Acronym triddet
Name triangular ditetragoltriate
Circumradius sqrt[(a2+b2)/3]
Lace city
in approx. ASCII-art
         a3o         
                     
                     
         b3o         
                     
                     
                     
     b3o     b3o     
                     
a3o               a3o
Confer
more general:
(n,m)-ditetragoltriate  
general polytopal classes:
isogonal  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

ab3oo ba3oo&#zc   → height = 0
                    a < b
                    c = (b-a) sqrt(2/3)
(c-laced tegum sum of 2 alterparallel (a,b)-triddips)

o.3o. o.3o.    | 9 * | 2 2 1 0 0 | 1 4 2 2 0 0 | 2 4 0
.o3.o .o3.o    | * 9 | 0 0 1 2 2 | 0 0 2 2 4 1 | 0 4 2
---------------+-----+-----------+-------------+------
a. .. .. ..    | 2 0 | 9 * * * * | 1 2 1 0 0 0 | 2 2 0
.. .. b. ..    | 2 0 | * 9 * * * | 0 2 0 1 0 0 | 1 2 0
oo3oo oo3oo&#c | 1 1 | * * 9 * * | 0 0 2 2 0 0 | 0 4 0
.b .. .. ..    | 0 2 | * * * 9 * | 0 0 1 0 2 0 | 0 2 1
.. .. .a ..    | 0 2 | * * * * 9 | 0 0 0 1 2 1 | 0 2 2
---------------+-----+-----------+-------------+------
a.3o. .. ..    | 3 0 | 3 0 0 0 0 | 3 * * * * * | 2 0 0
a. .. b. ..    | 4 0 | 2 2 0 0 0 | * 9 * * * * | 1 1 0
ab .. .. ..&#c | 2 2 | 1 0 2 1 0 | * * 9 * * * | 0 2 0
.. .. ba ..&#c | 2 2 | 0 1 2 0 1 | * * * 9 * * | 0 2 0
.b .. .a ..    | 0 4 | 0 0 0 2 2 | * * * * 9 * | 0 1 1
.. .. .a3.o    | 0 3 | 0 0 0 0 3 | * * * * * 3 | 0 0 2
---------------+-----+-----------+-------------+------
a.3o. b. ..    | 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 | 3 * *  tall (a,b)-trip
ab .. ba ..&#c | 4 4 | 2 2 4 2 2 | 0 1 2 2 1 0 | * 9 *  recta
.b .. .a3.o    | 0 6 | 0 0 0 3 6 | 0 0 0 0 3 2 | * * 3  tall (a,b)-trip
or
o.3o. o.3o.    & | 18 |  2  2 1 | 1  4  4 | 2 4
-----------------+----+---------+---------+----
a. .. .. ..    & |  2 | 18  * * | 1  2  1 | 2 2
.. .. b. ..    & |  2 |  * 18 * | 0  2  1 | 1 2
oo3oo oo3oo&#c   |  2 |  *  * 9 | 0  0  4 | 0 4
-----------------+----+---------+---------+----
a.3o. .. ..    & |  3 |  3  0 0 | 6  *  * | 2 0
a. .. b. ..    & |  4 |  2  2 0 | * 18  * | 1 1
ab .. .. ..&#c & |  4 |  1  1 2 | *  * 18 | 0 2
-----------------+----+---------+---------+----
a.3o. b. ..    & |  6 |  6  3 0 | 2  3  0 | 6 *  tall (a,b)-trip
ab .. ba ..&#c   |  8 |  4  4 4 | 0  2  4 | * 9  recta

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