Acronym ...
Name tetracontoctachoron dual,
bi-apiculated icositetrachoron,
tetradisphenoidal 288-cell
Circumradius sqrt[1+1/sqrt(2)] = 1.306563
Inradius sqrt[10+7 sqrt(2)]/4 = 1.115221
Dual cont
External
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This polychoron can be obtained as the convex hull of the 2 ico compound (stoc). Here all the edges of the former remain as long ones, while the short ones come in as interconnections of the 2 vertex set members. Each cell then joins a pair of adjacent vertices of one set to a pair of adjacent vertices of the other set, thus being a disphenoid.


Incidence matrix according to Dynkin symbol

o3m4m3o =
ao3oo4oo3oa&#zx   → height = 0, where a = circ.rad. = sqrt(w/q) = 1.306563

o.3o.4o.3o.    | 24  * |  8   6  0 |  24  12 |  24
.o3.o4.o3.o    |  * 24 |  0   6  8 |  12  24 |  24
---------------+-------+-----------+---------+----
a. .. .. ..    |  2  0 | 96   *  * |   3   0 |   3  a
oo3oo4oo3oo&#x |  1  1 |  * 144  * |   4   4 |   8  x
.. .. .. .a    |  0  2 |  *   * 96 |   0   3 |   3  a
---------------+-------+-----------+---------+----
ao .. .. ..&#x |  2  1 |  1   2  0 | 288   * |   2
.. .. .. oa&#x |  1  2 |  0   2  1 |   * 288 |   2
---------------+-------+-----------+---------+----
ao .. .. oa&#x |  2  2 |  1   4  1 |   2   2 | 288
or
o.3o.4o.3o.    & | 48 |   8   6 |  36 |  24
-----------------+----+---------+-----+----
a. .. .. ..    & |  2 | 192   * |   3 |   3  a
oo3oo4oo3oo&#x   |  2 |   * 144 |   8 |   8  x
-----------------+----+---------+-----+----
ao .. .. ..&#x & |  3 |   1   2 | 576 |   2
-----------------+----+---------+-----+----
ao .. .. oa&#x   |  4 |   2   4 |   4 | 288

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