Acronym trafpy
Name traf pyramid
Circumradius sqrt(5/8) = 0.790569
Lace hyper city
in approx. ASCII-art
o   3
  P  

where:
o = o o3o (point)
3 = o o3x (triangle)
P = x x3o (trip)
Confer
uniform relative:
hin  
related segmentotera:
rappy  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

oox oox3oxo&#x   → height(1,2) = sqrt(2/3) = 0.816497
                   height(1,3) = height(2,3) = sqrt(5/12) = 0.645497

o.. o..3o..    1 1 * *  3 6 0  0 0 0 | 3 3 6 12 0 0 0 0 0 0 | 1 3 2 6 6 6 0 0 0 0 | 1 3 3 2 0
.o. .o.3.o.    | * 3 * | 1 0 2  4 0 0 | 2 0 0  4 1 2 2 4 0 0 | 1 0 0 2 2 4 1 2 2 0 | 0 1 2 2 1
..o ..o3..o    | * * 6 | 0 1 0  2 1 2 | 0 1 2  2 0 2 2 1 2 1 | 0 2 1 2 2 1 2 1 1 1 | 1 2 1 1 1
---------------+-------+--------------+----------------------+---------------------+----------
oo. oo.3oo.&#x | 1 1 0 | 3 * *  * * * | 2 0 0  4 0 0 0 0 0 0 | 1 0 0 2 2 4 0 0 0 0 | 0 1 2 2 0
o.o o.o3o.o&#x | 1 0 1 | * 6 *  * * * | 0 1 2  2 0 0 0 0 0 0 | 0 2 1 2 2 1 0 0 0 0 | 1 2 1 1 0
... ... .x.    | 0 2 0 | * * 3  * * * | 1 0 0  0 1 0 0 2 0 0 | 1 0 0 0 0 2 0 1 2 0 | 0 0 1 2 1
.oo .oo3.oo&#x | 0 1 1 | * * * 12 * * | 0 0 0  1 0 1 1 1 0 0 | 0 0 0 1 1 1 1 1 1 0 | 0 1 1 1 1
..x ... ...    | 0 0 2 | * * *  * 3 * | 0 1 0  0 0 2 0 0 2 0 | 0 2 0 2 0 0 2 1 0 1 | 1 2 1 0 1
... ..x ...    | 0 0 2 | * * *  * * 6 | 0 0 1  0 0 0 1 0 1 1 | 0 1 1 0 1 0 1 0 1 1 | 1 1 0 1 1
---------------+-------+--------------+----------------------+---------------------+----------
... ... ox.&#x | 1 2 0 | 2 0 1  0 0 0 | 3 * *  * * * * * * * | 1 0 0 0 0 2 0 0 0 0 | 0 0 1 2 0
o.x ... ...&#x | 1 0 2 | 0 2 0  0 1 0 | * 3 *  * * * * * * * | 0 2 0 2 0 0 0 0 0 0 | 1 2 1 0 0
... o.x ...&#x | 1 0 2 | 0 2 0  0 0 1 | * * 6  * * * * * * * | 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 0
ooo ooo3ooo&#x | 1 1 1 | 1 1 0  1 0 0 | * * * 12 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
... .o.3.x.    | 0 3 0 | 0 0 3  0 0 0 | * * *  * 1 * * * * * | 1 0 0 0 0 0 0 0 2 0 | 0 0 0 2 1
.ox ... ...&#x | 0 1 2 | 0 0 0  2 1 0 | * * *  * * 6 * * * * | 0 0 0 1 0 0 1 1 0 0 | 0 1 1 0 1
... .ox ...&#x | 0 1 2 | 0 0 0  2 0 1 | * * *  * * * 6 * * * | 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1
... ... .xo&#x | 0 2 1 | 0 0 1  2 0 0 | * * *  * * * * 6 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
..x ..x ...    | 0 0 4 | 0 0 0  0 2 2 | * * *  * * * * * 3 * | 0 1 0 0 0 0 1 0 0 1 | 1 1 0 0 1
... ..x3..o    | 0 0 3 | 0 0 0  0 0 3 | * * *  * * * * * * 2 | 0 0 1 0 0 0 0 0 1 1 | 1 0 0 1 1
---------------+-------+--------------+----------------------+---------------------+----------
... oo.3ox.&#x  1 3 0 | 3 0 3  0 0 0 | 3 0 0  0 1 0 0 0 0 0 | 1 * * * * * * * * * | 0 0 0 2 0
o.x o.x ...&#x  1 0 4 | 0 4 0  0 2 2 | 0 2 2  0 0 0 0 0 1 0 | * 3 * * * * * * * * | 1 1 0 0 0
... o.x3o.o&#x  1 0 3 | 0 3 0  0 0 3 | 0 0 3  0 0 0 0 0 0 1 | * * 2 * * * * * * * | 1 0 0 1 0
oox ... ...&#x  1 1 2 | 1 2 0  2 1 0 | 0 1 0  2 0 1 0 0 0 0 | * * * 6 * * * * * * | 0 1 1 0 0
... oox ...&#x  1 1 2 | 1 2 0  2 0 1 | 0 0 1  2 0 0 1 0 0 0 | * * * * 6 * * * * * | 0 1 0 1 0
... ... oxo&#x  1 2 1 | 2 1 1  2 0 0 | 1 0 0  2 0 0 0 1 0 0 | * * * * * 6 * * * * | 0 0 1 1 0
.ox .ox ...&#x  0 1 4 | 0 0 0  4 2 2 | 0 0 0  0 0 2 2 0 1 0 | * * * * * * 3 * * * | 0 1 0 0 1
.ox ... .xo&#x  0 2 2 | 0 0 1  4 1 0 | 0 0 0  0 0 2 0 2 0 0 | * * * * * * * 3 * * | 0 0 1 0 1
... .ox3.xo&#x  0 3 3 | 0 0 3  6 0 3 | 0 0 0  0 1 0 3 3 0 1 | * * * * * * * * 2 * | 0 0 0 1 1
..x ..x3..o     0 0 6 | 0 0 0  0 3 6 | 0 0 0  0 0 0 0 0 3 2 | * * * * * * * * * 1 | 1 0 0 0 1
---------------+-------+--------------+----------------------+---------------------+----------
o.x o.x3o.o&#x  1 0 6 | 0 6 0  0 3 6 | 0 3 6  0 0 0 0 0 3 2 | 0 3 2 0 0 0 0 0 0 1 | 1 * * * *
oox oox ...&#x  1 1 4 | 1 4 0  4 2 2 | 0 2 2  4 0 2 2 0 1 0 | 0 1 0 2 2 0 1 0 0 0 | * 3 * * *
oox ... oxo&#x  1 2 2 | 2 2 1  4 1 0 | 1 1 0  4 0 2 0 2 0 0 | 0 0 0 2 0 2 0 1 0 0 | * * 3 * *
... oox3oxo&#x  1 3 3 | 3 3 3  6 0 3 | 3 0 3  6 1 0 3 3 0 1 | 1 0 1 0 3 3 0 0 1 0 | * * * 2 *
.ox .ox3.xo&#x  0 3 6 | 0 0 3 12 3 6 | 0 0 0  0 1 6 6 6 3 2 | 0 0 0 0 0 0 3 3 2 1 | * * * * 1

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