Acronym	gistic
Name	great stellated icositetrachoron, compound of 6 tes, compound of 2 gico
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) (1/sqrt(2), 1/sqrt(2), 0, 0)    & all permutations, all changes of sign (vertex inscribed dual ico)
General of army	stoc
Dual	sistic
Confer	compound-component: tes   gico   general polytopal classes: regular
External links

Gistic occurs in 4 different forms depending on whether the vertices (coincident by 2) will be counted separately (type A,C), or will be identified (type B,D), and whether the components are being considered to be teses (type A,B), or to be gicoes (type C,D).

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

Incidence matrix

(Type A)

  96 ♦   4 |   6 |  4 || 1
-----+-----+-----+----++--
   2 | 192 |   3 |  3 || 1
-----+-----+-----+----++--
   4 |   4 | 144 |  2 || 1
-----+-----+-----+----++--
♦  8 |  12 |   6 | 48 || 1
-----+-----+-----+----++--
♦ 16 |  32 |  24 |  8 || 6

(Type B)

  48 ♦   8 |  12 |  8 || 2
-----+-----+-----+----++--
   2 | 192 |   3 |  3 || 1
-----+-----+-----+----++--
   4 |   4 | 144 |  2 || 1
-----+-----+-----+----++--
♦  8 |  12 |   6 | 48 || 1
-----+-----+-----+----++--
♦ 16 |  32 |  24 |  8 || 6

(Type C)

  96 ♦   4 |   6 |  4 || 1
-----+-----+-----+----++--
   2 | 192 |   3 |  3 || 1
-----+-----+-----+----++--
   4 |   4 | 144 |  2 || 1
-----+-----+-----+----++--
♦  8 |  12 |   6 | 48 || 1
-----+-----+-----+----++--
♦ 48 |  96 |  72 | 24 || 2

(Type D)

  48 ♦   8 |  12 |  8 || 2
-----+-----+-----+----++--
   2 | 192 |   3 |  3 || 1
-----+-----+-----+----++--
   4 |   4 | 144 |  2 || 1
-----+-----+-----+----++--
♦  8 |  12 |   6 | 48 || 1
-----+-----+-----+----++--
♦ 24 |  96 |  72 | 24 || 2