Acronym sissidadid, sissid || did
Name small stellated dodecahedron atop dodecadodecahedron,
small-stellated-dodecahedral cupola
Circumradius sqrt[(8+2 sqrt(5))/11] = 1.064815
Dihedral angles
  • at {5/2} between sissid and stap:   arccos(-sqrt[sqrt(5)/4]) = 138.389326°
  • at {5} between did and peppy:   arccos(sqrt[(9-4 sqrt(5))/4]) = 83.221348°
  • at {5/2} between did and stap:   arccos(sqrt[sqrt(5)/4]) = 41.610674°
  • at {3} between peppy and stap:   ...
  • at {3} between stap and stap:   ...
Confer
orbiform relative:
sidrebcu  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xo5/2ox5oo&#x   → height = sqrt[(5 sqrt(5)-9)/8] = 0.522056
(sissid || did)

o.5/2o.5o.    | 12  * |  5  5  0 |  5  5  5  0  0 | 1  5  1 0
.o5/2.o5.o    |  * 30 |  0  2  4 |  0  1  4  2  2 | 0  2  2 1
--------------+-------+----------+----------------+----------
x.   .. ..    |  2  0 | 30  *  * |  2  1  0  0  0 | 1  2  0 0
oo5/2oo5oo&#x |  1  1 |  * 60  * |  0  1  2  0  0 | 0  2  1 0
..   .x ..    |  0  2 |  *  * 60 |  0  0  1  1  1 | 0  1  1 1
--------------+-------+----------+----------------+----------
x.5/2o. ..    |  5  0 |  5  0  0 | 12  *  *  *  * | 1  1  0 0
xo   .. ..&#x |  2  1 |  1  2  0 |  * 30  *  *  * | 0  2  0 0
..   ox ..&#x |  1  2 |  0  2  1 |  *  * 60  *  * | 0  1  1 0
.o5/2.x ..    |  0  5 |  0  0  5 |  *  *  * 12  * | 0  1  0 1
..   .x5.o    |  0  5 |  0  0  5 |  *  *  *  * 12 | 0  0  1 1
--------------+-------+----------+----------------+----------
x.5/2o.5o.     12  0 | 30  0  0 | 12  0  0  0  0 | 1  *  * *
xo5/2ox ..&#x   5  5 |  5 10  5 |  1  5  5  1  0 | * 12  * *
..   ox5oo&#x   1  5 |  0  5  5 |  0  0  5  0  1 | *  * 12 *
.o5/2.x5.o      0 30 |  0  0 60 |  0  0  0 12 12 | *  *  * 1

© 2004-2019
top of page