Acronym sesidip
Name small-snub-icosicosidodecahedron prism
Circumradius sqrt[17+3 sqrt(5)+sqrt[102+46 sqrt(5)]]/4 = 1.541531
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
External
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hedrondude  

As abstract polytope sesidip is isomorphic to sirsiddip, thereby replacing prograde icosahedral triangles by retrrograde ones, resp. replacing seside by sirsid.


Incidence matrix according to Dynkin symbol

x s5/2s3s3*b

. demi( .   . .    ) | 120 |  1   2   2   2 |  2  2  2  1  1  1   3 |  1  1  1  3 1
---------------------+-----+----------------+-----------------------+--------------
x demi( .   . .    ) |   2 | 60   *   *   * |  2  2  2  0  0  0   0 |  1  1  1  3 0
. sefa( s5/2s .    ) |   2 |  * 120   *   * |  1  0  0  1  0  0   1 |  1  0  0  1 1
. sefa( s   . s3*b ) |   2 |  *   * 120   * |  0  1  0  0  1  0   1 |  0  1  0  1 1
. sefa( .   s3s    ) |   2 |  *   *   * 120 |  0  0  1  0  0  1   1 |  0  0  1  1 1
---------------------+-----+----------------+-----------------------+--------------
x sefa( s5/2s .    ) |   4 |  2   2   0   0 | 60  *  *  *  *  *   * |  1  0  0  1 0
x sefa( s   . s3*b ) |   4 |  2   0   2   0 |  * 60  *  *  *  *   * |  0  1  0  1 0
x sefa( .   s3s    ) |   4 |  2   0   0   2 |  *  * 60  *  *  *   * |  0  0  1  1 0
.       s5/2s .         5 |  0   5   0   0 |  *  *  * 24  *  *   * |  1  0  0  0 1
.       s   . s3*b      3 |  0   0   3   0 |  *  *  *  * 40  *   * |  0  1  0  0 1
.       .   s3s         3 |  0   0   0   3 |  *  *  *  *  * 40   * |  0  0  1  0 1
. sefa( s5/2s3s3*b ) |   3 |  0   1   1   1 |  *  *  *  *  *  * 120 |  0  0  0  1 1
---------------------+-----+----------------+-----------------------+--------------
x       s5/2s .        10 |  5  10   0   0 |  5  0  0  2  0  0   0 | 12  *  *  * *
x       s   . s3*b      6 |  3   0   6   0 |  0  3  0  0  2  0   0 |  * 20  *  * *
x       .   s3s         6 |  3   0   0   6 |  0  0  3  0  0  2   0 |  *  * 20  * *
x sefa( s5/2s3s3*b )    6 |  3   2   2   2 |  1  1  1  0  0  0   2 |  *  *  * 60 *
.       s5/2s3s3*b     60 |  0  60  60  60 |  0  0  0 12 20 20  60 |  *  *  *  * 2

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