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)
Admiral of fleet	ico
Dual	gico
Confer	compounds: sistic   compound-component: hex   general polytopal classes: regular
External links

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