Acronym gico
Name great icositetrachoron,
stella prismata,
compound of 3 tes
Coxeter symbol 2{3,4,3}[3{4,3,3}]{3,4,3}
 
 ©
Circumradius 1
Inradius 1/2
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, even number of minus signs
    (vertex inscribed q-hex)
  • (±1/2, ±1/2, ±1/2, ±1/2)   & all permutations, odd number of minus signs
    (vertex inscribed q-hex)
The hull of any pair of those sets describes the here being used components, i.e. the tesseracts.
General of army ico
Colonel of regiment ico
Dual sico
Confer
compound-component:
tes  
Grünbaumian relatives:
ico+gico+72{4}   ico+gico+24co   2ico+2gico  
general polytopal classes:
regular  
External
links
polytopewiki  

Gico occurs in 2 different forms depending on whether the vertices (coincident by 2) will be counted separately (type A), or will be identified (type B).


Incidence matrix

(Type A)

  48   4 |  6 |  4 || 1
-----+----+----+----++--
   2 | 96 |  3 |  3 || 1
-----+----+----+----++--
   4 |  4 | 72 |  2 || 1
-----+----+----+----++--
  8 | 12 |  6 | 24 || 1
-----+----+----+----++--
 16 | 32 | 24 |  8 || 3

(Type B)

  24   8 | 12 |  8 || 2
-----+----+----+----++--
   2 | 96 |  3 |  3 || 1
-----+----+----+----++--
   4 |  4 | 72 |  2 || 1
-----+----+----+----++--
  8 | 12 |  6 | 24 || 1
-----+----+----+----++--
 16 | 32 | 24 |  8 || 3

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