Acronym stico (old: sico)
Name stellated icositetrachoron,
stella tegmata,
compound of 3 hex
Coxeter symbol {3,4,3}[3{3,3,4}]2{3,4,3}
 
 ©
Circumradius 1/sqrt(2) = 0.707107
Inradius 1/sqrt(8) = 0.353553
Coordinates
  • (1/sqrt(2), 0, 0, 0)                                             & all permutations, all changes of sign
    (vertex inscribed first hex component)
  • (±1/sqrt(8), ±1/sqrt(8), ±1/sqrt(8), ±1/sqrt(8))   & all permutations, even number of minus signs
    (vertex inscribed second hex component)
  • (±1/sqrt(8), ±1/sqrt(8), ±1/sqrt(8), ±1/sqrt(8))   & all permutations, odd number of minus signs
    (vertex inscribed third hex component)
General of army ico
Colonel of regiment (is itself locally convex)
Dual gico
Confer
compound-component:
hex  
general polytopal classes:
regular  
External
links
polytopewiki  

Comes in 2 types, depending on the pairs of co-realmic tet (in dual positioning): being counted separately (type A) or being combined to so compounds as well (type B).

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


Incidence matrix according to Dynkin symbol

xoo3ooo3oox *b3oxo   (Type A)

o..3o..3o.. *b3o..  & | 24   6 | 12 |  8 || 1
----------------------+----+----+----+----++--
x.. ... ...    ...  & |  2 | 72 |  4 |  4 || 1
----------------------+----+----+----+----++--
x..3o.. ...    ...  & |  3 |  3 | 96 |  2 || 1
----------------------+----+----+----+----++--
x..3o..3o..    ...  &   4 |  6 |  4 | 48 || 1
----------------------+----+----+----+----++--
x..3o..3o.. *b3o..  &   8 | 24 | 32 | 16 || 3

xoo3ooo3oox *b3oxo   (Type B)

o..3o..3o.. *b3o..  & | 24   6 | 12 |  8 || 1
----------------------+----+----+----+----++--
x.. ... ...    ...  & |  2 | 72 |  4 |  4 || 1
----------------------+----+----+----+----++--
x..3o.. ...    ...  & |  3 |  3 | 96 |  2 || 1
----------------------+----+----+----+----++--
x.o3o.o3o.x    ...  &   8 | 12 |  8 | 24 || 2
----------------------+----+----+----+----++--
x..3o..3o.. *b3o..  &   8 | 24 | 32 | 16 || 3

© 2004-2021
top of page