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°
Confer
general polytopal classes:
segmentochora  
External
links
hedrondude  

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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