Acronym stoc
Name stellated tetracontoctachoron,
compound of 2 ico
Circumradius 1
Inradius 1/sqrt(2) = 0.707107
Coordinates
  1. (1, 0, 0, 0)                & all permutations, all changes of sign
    (vertex inscribed 1/q-hex)
  2. (1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
    (vertex inscribed tes)
  3. (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)
Dual (selfdual)
External
links
polytopewiki  

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

The kernel of stoc is cont, hence stoc is its stellation.

The convex hull of this compound happens to be o3m4m3o, which in turn is the dual of cont.


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

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