Acronym pexhix (alt.: triddipah)
Name partially expanded hexateron,
triangle-triangle duoprism atop hexagon
Circumradius sqrt(11/8) = 1.172604
Lace hyper city
in approx. ASCII-art
      x3x      
       x3o     
x3o            
            x3o
(shallow triangular pyramid with {6}-tip and {3} for base vertices)
Confer
uniform relative:
hix  
related segmentotera:
pabex hix  
general polytopal classes:
partial Stott expansions   segmentotera  

This polyteron can be obtained from hix by partial Stott expanding within axial duoprismatic subsymmetry only. – A further expansion in the same sequence then leads to the scaliform relative, pabex hix.


Incidence matrix according to Dynkin symbol

xx3xo ox3oo&#x   → height = 1/sqrt(3) = 0.577350
({6} || para triddip)

o.3o. o.3o.    | 6 * | 1 1  3 0 0 | 1 3 3  3 0 0 0 | 3 3 3 1 0 0 | 3 1 1 0
.o3.o .o3.o    | * 9 | 0 0  2 2 2 | 0 2 1  2 1 4 1 | 1 4 2 2 2 2 | 2 2 1 1
---------------+-----+------------+----------------+-------------+--------
x. .. .. ..    | 2 0 | 3 *  * * * | 1 3 0  0 0 0 0 | 3 3 0 0 0 0 | 3 1 0 0
.. x. .. ..    | 2 0 | * 3  * * * | 1 0 3  0 0 0 0 | 3 0 3 0 0 0 | 3 0 1 0
oo3oo oo3oo&#x | 1 1 | * * 18 * * | 0 1 1  2 0 0 0 | 1 2 2 1 0 0 | 2 1 1 0
.x .. .. ..    | 0 2 | * *  * 9 * | 0 1 0  0 1 2 0 | 1 2 0 0 2 1 | 2 1 0 1
.. .. .x ..    | 0 2 | * *  * * 9 | 0 0 0  2 0 2 1 | 0 2 1 2 1 2 | 1 2 1 1
---------------+-----+------------+----------------+-------------+--------
x.3x. .. ..    | 6 0 | 3 3  0 0 0 | 1 * *  * * * * | 3 0 0 0 0 0 | 3 0 0 0
xx .. .. ..&#x | 2 2 | 1 0  2 1 0 | * 9 *  * * * * | 1 2 0 0 0 0 | 2 1 0 0
.. xo .. ..&#x | 2 1 | 0 1  2 0 0 | * * 9  * * * * | 1 0 2 0 0 0 | 2 0 1 0
.. .. ox ..&#x | 1 2 | 0 0  2 0 1 | * * * 18 * * * | 0 1 1 1 0 0 | 1 1 1 0
.x3.o .. ..    | 0 3 | 0 0  0 3 0 | * * *  * 3 * * | 1 0 0 0 2 0 | 2 0 0 1
.x .. .x ..    | 0 4 | 0 0  0 2 2 | * * *  * * 9 * | 0 1 0 0 1 1 | 1 1 0 1
.. .. .x3.o    | 0 3 | 0 0  0 0 3 | * * *  * * * 3 | 0 0 0 2 0 2 | 0 2 1 1
---------------+-----+------------+----------------+-------------+--------
xx3xo .. ..&#x  6 3 | 3 3  6 3 0 | 1 3 3  0 1 0 0 | 3 * * * * * | 2 0 0 0
xx .. ox ..&#x  2 4 | 1 0  4 2 2 | 0 2 0  2 0 1 0 | * 9 * * * * | 1 1 0 0
.. xo ox ..&#x  2 2 | 0 1  4 0 1 | 0 0 2  2 0 0 0 | * * 9 * * * | 1 0 1 0
.. .. ox3oo&#x  1 3 | 0 0  3 0 3 | 0 0 0  3 0 0 1 | * * * 6 * * | 0 1 1 0
.x3.o .x ..     0 6 | 0 0  0 6 3 | 0 0 0  0 2 3 0 | * * * * 3 * | 1 0 0 1
.x .. .x3.o     0 6 | 0 0  0 3 6 | 0 0 0  0 0 3 2 | * * * * * 3 | 0 1 0 1
---------------+-----+------------+----------------+-------------+--------
xx3xo ox ..&#x  6 6 | 3 3 12 6 3 | 1 6 6  6 2 3 0 | 2 3 3 0 1 0 | 3 * * *
xx .. ox3oo&#x  2 6 | 1 0  6 3 6 | 0 3 0  6 0 3 2 | 0 3 0 2 0 1 | * 3 * *
.. xo ox3oo&#x  2 3 | 0 1  6 0 3 | 0 0 3  6 0 0 1 | 0 0 3 2 0 0 | * * 3 *
.x3.o .x3.o     0 9 | 0 0  0 9 9 | 0 0 0  0 3 9 3 | 0 0 0 0 3 3 | * * * 1

oox oxo3xxx&#x   → height(1,2) = sqrt(2/3) = 0.816497
                   height(1,3) = sqrt(3)/2 = 0.866025
                   height(2,3) = sqrt(5/12) = 0.645497
                   height(2,13) = 1/sqrt(3) = 0.577350
({6} || para triddip)

o.. o..3o..    | 3 * * | 2 2 2 0 0  0 0 0 | 1 1 2 1 4  4 0 0 0 0 0 0 | 1 2 2 2 2 4 0 0 0 0 | 1 1 2 2 0
.o. .o.3.o.    | * 6 * | 0 1 0 1 1  2 0 0 | 0 1 1 0 0  2 1 1 2 2 0 0 | 1 0 0 1 2 2 1 1 2 0 | 0 1 1 2 1
..o ..o3..o    | * * 6 | 0 0 1 0 0  2 1 2 | 0 0 0 1 2  2 0 2 1 2 2 1 | 0 2 1 2 1 2 1 2 1 1 | 1 1 2 1 1
---------------+-------+------------------+--------------------------+---------------------+----------
... ... x..    | 2 0 0 | 3 * * * *  * * * | 1 0 1 0 2  0 0 0 0 0 0 0 | 1 1 2 0 0 2 0 0 0 0 | 1 0 1 2 0
oo. oo.3oo.&#x | 1 1 0 | * 6 * * *  * * * | 0 1 1 0 0  2 0 0 0 0 0 0 | 1 0 0 1 2 2 0 0 0 0 | 0 1 1 2 0
o.o o.o3o.o&#x | 1 0 1 | * * 6 * *  * * * | 0 0 0 1 2  2 0 0 0 0 0 0 | 0 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0
... .x. ...    | 0 2 0 | * * * 3 *  * * * | 0 1 0 0 0  0 1 0 2 0 0 0 | 1 0 0 0 2 0 1 0 2 0 | 0 1 0 2 1
... ... .x.    | 0 2 0 | * * * * 3  * * * | 0 0 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 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 0 0 1 0  0 0 2 0 0 2 0 | 0 2 0 2 0 0 1 2 0 1 | 1 1 2 0 1
... ... ..x    | 0 0 2 | * * * * *  * * 6 | 0 0 0 0 1  0 0 0 0 1 1 1 | 0 1 1 0 0 1 0 1 1 1 | 1 0 1 1 1
---------------+-------+------------------+--------------------------+---------------------+----------
... o..3x..    | 3 0 0 | 3 0 0 0 0  0 0 0 | 1 * * * *  * * * * * * * | 1 0 2 0 0 0 0 0 0 0 | 1 0 0 2 0
... ox. ...&#x | 1 2 0 | 0 2 0 1 0  0 0 0 | * 3 * * *  * * * * * * * | 1 0 0 0 2 0 0 0 0 0 | 0 1 0 2 0
... ... xx.&#x | 2 2 0 | 1 2 0 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 0 2 0 0  0 1 0 | * * * 3 *  * * * * * * * | 0 2 0 2 0 0 0 0 0 0 | 1 1 2 0 0
... ... x.x&#x | 2 0 2 | 1 0 2 0 0  0 0 1 | * * * * 6  * * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 0  1 0 0 | * * * * * 12 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
... .x.3.x.    | 0 6 0 | 0 0 0 3 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 0 0  2 1 0 | * * * * *  * * 6 * * * * | 0 0 0 1 0 0 1 1 0 0 | 0 1 1 0 1
... .xo ...&#x | 0 2 1 | 0 0 0 1 0  2 0 0 | * * * * *  * * * 6 * * * | 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 1  2 0 1 | * * * * *  * * * * 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 0  0 2 2 | * * * * *  * * * * * 3 * | 0 1 0 0 0 0 0 1 0 1 | 1 0 1 0 1
... ..o3..x    | 0 0 3 | 0 0 0 0 0  0 0 3 | * * * * *  * * * * * * 2 | 0 0 1 0 0 0 0 0 1 1 | 1 0 0 1 1
---------------+-------+------------------+--------------------------+---------------------+----------
... ox.3xx.&#x  3 6 0 | 3 6 0 3 3  0 0 0 | 1 3 3 0 0  0 1 0 0 0 0 0 | 1 * * * * * * * * * | 0 0 0 2 0
o.x ... x.x&#x  2 0 4 | 1 0 4 0 0  0 2 2 | 0 0 0 2 2  0 0 0 0 0 1 0 | * 3 * * * * * * * * | 1 0 1 0 0
... o.o3x.x&#x  3 0 3 | 3 0 3 0 0  0 0 3 | 1 0 0 0 3  0 0 0 0 0 0 1 | * * 2 * * * * * * * | 1 0 0 1 0
oox ... ...&#x  1 1 2 | 0 1 2 0 0  2 1 0 | 0 0 0 1 0  2 0 1 0 0 0 0 | * * * 6 * * * * * * | 0 1 1 0 0
... oxo ...&#x  1 2 1 | 0 2 1 1 0  2 0 0 | 0 1 0 0 0  2 0 0 1 0 0 0 | * * * * 6 * * * * * | 0 1 0 1 0
... ... xxx&#x  2 2 2 | 1 2 2 0 1  2 0 1 | 0 0 1 0 1  2 0 0 0 1 0 0 | * * * * * 6 * * * * | 0 0 1 1 0
.ox .xo ...&#x  0 2 2 | 0 0 0 1 0  4 1 0 | 0 0 0 0 0  0 0 2 2 0 0 0 | * * * * * * 3 * * * | 0 1 0 0 1
.ox ... .xx&#x  0 2 4 | 0 0 0 0 1  4 2 2 | 0 0 0 0 0  0 0 2 0 2 1 0 | * * * * * * * 3 * * | 0 0 1 0 1
... .xo3.xx&#x  0 6 3 | 0 0 0 3 3  6 0 3 | 0 0 0 0 0  0 1 0 3 3 0 1 | * * * * * * * * 2 * | 0 0 0 1 1
..x ..o3..x     0 0 6 | 0 0 0 0 0  0 3 6 | 0 0 0 0 0  0 0 0 0 0 3 2 | * * * * * * * * * 1 | 1 0 0 0 1
---------------+-------+------------------+--------------------------+---------------------+----------
o.x o.o3x.x&#x  3 0 6 | 3 0 6 0 0  0 3 6 | 1 0 0 3 6  0 0 0 0 0 3 2 | 0 3 2 0 0 0 0 0 0 1 | 1 * * * *
oox oxo ...&#x  1 2 2 | 0 2 2 1 0  4 1 0 | 0 1 0 1 0  4 0 2 2 0 0 0 | 0 0 0 2 2 0 1 0 0 0 | * 3 * * *
oox ... xxx&#x  2 2 4 | 1 2 4 0 1  4 2 2 | 0 0 1 2 2  4 0 2 0 2 1 0 | 0 1 0 2 0 2 0 1 0 0 | * * 3 * *
... oxo3xxx&#x  3 6 3 | 3 6 3 3 3  6 0 3 | 1 3 3 0 3  6 1 0 3 3 0 1 | 1 0 1 0 3 3 0 0 1 0 | * * * 2 *
.ox .xo3.xx&#x  0 6 6 | 0 0 0 3 3 12 3 6 | 0 0 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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