Acronym ...
Name x3o3β4o (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3o3β4o

both( . . . . ) | 96 |  2  2   4 |  1  2  2  4  4 |  2 1  4
----------------+----+-----------+----------------+--------
both( x . . . ) |  2 | 96  *   * |  1  1  0  2  0 |  2 0  2
both( . . s4o ) |  2 |  * 96   * |  0  1  0  0  2 |  0 1  2
sefa( . o3β . ) |  2 |  *  * 192 |  0  0  1  1  1 |  1 1  1
----------------+----+-----------+----------------+--------
both( x3o . . ) |  3 |  3  0   0 | 32  *  *  *  * |  2 0  0
both( x 2 s4o ) |  4 |  2  2   0 |  * 48  *  *  * |  0 0  2
      . o3β .     3 |  0  0   3 |  *  * 64  *  * |  1 1  0
sefa( x3o3β . ) |  6 |  3  0   3 |  *  *  * 64  * |  1 0  1
sefa( . o3β4o ) |  4 |  0  2   2 |  *  *  *  * 96 |  0 1  1
----------------+----+-----------+----------------+--------
      x3o3β .    12 | 12  0  12 |  4  0  4  4  0 | 16 *  *
      . o3β4o    12 |  0 12  24 |  0  0  8  0 12 |  * 8  *
sefa( x3o3β4o )  12 |  6  6   6 |  0  3  0  2  3 |  * * 32

starting figure: x3o3x4o

β3o3β *b3x

both( . . .    . ) | 96 |  2  2  2  2 |  1  1  1  2  4  2  2 | 1 1 1  4
-------------------+----+-------------+----------------------+---------
both( . . .    x ) |  2 | 96  *  *  * |  1  0  0  1  0  1  1 | 0 1 1  2
both( s 2 s    . ) |  2 |  * 96  *  * |  0  0  0  1  2  0  0 | 1 0 0  2
sefa( β3o .    . ) |  2 |  *  * 96  * |  0  1  0  0  1  1  0 | 1 1 0  1
sefa( . o3β    . ) |  2 |  *  *  * 96 |  0  0  1  0  1  0  1 | 1 0 1  1
-------------------+----+-------------+----------------------+---------
both( . o . *b3x ) |  3 |  3  0  0  0 | 32  *  *  *  *  *  * | 0 1 1  0
      β3o .    .     3 |  0  0  3  0 |  * 32  *  *  *  *  * | 1 1 0  0
      . o3β    .     3 |  0  0  0  3 |  *  * 32  *  *  *  * | 1 0 1  0
both( s 2 s  2 x ) |  4 |  2  2  0  0 |  *  *  * 48  *  *  * | 0 0 0  2
sefa( β3o3β    . ) |  4 |  0  2  1  1 |  *  *  *  * 96  *  * | 1 0 0  1
sefa( β3o . *b3x ) |  6 |  3  0  3  0 |  *  *  *  *  * 32  * | 0 1 0  1
sefa( . o3β *b3x ) |  6 |  3  0  0  3 |  *  *  *  *  *  * 32 | 0 0 1  1
-------------------+----+-------------+----------------------+---------
      β3o3β    .    12 |  0 12 12 12 |  0  4  4  0 12  0  0 | 8 * *  *
      β3o . *b3x    12 | 12  0 12  0 |  4  4  0  0  0  4  0 | * 8 *  *
      . o3β *b3x    12 | 12  0  0 12 |  4  0  4  0  0  0  4 | * * 8  *
sefa( β3o3β *b3x )  12 |  6  6  3  3 |  0  0  0  3  3  1  1 | * * * 32

starting figure: x3o3x *b3x

© 2004-2020
top of page