Acronym squasnid
Name square - snub-dodecahedron duoprism
Circumradius sqrt[234+42 sqrt(5)+6 cbrt[20448+9140 sqrt(5)+12 sqrt(7137+3192 sqrt(5))]+6 cbrt[20448+9140 sqrt(5)-12 sqrt(7137+3192 sqrt(5))]]/12 = 2.268840
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x4o s3s5s

. . demi( . . . ) | 240 |   2   1   2   2 |  1   2  1  1   4   4   3 |  1  2  2 1  2  2   6 |  1  1 2  3
------------------+-----+-----------------+--------------------------+----------------------+-----------
x . demi( . . . ) |   2 | 240   *   *   * |  1   1  0  0   2   2   0 |  1  1  1 0  2  2   3 |  1  1 1  3
. .       s 2 s   |   2 |   * 120   *   * |  0   2  0  0   0   0   2 |  1  0  0 1  0  0   4 |  0  0 2  2
. . sefa( s3s . ) |   2 |   *   * 240   * |  0   0  1  0   2   0   1 |  0  2  0 1  1  0   2 |  1  0 2  1
. . sefa( . s5s ) |   2 |   *   *   * 240 |  0   0  0  1   0   2   1 |  0  0  2 1  0  1   2 |  0  1 2  1
------------------+-----+-----------------+--------------------------+----------------------+-----------
x4o demi( . . . ) |   4 |   4   0   0   0 | 60   *  *  *   *   *   * |  1  0  0 0  2  2   0 |  1  1 0  3
x .       s 2 s   |   4 |   2   2   0   0 |  * 120  *  *   *   *   * |  1  0  0 0  0  0   2 |  0  0 1  2
. .       s3s .      3 |   0   0   3   0 |  *   * 80  *   *   *   * |  0  2  0 1  0  0   0 |  1  0 2  0
. .       . s5s      5 |   0   0   0   5 |  *   *  * 48   *   *   * |  0  0  2 1  0  0   0 |  0  1 2  0
x . sefa( s3s . ) |   4 |   2   0   2   0 |  *   *  *  * 240   *   * |  0  1  0 0  1  0   1 |  1  0 1  1
x . sefa( . s5s ) |   4 |   2   0   0   2 |  *   *  *  *   * 240   * |  0  0  1 0  0  1   1 |  0  1 1  1
. . sefa( s3s5s ) |   3 |   0   1   1   1 |  *   *  *  *   *   * 240 |  0  0  0 1  0  0   2 |  0  0 2  1
------------------+-----+-----------------+--------------------------+----------------------+-----------
x4o       s 2 s      8 |   8   4   0   0 |  2   4  0  0   0   0   0 | 30  *  * *  *  *   * |  0  0 0  2
x .       s3s .      6 |   3   0   6   0 |  0   0  2  0   3   0   0 |  * 80  * *  *  *   * |  1  0 1  0
x .       . s5s     10 |   5   0   0  10 |  0   0  0  2   0   5   0 |  *  * 48 *  *  *   * |  0  1 1  0
. .       s3s5s     60 |   0  30  60  60 |  0   0 20 12   0   0  60 |  *  *  * 4  *  *   * |  0  0 2  0
x4o sefa( s3s . )    8 |   8   0   4   0 |  2   0  0  0   4   0   0 |  *  *  * * 60  *   * |  1  0 0  1
x4o sefa( . s5s )    8 |   8   0   0   4 |  2   0  0  0   0   4   0 |  *  *  * *  * 60   * |  0  1 0  1
x . sefa( s3s5s )    6 |   3   2   2   2 |  0   1  0  0   1   1   2 |  *  *  * *  *  * 240 |  0  0 1  1
------------------+-----+-----------------+--------------------------+----------------------+-----------
x4o       s3s .     12 |  12   0  12   0 |  3   0  4  0  12   0   0 |  0  4  0 0  3  0   0 | 20  * *  *
x4o       . s5s     20 |  20   0   0  20 |  5   0  0  4   0  20   0 |  0  0  4 0  0  5   0 |  * 12 *  *
x .       s3s5s    120 |  60  60 120 120 |  0  30 40 24  60  60 120 |  0 20 12 2  0  0  60 |  *  * 4  *
x4o sefa( s3s5s )   12 |  12   4   4   4 |  3   4  0  0   4   4   4 |  1  0  0 0  1  1   4 |  *  * * 60

starting figure: x4o x3x5x

x x s3s5s

. . demi( . . . ) | 240 |   1   1   1   2   2 |  1  1  1  1  1   2   2   2   2   3 |  1  1  1  1  1 1  2  2   3   3 |  1  1 1 1  3
------------------+-----+---------------------+------------------------------------+--------------------------------+-------------
x . demi( . . . ) |   2 | 120   *   *   *   * |  1  1  0  0  0   2   0   2   0   0 |  1  1  0  1  0 0  2  2   3   0 |  1  1 1 0  3
. x demi( . . . ) |   2 |   * 120   *   *   * |  1  0  1  0  0   0   2   0   2   0 |  1  0  1  0  1 0  2  2   0   3 |  1  1 0 1  3
. .       s 2 s   |   2 |   *   * 120   *   * |  0  1  1  0  0   0   0   0   0   2 |  1  0  0  0  0 1  0  0   2   2 |  0  0 1 1  2
. . sefa( s3s . ) |   2 |   *   *   * 240   * |  0  0  0  1  0   1   1   0   0   1 |  0  1  1  0  0 1  1  0   1   1 |  1  0 1 1  1
. . sefa( . s5s ) |   2 |   *   *   *   * 240 |  0  0  0  0  1   0   0   1   1   1 |  0  0  0  1  1 1  0  1   1   1 |  0  1 1 1  1
------------------+-----+---------------------+------------------------------------+--------------------------------+-------------
x x demi( . . . ) |   4 |   2   2   0   0   0 | 60  *  *  *  *   *   *   *   *   * |  1  0  0  0  0 0  2  2   0   0 |  1  1 0 0  3
x .       s 2 s   |   4 |   2   0   2   0   0 |  * 48  *  *  *   *   *   *   *   * |  1  0  0  0  0 0  0  0   2   0 |  0  0 1 0  2
. x       s 2 s   |   4 |   0   2   2   0   0 |  *  * 48  *  *   *   *   *   *   * |  1  0  0  0  0 0  0  0   0   2 |  0  0 0 1  2
. .       s3s .      3 |   0   0   0   3   0 |  *  *  * 80  *   *   *   *   *   * |  0  1  1  0  0 1  0  0   0   0 |  1  0 1 1  0
. .       . s5s      4 |   0   0   0   0   4 |  *  *  *  * 48   *   *   *   *   * |  0  0  0  1  1 1  0  0   0   0 |  0  1 1 1  0
x . sefa( s3s . ) |   4 |   2   0   0   2   0 |  *  *  *  *  * 120   *   *   *   * |  0  1  0  0  0 0  1  0   1   0 |  1  0 1 0  1
. x sefa( s3s . ) |   4 |   0   2   0   2   0 |  *  *  *  *  *   * 120   *   *   * |  0  0  1  0  0 0  1  0   0   1 |  1  0 0 1  1
x . sefa( . s5s ) |   4 |   2   0   0   0   2 |  *  *  *  *  *   *   * 120   *   * |  0  0  0  1  0 0  0  1   1   0 |  0  1 1 0  1
. x sefa( . s5s ) |   4 |   0   2   0   0   2 |  *  *  *  *  *   *   *   * 120   * |  0  0  0  0  1 0  0  1   0   1 |  0  1 0 1  1
. . sefa( s3s5s ) |   3 |   0   0   1   1   1 |  *  *  *  *  *   *   *   *   * 240 |  0  0  0  0  0 1  0  0   1   1 |  0  0 1 1  1
------------------+-----+---------------------+------------------------------------+--------------------------------+-------------
x x       s 2 s      8 |   4   4   4   0   0 |  2  2  2  0  0   0   0   0   0   0 | 30  *  *  *  * *  *  *   *   * |  0  0 0 0  2
x .       s3s .      6 |   3   0   0   6   0 |  0  0  0  2  0   3   0   0   0   0 |  * 40  *  *  * *  *  *   *   * |  1  0 1 0  0
. x       s3s .      6 |   0   3   0   6   0 |  0  0  0  2  0   0   3   0   0   0 |  *  * 40  *  * *  *  *   *   * |  1  0 0 1  0
x .       . s5s     10 |   5   0   0   0  10 |  0  0  0  0  2   0   0   5   0   0 |  *  *  * 24  * *  *  *   *   * |  0  1 1 0  0
. x       . s5s     10 |   0   5   0   0  10 |  0  0  0  0  2   0   0   0   5   0 |  *  *  *  * 24 *  *  *   *   * |  0  1 0 1  0
. .       s3s5s     60 |   0   0  30  60  60 |  0  0  0 20 12   0   0   0   0  60 |  *  *  *  *  * 4  *  *   *   * |  0  0 1 1  0
x x sefa( s3s . )    8 |   4   4   0   4   0 |  2  0  0  0  0   2   2   0   0   0 |  *  *  *  *  * * 60  *   *   * |  1  0 0 0  1
x x sefa( . s5s )    8 |   4   4   0   0   4 |  2  0  0  0  0   0   0   2   2   0 |  *  *  *  *  * *  * 60   *   * |  0  1 0 0  1
x . sefa( s3s5s )    6 |   3   0   2   2   2 |  0  1  0  0  0   1   0   1   0   2 |  *  *  *  *  * *  *  * 120   * |  0  0 1 0  1
. x sefa( s3s5s )    6 |   0   3   2   2   2 |  0  0  1  0  0   0   1   0   1   2 |  *  *  *  *  * *  *  *   * 120 |  0  0 0 1  1
------------------+-----+---------------------+------------------------------------+--------------------------------+-------------
x x       s3s .     12 |   6   6   0  12   0 |  3  0  0  4  0   6   6   0   0   0 |  0  2  2  0  0 0  3  0   0   0 | 20  * * *  *
x x       . s5s     20 |  10  10   0   0  20 |  5  0  0  0  5   0   0  10  10   0 |  0  0  0  2  2 0  0  5   0   0 |  * 12 * *  *
x .       s3s5s    120 |  60   0  60 120 120 |  0 30  0 40 24  60   0  60   0 120 |  0 20  0 12  0 2  0  0  60   0 |  *  * 2 *  *
. x       s3s5s    120 |   0  60  60 120 120 |  0  0 30 40 24   0  60   0  60 120 |  0  0 20  0 12 2  0  0   0  60 |  *  * * 2  *
x x sefa( s3s5s )   12 |   6   6   4   4   4 |  3  2  2  0  0   2   2   2   2   4 |  1  0  0  0  0 0  1  1   2   2 |  *  * * * 60

starting figure: x x x3x5x

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