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).

As the snub of tes is nothing but hex, accordingly the snub of gico will be stico.


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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