Acronym idhi
Name invertidodecahedronary hecatonicosachoron
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
Confer
Grünbaumian relatives:
gaghi+idhi   sishi+gaghi+idhi   sishi+idhi  
general polytopal classes:
noble polytopes  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope idhi is automorphic, thereby interchanging the roles of pentagons and pentagrams. As such it could be seen to be a non-regular realization of the regular abstract polychoron {5,6,6}.


Incidence matrix

120    20 |  30  30 |  20
----+------+---------+----
  2 | 1200 |   3   3 |   6
----+------+---------+----
  5 |    5 | 720   * |   2  {5}
  5 |    5 |   * 720 |   2  {5/2}
----+------+---------+----
 20 |   60 |  12  12 | 120  ditdid

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