Acronym	traddet
Name	triangular antiditetragoltriate
Circumradius	sqrt[(a22+b22)/3]
Lace city in approx. ASCII-art	a3o o3b o3b o3b a3o a3o
Face vector	18, 72, 96, 42
Confer	variants: this case 0 < b:a < 1/2 or 2 < b:a < ∞  /  case b:a = 1/2 or b:a = 2  /  case 1/2 < b:a < 2   with esp. case b:a = 1 general polytopal classes: isogonal
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No uniform realisation is possible for any of those ao3ob bo3oa&#zc. Even so all are isogonal.

Incidence matrix according to Dynkin symbol

ao3ob bo3oa&#zc   → height = 0
                    b:a > 2
                    c = sqrt[2(a22-ab+b22)/3]

o.3o. o.3o.     & | 18 |  2  2  4 | 1  4  6  6 | 2  5 2 2
------------------+----+----------+------------+---------
a. .. .. ..     & |  2 | 18  *  * | 1  2  2  0 | 2  2 1 0  a
.. .. b. ..     & |  2 |  * 18  * | 0  2  0  2 | 1  2 0 1  b
oo3oo oo3oo&#c    |  2 |  *  * 36 | 0  0  2  2 | 0  2 1 1  c
------------------+----+----------+------------+---------
a.3o. .. ..     & |  3 |  3  0  0 | 6  *  *  * | 2  0 0 0  a-{3}
a. .. b. ..     & |  4 |  2  2  0 | * 18  *  * | 1  1 0 0  (a,b)-{4}
ao .. .. ..&#c  & |  3 |  1  0  2 | *  * 36  * | 0  1 1 0  acc
.. ob .. ..&#c  & |  3 |  0  1  2 | *  *  * 36 | 0  1 0 1  bcc
------------------+----+----------+------------+---------
a.3o. b. ..     & |  6 |  6  3  0 | 2  3  0  0 | 6  * * *  tall (a,b)-trip
ao .. bo ..&#c  & |  5 |  2  2  4 | 0  1  2  2 | * 18 * *  pyramid on (a,b)-{4}
ao .. .. oa&#c    |  4 |  2  0  4 | 0  0  4  0 | *  * 9 *  tall (a,c)-disphenoid
.. ob bo ..&#c    |  4 |  0  2  4 | 0  0  0  4 | *  * * 9  narrow (b,c)-disphenoid