Acronym ...
Name o3β3β3o (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

o3β3β3o

both( . . . . ) | 30 |  2   8  2 |  1  4  1  6  6 | 2 2  4
----------------+----+-----------+----------------+-------
sefa( o3β . . ) |  2 | 30   *  * |  1  0  0  2  0 | 2 0  1
sefa( . s3s . ) |  2 |  * 120  * |  0  1  0  1  1 | 1 1  1
sefa( . . β3o ) |  2 |  *   * 30 |  0  0  1  0  2 | 0 2  1
----------------+----+-----------+----------------+-------
      o3β . .     3 |  3   0  0 | 10  *  *  *  * | 2 0  0
both( . s3s . )   3 |  0   3  0 |  * 40  *  *  * | 1 1  0
      . . β3o )   3 |  0   0  3 |  *  * 10  *  * | 0 2  0
sefa( o3β3β . ) |  3 |  1   2  0 |  *  *  * 60  * | 1 0  1
sefa( . β3β3o ) |  3 |  0   2  1 |  *  *  *  * 60 | 0 1  1
----------------+----+-----------+----------------+-------
      o3β3β .    12 | 12  24  0 |  4  8  0 12  0 | 5 *  *
      . β3β3o    12 |  0  24 12 |  0  8  4  0 12 | * 5  *
sefa( o3β3β3o )   4 |  1   4  1 |  0  0  0  2  2 | * * 30
or
both( . . . . )    | 30 |  4   8 |  2  4  12 |  4  4
-------------------+----+--------+-----------+------
sefa( o3β . . )  & |  2 | 60   * |  1  0   2 |  2  1
sefa( . s3s . )    |  2 |  * 120 |  0  1   2 |  2  1
-------------------+----+--------+-----------+------
      o3β . .    &   3 |  3   0 | 20  *   * |  2  0
both( . s3s . )      3 |  0   3 |  * 40   * |  2  0
sefa( o3β3β . )  & |  3 |  1   2 |  *  * 120 |  1  1
-------------------+----+--------+-----------+------
      o3β3β .    &  12 | 12  24 |  4  8  12 | 10  *
sefa( o3β3β3o )      4 |  2   4 |  0  0   4 |  * 30

starting figure: o3x3x3o

© 2004-2019
top of page