Acronym squagirco
Name square great-rhombicuboctahedron duoprism
Circumradius sqrt[15+6 sqrt(2)]/2 = 2.423081
Confer
more general:
n,girco-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x4o x3x4x

. . . . . | 192 |   2  1  1  1 |  1  2  2  2  1  1  1 |  1  1  1  2  2  2 1 | 1  1 1 2
----------+-----+--------------+----------------------+---------------------+---------
x . . . . |   2 | 192  *  *  * |  1  1  1  1  0  0  0 |  1  1  1  1  1  1 0 | 1  1 1 1
. . x . . |   2 |   * 96  *  * |  0  2  0  0  1  1  0 |  1  0  0  2  2  0 1 | 1  1 0 2
. . . x . |   2 |   *  * 96  * |  0  0  2  0  1  0  1 |  0  1  0  2  0  2 1 | 1  0 1 2
. . . . x |   2 |   *  *  * 96 |  0  0  0  2  0  1  1 |  0  0  1  0  2  2 1 | 0  1 1 2
----------+-----+--------------+----------------------+---------------------+---------
x4o . . . |   4 |   4  0  0  0 | 48  *  *  *  *  *  * |  1  1  1  0  0  0 0 | 1  1 1 0
x . x . . |   4 |   2  2  0  0 |  * 96  *  *  *  *  * |  1  0  0  1  1  0 0 | 1  1 0 1
x . . x . |   4 |   2  0  2  0 |  *  * 96  *  *  *  * |  0  1  0  1  0  1 0 | 1  0 1 1
x . . . x |   4 |   2  0  0  2 |  *  *  * 96  *  *  * |  0  0  1  0  1  1 0 | 0  1 1 1
. . x3x . |   6 |   0  3  3  0 |  *  *  *  * 32  *  * |  0  0  0  2  0  0 1 | 1  0 0 2
. . x . x |   4 |   0  2  0  2 |  *  *  *  *  * 48  * |  0  0  0  0  2  0 1 | 0  1 0 2
. . . x4x |   8 |   0  0  4  4 |  *  *  *  *  *  * 24 |  0  0  0  0  0  2 1 | 0  0 1 2
----------+-----+--------------+----------------------+---------------------+---------
x4o x . .    8 |   8  4  0  0 |  2  4  0  0  0  0  0 | 24  *  *  *  *  * * | 1  1 0 0
x4o . x .    8 |   8  0  4  0 |  2  0  4  0  0  0  0 |  * 24  *  *  *  * * | 1  0 1 0
x4o . . x    8 |   8  0  0  4 |  2  0  0  4  0  0  0 |  *  * 24  *  *  * * | 0  1 1 0
x . x3x .   12 |   6  6  6  0 |  0  3  3  0  2  0  0 |  *  *  * 32  *  * * | 1  0 0 1
x . x . x    8 |   4  4  0  4 |  0  2  0  2  0  2  0 |  *  *  *  * 48  * * | 0  1 0 1
x . . x4x   16 |   8  0  8  8 |  0  0  4  4  0  0  2 |  *  *  *  *  * 24 * | 0  0 1 1
. . x3x4x   48 |   0 24 24 24 |  0  0  0  0  8 12  6 |  *  *  *  *  *  * 4 | 0  0 0 2
----------+-----+--------------+----------------------+---------------------+---------
x4o x3x .   24 |  24 12 12  0 |  6 12 12  0  4  0  0 |  3  3  0  4  0  0 0 | 8  * * *
x4o x . x   16 |  16  8  0  8 |  4  8  0  8  0  4  0 |  2  0  2  0  4  0 0 | * 12 * *
x4o . x4x   32 |  32  0 16 16 |  8  0 16 16  0  0  4 |  0  4  4  0  0  4 0 | *  * 6 *
x . x3x4x   96 |  48 48 48 48 |  0 24 24 24 16 24 12 |  0  0  0  8 12  6 2 | *  * * 4

snubbed forms: x4o s3s4s

x x x3x4x

. . . . . | 192 |  1  1  1  1  1 |  1  1  1  1  1  1  1  1  1  1 |  1  1  1  1  1  1  1  1  1 1 | 1  1 1 1 1
----------+-----+----------------+-------------------------------+------------------------------+-----------
x . . . . |   2 | 96  *  *  *  * |  1  1  1  1  0  0  0  0  0  0 |  1  1  1  1  1  1  0  0  0 0 | 1  1 1 1 0
. x . . . |   2 |  * 96  *  *  * |  1  0  0  0  1  1  1  0  0  0 |  1  1  1  0  0  0  1  1  1 0 | 1  1 1 0 1
. . x . . |   2 |  *  * 96  *  * |  0  1  0  0  1  0  0  1  1  0 |  1  0  0  1  1  0  1  1  0 1 | 1  1 0 1 1
. . . x . |   2 |  *  *  * 96  * |  0  0  1  0  0  1  0  1  0  1 |  0  1  0  1  0  1  1  0  1 1 | 1  0 1 1 1
. . . . x |   2 |  *  *  *  * 96 |  0  0  0  1  0  0  1  0  1  1 |  0  0  1  0  1  1  0  1  1 1 | 0  1 1 1 1
----------+-----+----------------+-------------------------------+------------------------------+-----------
x x . . . |   4 |  2  2  0  0  0 | 48  *  *  *  *  *  *  *  *  * |  1  1  1  0  0  0  0  0  0 0 | 1  1 1 0 0
x . x . . |   4 |  2  0  2  0  0 |  * 48  *  *  *  *  *  *  *  * |  1  0  0  1  1  0  0  0  0 0 | 1  1 0 1 0
x . . x . |   4 |  2  0  0  2  0 |  *  * 48  *  *  *  *  *  *  * |  0  1  0  1  0  1  0  0  0 0 | 1  0 1 1 0
x . . . x |   4 |  2  0  0  0  2 |  *  *  * 48  *  *  *  *  *  * |  0  0  1  0  1  1  0  0  0 0 | 0  1 1 1 0
. x x . . |   4 |  0  2  2  0  0 |  *  *  *  * 48  *  *  *  *  * |  1  0  0  0  0  0  1  1  0 0 | 1  1 0 0 1
. x . x . |   4 |  0  2  0  2  0 |  *  *  *  *  * 48  *  *  *  * |  0  1  0  0  0  0  1  0  1 0 | 1  0 1 0 1
. x . . x |   4 |  0  2  0  0  2 |  *  *  *  *  *  * 48  *  *  * |  0  0  1  0  0  0  0  1  1 0 | 0  1 1 0 1
. . x3x . |   6 |  0  0  3  3  0 |  *  *  *  *  *  *  * 32  *  * |  0  0  0  1  0  0  1  0  0 1 | 1  0 0 1 1
. . x . x |   4 |  0  0  2  0  2 |  *  *  *  *  *  *  *  * 48  * |  0  0  0  0  1  0  0  1  0 1 | 0  1 0 1 1
. . . x4x |   8 |  0  0  0  4  4 |  *  *  *  *  *  *  *  *  * 24 |  0  0  0  0  0  1  0  0  1 1 | 0  0 1 1 1
----------+-----+----------------+-------------------------------+------------------------------+-----------
x x x . .    8 |  4  4  4  0  0 |  2  2  0  0  2  0  0  0  0  0 | 24  *  *  *  *  *  *  *  * * | 1  1 0 0 0
x x . x .    8 |  4  4  0  4  0 |  2  0  2  0  0  2  0  0  0  0 |  * 24  *  *  *  *  *  *  * * | 1  0 1 0 0
x x . . x    8 |  4  4  0  0  4 |  2  0  0  2  0  0  2  0  0  0 |  *  * 24  *  *  *  *  *  * * | 0  1 1 0 0
x . x3x .   12 |  6  0  6  6  0 |  0  3  3  0  0  0  0  2  0  0 |  *  *  * 16  *  *  *  *  * * | 1  0 0 1 0
x . x . x    8 |  4  0  4  0  4 |  0  2  0  2  0  0  0  0  2  0 |  *  *  *  * 24  *  *  *  * * | 0  1 0 1 0
x . . x4x   16 |  8  0  0  8  8 |  0  0  4  4  0  0  0  0  0  2 |  *  *  *  *  * 12  *  *  * * | 0  0 1 1 0
. x x3x .   12 |  0  6  6  6  0 |  0  0  0  0  3  3  0  2  0  0 |  *  *  *  *  *  * 16  *  * * | 1  0 0 0 1
. x x . x    8 |  0  4  4  0  4 |  0  0  0  0  2  0  2  0  2  0 |  *  *  *  *  *  *  * 24  * * | 0  1 0 0 1
. x . x4x   16 |  0  8  0  8  8 |  0  0  0  0  0  4  4  0  0  2 |  *  *  *  *  *  *  *  * 12 * | 0  0 1 0 1
. . x3x4x   48 |  0  0 24 24 24 |  0  0  0  0  0  0  0  8 12  6 |  *  *  *  *  *  *  *  *  * 4 | 0  0 0 1 1
----------+-----+----------------+-------------------------------+------------------------------+-----------
x x x3x .   24 | 12 12 12 12  0 |  6  6  6  0  6  6  0  4  0  0 |  3  3  0  2  0  0  2  0  0 0 | 8  * * * *
x x x . x   16 |  8  8  8  0  8 |  4  4  0  4  4  0  4  0  4  0 |  2  0  2  0  2  0  0  2  0 0 | * 12 * * *
x x . x4x   32 | 16 16  0 16 16 |  8  0  8  8  0  8  8  0  0  4 |  0  4  4  0  0  2  0  0  2 0 | *  * 6 * *
x . x3x4x   96 | 48  0 48 48 48 |  0 24 24 24  0  0  0 16 24 12 |  0  0  0  8 12  6  0  0  0 2 | *  * * 2 *
. x x3x4x   96 |  0 48 48 48 48 |  0  0  0  0 24 24 24 16 24 12 |  0  0  0  0  0  0  8 12  6 2 | *  * * * 2

snubbed forms: x x s3s4s

© 2004-2019
top of page