Acronym squasnic
Name square - snub-cube duoprism
Circumradius sqrt[(16+cbrt[199+3 sqrt(33)]+cbrt[199-3 sqrt(33)])/12] = 1.518409
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x4o s3s4s

. . demi( . . . ) | 96 |  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 | 96  *  *  * |  1  1  0  0  2  2  0 |  1  1  1 0  2  2  3 | 1 1 1  3
. .       s 2 s   |  2 |  * 48  *  * |  0  2  0  0  0  0  2 |  1  0  0 1  0  0  4 | 0 0 2  2
. . sefa( s3s . ) |  2 |  *  * 96  * |  0  0  1  0  2  0  1 |  0  2  0 1  1  0  2 | 1 0 2  1
. . sefa( . s4s ) |  2 |  *  *  * 96 |  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 | 24  *  *  *  *  *  * |  1  0  0 0  2  2  0 | 1 1 0  3
x .       s 2 s   |  4 |  2  2  0  0 |  * 48  *  *  *  *  * |  1  0  0 0  0  0  2 | 0 0 1  2
. .       s3s .     3 |  0  0  3  0 |  *  * 32  *  *  *  * |  0  2  0 1  0  0  0 | 1 0 2  0
. .       . s4s     4 |  0  0  0  4 |  *  *  * 24  *  *  * |  0  0  2 1  0  0  0 | 0 1 2  0
x . sefa( s3s . ) |  4 |  2  0  2  0 |  *  *  *  * 96  *  * |  0  1  0 0  1  0  1 | 1 0 1  1
x . sefa( . s4s ) |  4 |  2  0  0  2 |  *  *  *  *  * 96  * |  0  0  1 0  0  1  1 | 0 1 1  1
. . sefa( s3s4s ) |  3 |  0  1  1  1 |  *  *  *  *  *  * 96 |  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 | 12  *  * *  *  *  * | 0 0 0  2
x .       s3s .     6 |  3  0  6  0 |  0  0  2  0  3  0  0 |  * 32  * *  *  *  * | 1 0 1  0
x .       . s4s     8 |  4  0  0  8 |  0  0  0  2  0  4  0 |  *  * 24 *  *  *  * | 0 1 1  0
. .       s3s4s    24 |  0 12 24 24 |  0  0  8  6  0  0 24 |  *  *  * 4  *  *  * | 0 0 2  0
x4o sefa( s3s . )   8 |  8  0  4  0 |  2  0  0  0  4  0  0 |  *  *  * * 24  *  * | 1 0 0  1
x4o sefa( . s4s )   8 |  8  0  0  4 |  2  0  0  0  0  4  0 |  *  *  * *  * 24  * | 0 1 0  1
x . sefa( s3s4s )   6 |  3  2  2  2 |  0  1  0  0  1  1  2 |  *  *  * *  *  * 96 | 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 | 8 * *  *
x4o       . s4s    16 | 16  0  0 16 |  4  0  0  4  0 16  0 |  0  0  4 0  0  4  0 | * 6 *  *
x .       s3s4s    48 | 24 24 48 48 |  0 12 16 12 24 24 48 |  0  8  6 2  0  0 24 | * * 4  *
x4o sefa( s3s4s )  12 | 12  4  4  4 |  3  4  0  0  4  4  4 |  1  0  0 0  1  1  4 | * * * 24

starting figure: x4o x3x4x

x x s3s4s

. . demi( . . . ) | 96 |  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 | 48  *  *  *  * |  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 |  * 48  *  *  * |  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 |  *  * 48  *  * |  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 |  *  *  * 96  * |  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( . s4s ) |  2 |  *  *  *  * 96 |  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 | 24  *  *  *  *  *  *  *  *  * |  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 |  * 24  *  *  *  *  *  *  *  * |  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 |  *  * 24  *  *  *  *  *  *  * |  1  0  0  0  0 0  0  0  0  2 | 0 0 0 1  2
. .       s3s .     3 |  0  0  0  3  0 |  *  *  * 32  *  *  *  *  *  * |  0  1  1  0  0 1  0  0  0  0 | 1 0 1 1  0
. .       . s4s     4 |  0  0  0  0  4 |  *  *  *  * 24  *  *  *  *  * |  0  0  0  1  1 1  0  0  0  0 | 0 1 1 1  0
x . sefa( s3s . ) |  4 |  2  0  0  2  0 |  *  *  *  *  * 48  *  *  *  * |  0  1  0  0  0 0  1  0  1  0 | 1 0 1 0  1
. x sefa( s3s . ) |  4 |  0  2  0  2  0 |  *  *  *  *  *  * 48  *  *  * |  0  0  1  0  0 0  1  0  0  1 | 1 0 0 1  1
x . sefa( . s4s ) |  4 |  2  0  0  0  2 |  *  *  *  *  *  *  * 48  *  * |  0  0  0  1  0 0  0  1  1  0 | 0 1 1 0  1
. x sefa( . s4s ) |  4 |  0  2  0  0  2 |  *  *  *  *  *  *  *  * 48  * |  0  0  0  0  1 0  0  1  0  1 | 0 1 0 1  1
. . sefa( s3s4s ) |  3 |  0  0  1  1  1 |  *  *  *  *  *  *  *  *  * 96 |  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 | 12  *  *  *  * *  *  *  *  * | 0 0 0 0  2
x .       s3s .     6 |  3  0  0  6  0 |  0  0  0  2  0  3  0  0  0  0 |  * 16  *  *  * *  *  *  *  * | 1 0 1 0  0
. x       s3s .     6 |  0  3  0  6  0 |  0  0  0  2  0  0  3  0  0  0 |  *  * 16  *  * *  *  *  *  * | 1 0 0 1  0
x .       . s4s     8 |  4  0  0  0  8 |  0  0  0  0  2  0  0  4  0  0 |  *  *  * 12  * *  *  *  *  * | 0 1 1 0  0
. x       . s4s     8 |  0  4  0  0  8 |  0  0  0  0  2  0  0  0  4  0 |  *  *  *  * 12 *  *  *  *  * | 0 1 0 1  0
. .       s3s4s    24 |  0  0 12 24 24 |  0  0  0  8  6  0  0  0  0 24 |  *  *  *  *  * 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 |  *  *  *  *  * * 24  *  *  * | 1 0 0 0  1
x x sefa( . s4s )   8 |  4  4  0  0  4 |  2  0  0  0  0  0  0  2  2  0 |  *  *  *  *  * *  * 24  *  * | 0 1 0 0  1
x . sefa( s3s4s )   6 |  3  0  2  2  2 |  0  1  0  0  0  1  0  1  0  2 |  *  *  *  *  * *  *  * 48  * | 0 0 1 0  1
. x sefa( s3s4s )   6 |  0  3  2  2  2 |  0  0  1  0  0  0  1  0  1  2 |  *  *  *  *  * *  *  *  * 48 | 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 | 8 * * *  *
x x       . s4s    16 |  8  8  0  0 16 |  4  0  0  0  4  0  0  8  8  0 |  0  0  0  2  2 0  0  4  0  0 | * 6 * *  *
x .       s3s4s    48 | 24  0 24 48 48 |  0 12  0 16 12 24  0 24  0 48 |  0  8  0  6  0 2  0  0 24  0 | * * 2 *  *
. x       s3s4s    48 |  0 24 24 48 48 |  0  0 12 16 12  0 24  0 24 48 |  0  0  8  0  6 2  0  0  0 24 | * * * 2  *
x x sefa( s3s4s )  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 | * * * * 24

starting figure: x x x3x4x

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