Acronym otut
Name octagon - truncated-tetrahedron duoprism
Circumradius sqrt[(19+4 sqrt(2))/8] = 1.755593
Confer n-tut-dip  

Incidence matrix according to Dynkin symbol

x8o x3x3o  

. . . . . | 96 |  2  1  2 |  1  2  4  2  1 | 1  2  4  2 1 | 2 1 2
----------+----+----------+----------------+--------------+------
x . . . . |  2 | 96  *  * |  1  1  2  0  0 | 1  2  2  1 0 | 2 1 1
. . x . . |  2 |  * 48  * |  0  2  0  2  0 | 1  0  4  0 1 | 2 0 2
. . . x . |  2 |  *  * 96 |  0  0  2  1  1 | 0  1  2  2 1 | 1 1 2
----------+----+----------+----------------+--------------+------
x8o . . . |  8 |  8  0  0 | 12  *  *  *  * | 1  2  0  0 0 | 2 1 0
x . x . . |  4 |  2  2  0 |  * 48  *  *  * | 1  0  2  0 0 | 2 0 1
x . . x . |  4 |  2  0  2 |  *  * 96  *  * | 0  1  1  1 0 | 1 1 1
. . x3x . |  6 |  0  3  3 |  *  *  * 32  * | 0  0  2  0 1 | 1 0 2
. . . x3o |  3 |  0  0  3 |  *  *  *  * 32 | 0  0  0  2 1 | 0 1 2
----------+----+----------+----------------+--------------+------
x8o x . .  16 | 16  8  0 |  2  8  0  0  0 | 6  *  *  * * | 2 0 0
x8o . x .  16 | 16  0  8 |  2  0  8  0  0 | * 12  *  * * | 1 1 0
x . x3x .  12 |  6  6  6 |  0  3  3  2  0 | *  * 32  * * | 1 0 1
x . . x3o   6 |  3  0  6 |  0  0  3  0  2 | *  *  * 32 * | 0 1 1
. . x3x3o  12 |  0  6 12 |  0  0  0  4  4 | *  *  *  * 8 | 0 0 2
----------+----+----------+----------------+--------------+------
x8o x3x .  48 | 48 24 24 |  6 24 24  8  0 | 3  3  8  0 0 | 4 * *
x8o . x3o  24 | 24  0 24 |  3  0 24  0  8 | 0  3  0  8 0 | * 4 *
x . x3x3o  24 | 12 12 24 |  0  6 12  8  8 | 0  0  4  4 2 | * * 8

x4x x3x3o

. . . . . | 96 |  1  1  1  2 |  1  1  2  1  2  2  1 | 1  2  2  1  2  1 1 | 2 1 1 1
----------+----+-------------+----------------------+--------------------+--------
x . . . . |  2 | 48  *  *  * |  1  1  2  0  0  0  0 | 1  2  2  1  0  0 0 | 2 1 1 0
. x . . . |  2 |  * 48  *  * |  1  0  0  1  2  0  0 | 1  2  0  0  2  1 0 | 2 1 0 1
. . x . . |  2 |  *  * 48  * |  0  1  0  1  0  2  0 | 1  0  2  0  2  0 1 | 2 0 1 1
. . . x . |  2 |  *  *  * 96 |  0  0  1  0  1  1  1 | 0  1  1  1  1  1 1 | 1 1 1 1
----------+----+-------------+----------------------+--------------------+--------
x4x . . . |  8 |  4  4  0  0 | 12  *  *  *  *  *  * | 1  2  0  0  0  0 0 | 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 24  *  *  *  *  * | 1  0  2  0  0  0 0 | 2 0 1 0
x . . x . |  4 |  2  0  0  2 |  *  * 48  *  *  *  * | 0  1  1  1  0  0 0 | 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 24  *  *  * | 1  0  0  0  2  0 0 | 2 0 0 1
. x . x . |  4 |  0  2  0  2 |  *  *  *  * 48  *  * | 0  1  0  0  1  1 0 | 1 1 0 1
. . x3x . |  6 |  0  0  3  3 |  *  *  *  *  * 32  * | 0  0  1  0  1  0 1 | 1 0 1 1
. . . x3o |  3 |  0  0  0  3 |  *  *  *  *  *  * 32 | 0  0  0  1  0  1 1 | 0 1 1 1
----------+----+-------------+----------------------+--------------------+--------
x4x x . .  16 |  8  8  8  0 |  2  4  0  4  0  0  0 | 6  *  *  *  *  * * | 2 0 0 0
x4x . x .  16 |  8  8  0  8 |  2  0  4  0  4  0  0 | * 12  *  *  *  * * | 1 1 0 0
x . x3x .  12 |  6  0  6  6 |  0  3  3  0  0  2  0 | *  * 16  *  *  * * | 1 0 1 0
x . . x3o   6 |  3  0  0  6 |  0  0  3  0  0  0  2 | *  *  * 16  *  * * | 0 1 1 0
. x x3x .  12 |  0  6  6  6 |  0  0  0  3  3  2  0 | *  *  *  * 16  * * | 1 0 0 1
. x . x3o   6 |  0  3  0  6 |  0  0  0  0  3  0  2 | *  *  *  *  * 16 * | 0 1 0 1
. . x3x3o  12 |  0  0  6 12 |  0  0  0  0  0  4  4 | *  *  *  *  *  * 8 | 0 0 1 1
----------+----+-------------+----------------------+--------------------+--------
x4x x3x .  48 | 24 24 24 24 |  6 12 12 12 12  8  0 | 3  3  4  0  4  0 0 | 4 * * *
x4x . x3o  24 | 12 12  0 24 |  3  0 12  0 12  0  8 | 0  3  0  4  0  4 0 | * 4 * *
x . x3x3o  24 | 12  0 12 24 |  0  6 12  0  0  8  8 | 0  0  4  4  0  0 2 | * * 4 *
. x x3x3o  24 |  0 12 12 24 |  0  0  0  6 12  8  8 | 0  0  0  0  4  4 2 | * * * 4

© 2004-2019
top of page