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 dual of cont
Colonel of regiment (is itself locally convex)
Dual (self-dual)

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

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