Acronym sadsid
Name small disnub dodecahedron,
compound of 12 stap
 
 © 
Circumradius sqrt[(15+sqrt(5))/40] = 0.656431
Vertex figure [33,5/2]
External
links
hedrondude   wikipedia   polytopewiki  

Pentagram planes coincide by pairs. So faces either can be considered separately (type A), or are considered as 2-pentagram-compounds (type B).

Further, instead of considering individual stap, it can likewise be seen as a 2-sassid-compounds of opposit handedness (type C).


Incidence matrix

(Type A)

 120 |   2   2 |   3  1 ||  1
-----+---------+--------++---
   2 | 120   * |   1  1 ||  1
   2 |   * 120 |   2  0 ||  1
-----+---------+--------++---
   3 |   1   2 | 120  * ||  1
   5 |   5   0 |   * 24 ||  1
-----+---------+--------++---
 10 |  10  10 |  10  2 || 12

(Type B)

 120 |   2   2 |   3  1 ||  1
-----+---------+--------++---
   2 | 120   * |   1  1 ||  1
   2 |   * 120 |   2  0 ||  1
-----+---------+--------++---
   3 |   1   2 | 120  * ||  1
  10 |  10   0 |   * 12 ||  2
-----+---------+--------++---
 10 |  10  10 |  10  2 || 12

(Type C)

120 |   2   2 |   3  1 || 1
----+---------+--------++--
  2 | 120   * |   1  1 || 1
  2 |   * 120 |   2  0 || 1
----+---------+--------++--
  3 |   1   2 | 120  * || 1
  5 |   5   0 |   * 24 || 1
----+---------+--------++--
 60 |  60  60 |  60 12 || 2

© 2004-2024
top of page