Acronym sniddip, K-4.110
Name snub-dodecahedron prism,
snub-icosidodecahedron prism
Circumradius sqrt[198+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 = 2.213060
Dihedral angles
  • at {4} between trip and trip:   ≈164.18°
  • at {4} between pip and trip:   ≈152.93°
  • at {5} between pip and snid:   90°
  • at {3} between snid and trip:   90°
Face vector 120, 360, 334, 94
Confer
general polytopal classes:
segmentochora  
External
links 		hedrondude   wikipedia   polytopewiki

As abstract polytope sniddip is isomorphic to gosiddip, thereby replacing pentagons by (prograde) pentagrams, resp. replacing pip by stip and snid by gosid. – Further it is isomorphic to gisiddip, thereby replacing pentagons by retrograde pentagrams, resp. replacing pip by stip and snid by gisid. – Finally it is isomorphic to girsiddip, thereby replacing prograde icosahedral triangles and pentagons respectively by retrrograde icosahedral triangles and retrograde pentagrams resp. replacing pip by stip and snid by girsid.


Incidence matrix according to Dynkin symbol

x s3s5s

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

starting figure: x x3x5x


s3s5s || s3s5s
(snid || snid)

demi( . . . )                 | 60  * |  1  2  2  1  0  0  0 |  1  1  3  1  2  2  0  0  0 | 1  1  1  3 0
                demi( . . . ) |  * 60 |  0  0  0  1  1  2  2 |  0  0  0  1  2  2  1  1  3 | 0  1  1  3 1
------------------------------+-------+----------------------+----------------------------+-------------
      s 2 s                   |  2  0 | 30  *  *  *  *  *  * |  0  0  2  1  0  0  0  0  0 | 1  0  0  2 0
sefa( s3s . )                 |  2  0 |  * 60  *  *  *  *  * |  1  0  1  0  1  0  0  0  0 | 1  1  0  1 0
sefa( . s5s )                 |  2  0 |  *  * 60  *  *  *  * |  0  1  1  0  0  1  0  0  0 | 1  0  1  1 0
demi( . . . ) || demi( . . . ) |  1  1 |  *  *  * 60  *  *  * |  0  0  0  1  2  2  0  0  0 | 0  1  1  3 0
                      s 2 s   |  0  2 |  *  *  *  * 30  *  * |  0  0  0  1  0  0  0  0  2 | 0  0  0  2 1
                sefa( s3s . ) |  0  2 |  *  *  *  *  * 60  * |  0  0  0  0  1  0  1  0  1 | 0  1  0  1 1
                sefa( . s5s ) |  0  2 |  *  *  *  *  *  * 60 |  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
------------------------------+-------+----------------------+----------------------------+-------------
      s3s .                   ♦  3  0 |  0  3  0  0  0  0  0 | 20  *  *  *  *  *  *  *  * | 1  1  0  0 0
      . s5s                   ♦  5  0 |  0  0  5  0  0  0  0 |  * 12  *  *  *  *  *  *  * | 1  0  1  0 0
sefa( s3s5s )                 |  3  0 |  1  1  1  0  0  0  0 |  *  * 60  *  *  *  *  *  * | 1  0  0  1 0
      s 2 s   ||       s 2 s   |  2  2 |  1  0  0  2  1  0  0 |  *  *  * 30  *  *  *  *  * | 0  0  0  2 0
sefa( s3s . ) || sefa( s3s . ) |  2  2 |  0  1  0  2  0  1  0 |  *  *  *  * 60  *  *  *  * | 0  1  0  1 0
sefa( . s5s ) || sefa( . s5s ) |  2  2 |  0  0  1  2  0  0  1 |  *  *  *  *  * 60  *  *  * | 0  0  1  1 0
                      s3s .   ♦  0  3 |  0  0  0  0  0  3  0 |  *  *  *  *  *  * 20  *  * | 0  1  0  0 1
                      . s5s   ♦  0  5 |  0  0  0  0  0  0  5 |  *  *  *  *  *  *  * 12  * | 0  0  1  0 1
                sefa( s3s5s ) |  0  3 |  0  0  0  0  1  1  1 |  *  *  *  *  *  *  *  * 60 | 0  0  0  1 1
------------------------------+-------+----------------------+----------------------------+-------------
      s3s5s                   ♦ 60  0 | 30 60 60  0  0  0  0 | 20 12 60  0  0  0  0  0  0 | 1  *  *  * *
      s3s .   ||       s3s .   ♦  3  3 |  0  3  0  3  0  3  0 |  1  0  0  0  3  0  1  0  0 | * 20  *  * *
      . s5s   ||       . s5s   ♦  5  5 |  0  0  5  5  0  0  5 |  0  1  0  0  0  5  0  1  0 | *  * 12  * *
sefa( s3s5s ) || sefa( s3s5s ) ♦  3  3 |  1  1  1  3  1  1  1 |  0  0  1  1  1  1  0  0  1 | *  *  * 60 *
                      s3s5s   ♦  0 60 |  0  0  0  0 30 60 60 |  0  0  0  0  0  0 20 12 60 | *  *  *  * 1

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