Acronym snip
Name s3s3s3s,
snub pentachoron,
non-uniform alternation of gippid
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

s3s3s3s

demi( . . . .  ) | 60 |  1  1  1  2  2  2 |  1  1  1  3  3  3  3 | 1  1  1 1  4
-----------------+----+-------------------+----------------------+-------------
      s 2 s .    |  2 | 30  *  *  *  *  * |  0  0  0  2  0  2  0 | 1  0  1 0  2
      s . . s2*a |  2 |  * 30  *  *  *  * |  0  0  0  0  2  2  0 | 0  1  1 0  2
      . s 2 s    |  2 |  *  * 30  *  *  * |  0  0  0  0  2  0  2 | 0  1  0 1  2
sefa( s3s . .  ) |  2 |  *  *  * 60  *  * |  1  0  0  1  1  0  0 | 1  1  0 0  1
sefa( . s3s .  ) |  2 |  *  *  *  * 60  * |  0  1  0  1  0  0  1 | 1  0  0 1  1
sefa( . . s3s  ) |  2 |  *  *  *  *  * 60 |  0  0  1  0  0  1  1 | 0  0  1 1  1
-----------------+----+-------------------+----------------------+-------------
      s3s . .      3 |  0  0  0  3  0  0 | 20  *  *  *  *  *  * | 1  1  0 0  0
      . s3s .      3 |  0  0  0  0  3  0 |  * 20  *  *  *  *  * | 1  0  0 1  0
      . . s3s      3 |  0  0  0  0  0  3 |  *  * 20  *  *  *  * | 0  0  1 1  0
sefa( s3s3s .  ) |  3 |  1  0  0  1  1  0 |  *  *  * 60  *  *  * | 1  0  0 0  1
sefa( s3s 2 s  ) |  3 |  0  1  1  1  0  0 |  *  *  *  * 60  *  * | 0  1  0 0  1
sefa( s 2 s3s  ) |  3 |  1  1  0  0  0  1 |  *  *  *  *  * 60  * | 0  0  1 0  1
sefa( . s3s3s  ) |  3 |  0  0  1  0  1  1 |  *  *  *  *  *  * 60 | 0  0  0 1  1
-----------------+----+-------------------+----------------------+-------------
      s3s3s .     12 |  6  0  0 12 12  0 |  4  4  0 12  0  0  0 | 5  *  * *  *
      s3s 2 s      6 |  0  3  3  6  0  0 |  2  0  0  0  6  0  0 | * 10  * *  *
      s 2 s3s      6 |  3  3  0  0  0  6 |  0  0  2  0  0  6  0 | *  * 10 *  *
      . s3s3s     12 |  0  0  6  0 12 12 |  0  4  4  0  0  0 12 | *  *  * 5  *
sefa( s3s3s3s  )   4 |  1  1  1  1  1  1 |  0  0  0  1  1  1  1 | *  *  * * 60

or
demi( . . . . )   | 60 |  2  1   4  2 |  2  1   6   6 |  2  2  4
------------------+----+--------------+---------------+---------
      s 2 s .   & |  2 | 60  *   *  * |  0  0   2   2 |  1  1  1
      s . . s2*a  |  2 |  * 30   *  * |  0  0   0   4 |  0  2  2
sefa( s3s . . ) & |  2 |  *  * 120  * |  1  0   1   1 |  1  1  1
sefa( . s3s . )   |  2 |  *  *   * 60 |  0  1   2   0 |  2  0  1
------------------+----+--------------+---------------+---------
      s3s . .   &   3 |  0  0   3  0 | 40  *   *   * |  1  1  0
      . s3s .       3 |  0  0   0  3 |  * 20   *   * |  2  0  0
sefa( s3s3s . ) & |  3 |  1  0   1  1 |  *  * 120   * |  1  0  1
sefa( s3s 2 s ) & |  3 |  1  1   1  0 |  *  *   * 120 |  0  1  1
------------------+----+--------------+---------------+---------
      s3s3s .   &  12 |  6  0  12 12 |  4  4  12   0 | 10  *  *
      s3s 2 s   &   6 |  3  3   6  0 |  2  0   0   6 |  * 20  *
sefa( s3s3s3s )     4 |  2  1   2  1 |  0  0   2   2 |  *  * 60

starting figure: x3x3x3x

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