Acronym ...
Name ico+gico+72{4} (?)
Circumradius 1
General of army ico
Colonel of regiment ico
Confer ico   gico   ico+gico+24co   2ico+2gico  

Looks like a compound of an icositetrachoron (ico) with the compound of 3 vertex-inscribed tesseracts (tes, i.e. the great icositetrachoron, gico). But the squares all are doubled up to completely coincident pairs. Even so, the cubes are not doubled up.


Incidence matrix according to Dynkin symbol

β3o4o3o

both( . . . . ) | 24 |  24 | 12  24 |  6  8
----------------+----+-----+--------+------
sefa( β3o . . ) |  2 | 288 |  1   2 |  2  1
----------------+----+-----+--------+------
      β3o . .     3 |   3 | 96   * |  2  0
sefa( β3o4o . ) |  4 |   4 |  * 144 |  1  1
----------------+----+-----+--------+------
      β3o4o .     6 |  24 |  8   6 | 24  *
sefa( β3o4o3o )   8 |  12 |  0   6 |  * 24

starting figure: x3o4o3o

o3β3o4o

both( . . . . ) | 24 |  8  16 |  4  8 16  8 |  4 2  8
----------------+----+--------+-------------+--------
sefa( o3β . . ) |  2 | 96   * |  1  0  2  0 |  2 0  1
sefa( . β3o . ) |  2 |  * 192 |  0  1  1  1 |  1 1  1
----------------+----+--------+-------------+--------
      o3β . .     3 |  3   0 | 32  *  *  * |  2 0  0
      . β3o .     3 |  0   3 |  * 64  *  * |  1 1  0
sefa( o3β3o . ) |  4 |  2   2 |  *  * 96  * |  1 0  1
sefa( . β3o4o ) |  4 |  0   4 |  *  *  * 48 |  0 1  1
----------------+----+--------+-------------+--------
      o3β3o .     6 | 12  12 |  4  4  6  0 | 16 *  *
      . β3o4o     6 |  0  24 |  0  8  0  6 |  * 8  *
sefa( o3β3o4o )   8 |  4   8 |  0  0  4  2 |  * * 24

starting figure: o3x3o4o

o3β3o *b3o

both( . . .    . ) | 24 |  8  8  8 |  4  4  4  8  8  8 | 2 2 2  8
-------------------+----+----------+-------------------+---------
sefa( o3β .    . ) |  2 | 96  *  * |  1  0  0  1  1  0 | 1 1 0  1
sefa( . β3o    . ) |  2 |  * 96  * |  0  1  0  1  0  1 | 1 0 1  1
sefa( . β . *b3o ) |  2 |  *  * 96 |  0  0  1  0  1  1 | 0 1 1  1
-------------------+----+----------+-------------------+---------
      o3β .    .     3 |  3  0  0 | 32  *  *  *  *  * | 1 1 0  0
      . β3o    .     3 |  0  3  0 |  * 32  *  *  *  * | 1 0 1  0
      . β . *b3o     3 |  0  0  3 |  *  * 32  *  *  * | 0 1 1  0
sefa( o3β3o    . ) |  4 |  2  2  0 |  *  *  * 48  *  * | 1 0 0  1
sefa( o3β . *b3o ) |  4 |  2  0  2 |  *  *  *  * 48  * | 0 1 0  1
sefa( . β3o *b3o ) |  4 |  0  2  2 |  *  *  *  *  * 48 | 0 0 1  1
-------------------+----+----------+-------------------+---------
      o3β3o    .     6 | 12 12  0 |  4  4  0  6  0  0 | 8 * *  *
      o3β . *b3o     6 | 12  0 12 |  4  0  4  0  6  0 | * 8 *  *
      . β3o *b3o     6 |  0 12 12 |  0  4  4  0  0  6 | * * 8  *
sefa( o3β3o *b3o )   8 |  4  4  4 |  0  0  0  2  2  2 | * * * 24

starting figure: o3x3o *b3o

© 2004-2019
top of page