Acronym	stoc
Name	stellated tetracontoctachoron, compound of 2 ico
Circumradius	1
Inradius	1/sqrt(2) = 0.707107
Coordinates	(1, 0, 0, 0)                & all permutations, all changes of sign (vertex inscribed 1/q-hex) (1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign (vertex inscribed tes) (1/sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign (ico in dual positioning to that defined by the other 2 vertex sets)
General of army	o3m4m3o
Colonel of regiment	(is itself locally convex)
Admiral of fleet	cont
Dual	(selfdual)
External links

The 2 compounding icoes are placed in vice versas dual positioning.

Incidence matrix

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