Acronym paphicki
Name pentagram-prismatic heptacosicosachoron,
small prismasaurus (also: small prismosaurus)
Cross sections 
 ©
Circumradius 1
Coordinates
  • (1, 0, 0, 0)                                         & all permutations, all changes of sign
    (vertex inscribed q-hex)
  • (1/2, 1/2, 1/2, 1/2)                             & all permutations, all changes of sign
    (vertex inscribed tes)
  • ((1+sqrt(5))/4, (sqrt(5)-1)/4, 1/4, 0)   & all even permutations, all changes of sign
    (vertex inscribed v-sadi)
General of army ex
Colonel of regiment sishi
Face vector 120, 1200, 2520, 720
Confer
Grünbaumian relatives:
sishi+paphicki+gridaphi   2sishi+2paphicki  
general polytopal classes:
noble polytopes  
External
links 		hedrondude   polytopewiki   WikiChoron  

As abstract polytope paphicki is isomorphic to paphacki, thereby replacing the pentagrams by pentagons, resp. replacing stip by pip.


Incidence matrix

 120 ♦   20 |   60  30 |  60
-----+------+----------+----
   2 | 1200 |    6   3 |   9
-----+------+----------+----
   4 |    4 | 1800   * |   2
   5 |    5 |    * 720 |   2
-----+------+----------+----
♦ 10 |   15 |    5   2 | 720

© 2004-2024
top of page