0 |  *  *  *  *  * 10  *  *  *  * |  0  0  0  1  0  0  3  0  0  0  0  0 | 0 0  0  3 0  0  3  0 0  0 0 | 0 0 3 0  1 0
..oo3..oo3..oo3..oo&#x  |  0  0  1  1 |  *  *  *  *  *  * 60  *  *  * |  0  0  0  0  0  1  1  2  0  0  0  0 | 0 0  0  1 0  2  2  1 0  0 0 | 0 0 2 1  1 0
...x .... .... ....     |  0  0  0  2 |  *  *  *  *  *  *  * 30  *  * |  0  0  0  0  0  0  1  0  1  2  0  0 | 0 0  0  1 0  0  2  0 2  1 0 | 0 0 2 0  1 1
.... ...x .... ....     |  0  0  0  2 |  *  *  *  *  *  *  *  * 30  * |  0  0  0  0  0  1  0  0  1  0  2  0 | 0 0  0  1 0  2  0  0 2  0 1 | 0 0 2 1  0 1
.... .... ...x ....     |  0  0  0  2 |  *  *  *  *  *  *  *  *  * 60 |  0  0  0  0  0  0  0  1  0  1  1  1 | 0 0  0  0 0  1  1  1 1  1 1 | 0 0 1 1  1 1
------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+-------------
x...3x... .... ....     |  6  0  0  0 |  3  3  0  0  0  0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  *  * | 2 0  0  1 0  0  0  0 0  0 0 | 1 0 2 0  0 0
.... x...3o... ....     |  3  0  0  0 |  0  3  0  0  0  0  0  0  0  0 |  * 20  *  *  *  *  *  *  *  *  *  * | 1 1  1  0 0  0  0  0 0  0 0 | 1 1 1 0  0 0
.... xx.. .... ....&#x  |  2  2  0  0 |  0  1  2  1  0  0  0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  * | 0 0  2  1 0  0  0  0 0  0 0 | 0 1 2 0  0 0
xux. .... .... ....&#xt |  2  2  2  0 |  1  0  2  0  2  1  0  0  0  0 |  *  *  * 10  *  *  *  *  *  *  *  * | 0 0  0  3 0  0  0  0 0  0 0 | 0 0 3 0  0 0
.... .x..3.o.. ....     |  0  3  0  0 |  0  0  0  3  0  0  0  0  0  0 |  *  *  *  * 20  *  *  *  *  *  *  * | 0 0  1  0 1  1  0  0 0  0 0 | 0 1 1 1  0 0
.... .xux .... ....&#xt |  0  2  2  2 |  0  0  0  1  2  0  2  0  1  0 |  *  *  *  *  * 30  *  *  *  *  *  * | 0 0  0  1 0  2  0  0 0  0 0 | 0 0 2 1  0 0
..xx .... .... ....&#x  |  0  0  2  2 |  0  0  0  0  0  1  2  1  0  0 |  *  *  *  *  *  * 30  *  *  *  *  * | 0 0  0  1 0  0  2  0 0  0 0 | 0 0 2 0  1 0
.... .... ..ox ....&#x  |  0  0  1  2 |  0  0  0  0  0  0  2  0  0  1 |  *  *  *  *  *  *  * 60  *  *  *  * | 0 0  0  0 0  1  1  1 0  0 0 | 0 0 1 1  1 0
...x3...x .... ....     |  0  0  0  6 |  0  0  0  0  0  0  0  3  3  0 |  *  *  *  *  *  *  *  * 10  *  *  * | 0 0  0  1 0  0  0  0 2  0 0 | 0 0 2 0  0 1
...x .... ...x ....     |  0  0  0  4 |  0  0  0  0  0  0  0  2  0  2 |  *  *  *  *  *  *  *  *  * 30  *  * | 0 0  0  0 0  0  1  0 1  1 0 | 0 0 1 0  1 1
.... ...x3...x ....     |  0  0  0  6 |  0  0  0  0  0  0  0  0  3  3 |  *  *  *  *  *  *  *  *  *  * 20  * | 0 0  0  0 0  1  0  0 1  0 1 | 0 0 1 1  0 1
.... .... ...x3...o     |  0  0  0  3 |  0  0  0  0  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  * 20 | 0 0  0  0 0  0  0  1 0  1 1 | 0 0 0 1  1 1
------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+-------------
x...3x...3o... ....      12  0  0  0 |  6 12  0  0  0  0  0  0  0  0 |  4  4  0  0  0  0  0  0  0  0  0  0 | 5 *  *  * *  *  *  * *  * * | 1 0 1 0  0 0
.... x...3o...3o...       4  0  0  0 |  0  6  0  0  0  0  0  0  0  0 |  0  4  0  0  0  0  0  0  0  0  0  0 | * 5  *  * *  *  *  * *  * * | 1 1 0 0  0 0
.... xx..3oo.. ....&#x    3  3  0  0 |  0  3  3  3  0  0  0  0  0  0 |  0  1  3  0  1  0  0  0  0  0  0  0 | * * 20  * *  *  *  * *  * * | 0 1 1 0  0 0
xuxx3xxux .... ....&#xt   6  6  6  6 |  3  3  6  3  6  3  6  3  3  0 |  1  0  3  3  0  3  3  0  1  0  0  0 | * *  * 10 *  *  *  * *  * * | 0 0 2 0  0 0
.... .x..3.o..3.o..       0  4  0  0 |  0  0  0  6  0  0  0  0  0  0 |  0  0  0  0  4  0  0  0  0  0  0  0 | * *  *  * 5  *  *  * *  * * | 0 1 0 1  0 0
.... .xux3.oox ....&#xt   0  3  3  6 |  0  0  0  3  3  0  6  0  3  3 |  0  0  0  0  1  3  0  3  0  0  1  0 | * *  *  * * 20  *  * *  * * | 0 0 1 1  0 0
..xx .... ..ox ....&#x    0  0  2  4 |  0  0  0  0  0  1  4  2  0  2 |  0  0  0  0  0  0  2  2  0  1  0  0 | * *  *  * *  * 30  * *  * * | 0 0 1 0  1 0
.... .... ..ox3..oo&#x    0  0  1  3 |  0  0  0  0  0  0  3  0  0  3 |  0  0  0  0  0  0  0  3  0  0  0  1 | * *  *  * *  *  * 20 *  * * | 0 0 0 1  1 0
...x3...x3...x ....       0  0  0 24 |  0  0  0  0  0  0  0 12 12 12 |  0  0  0  0  0  0  0  0  4  6  4  0 | * *  *  * *  *  *  * 5  * * | 0 0 1 0  0 1
...x .... ...x3...o       0  0  0  6 |  0  0  0  0  0  0  0  3  0  6 |  0  0  0  0  0  0  0  0  0  3  0  2 | * *  *  * *  *  *  * * 10 * | 0 0 0 0  1 1
.... ...x3...x3...o       0  0  0 12 |  0  0  0  0  0  0  0  0  6 12 |  0  0  0  0  0  0  0  0  0  0  4  4 | * *  *  * *  *  *  * *  * 5 | 0 0 0 1  0 1
------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+-------------
x...3x...3o...3o...      20  0  0  0 | 10 30  0  0  0  0  0  0  0  0 | 10 20  0  0  0  0  0  0  0  0  0  0 | 5 5  0  0 0  0  0  0 0  0 0 | 1 * * *  * *
.... xx..3oo..3oo..&#x    4  4  0  0 |  0  6  4  6  0  0  0  0  0  0 |  0  4  6  0  4  0  0  0  0  0  0  0 | 0 1  4  0 1  0  0  0 0  0 0 | * 5 * *  * *
xuxx3xxux3ooox ....&#xt  12 12 12 24 |  6 12 12 12 12  6 24 12 12 12 |  4  4 12  6  4 12 12 12  4  6  4  0 | 1 0  4  4 0  4  6  0 1  0 0 | * * 5 *  * *
.... .xux3.oox3.ooo&#xt   0  4  4 12 |  0  0  0  6  4  0 12  0  6 12 |  0  0  0  0  4  6  0 12  0  0  4  4 | 0 0  0  0 1  4  0  4 0  0 1 | * * * 5  * *
..xx .... ..ox3..oo&#x    0  0  2  6 |  0  0  0  0  0  1  6  3  0  6 |  0  0  0  0  0  0  3  6  0  3  0  2 | 0 0  0  0 0  0  3  2 0  1 0 | * * * * 10 *
...x3...x3...x3...o       0  0  0 60 |  0  0  0  0  0  0  0 30 30 60 |  0  0  0  0  0  0  0  0 10 30 20 20 | 0 0  0  0 0  0  0  0 5 10 5 | * * * *  * 1

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