Acronym trawp (alt.: opea hip)
Name traw prism,
ope atop hip,
1/6-lune of icope
Circumradius sqrt(5)/2 = 1.118034
Lace city
in approx. ASCII-art
x o3x   x x3o
             
             
             
    x x3x    
Confer
uniform relative:
icope  
related segmentotera:
opeacope  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

xxx oxx3xox&#x   → all heights = sqrt(2/3) = 0.816497
                   height(12,3) = 1/sqrt(2) = 0.707107 (ope || hip)

o.. o..3o..    | 6 *  * | 1 2  2  2 0 0  0 0 0 0 | 2 1 2 1 2  2 2 1 2 0 0 0 0 0 0 0 0 | 1 1 2 1 2 1 2 1 2 1 0 0 0 0 0 | 1 1 2 1 1 0
.o. .o.3.o.    | * 6  * | 0 0  2  0 1 2  2 0 0 0 | 0 0 2 2 1  2 0 0 0 2 1 2 2 1 0 0 0 | 0 2 1 1 2 2 1 0 0 0 2 2 1 1 0 | 1 2 1 1 0 1
..o ..o3..o    | * * 12 | 0 0  0  1 0 0  1 1 1 1 | 0 0 0 0 0  1 1 1 1 0 0 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------------+--------+------------------------+------------------------------------+-------------------------------+------------
x.. ... ...    | 2 0  0 | 3 *  *  * * *  * * * * | 2 0 2 0 0  0 2 0 0 0 0 0 0 0 0 0 0 | 1 1 2 0 2 0 0 1 2 0 0 0 0 0 0 | 1 1 2 0 1 0
... ... x..    | 2 0  0 | * 6  *  * * *  * * * * | 1 1 0 0 1  0 0 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0
oo. oo.3oo.&#x | 1 1  0 | * * 12  * * *  * * * * | 0 0 1 1 1  1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
o.o o.o3o.o&#x | 1 0  1 | * *  * 12 * *  * * * * | 0 0 0 0 0  1 1 1 1 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.x. ... ...    | 0 2  0 | * *  *  * 3 *  * * * * | 0 0 2 0 0  0 0 0 0 2 0 2 0 0 0 0 0 | 0 2 1 0 2 0 0 0 0 0 1 2 1 0 0 | 1 2 1 0 0 1
... .x. ...    | 0 2  0 | * *  *  * * 6  * * * * | 0 0 0 1 0  0 0 0 0 1 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
.oo .oo3.oo&#x | 0 1  1 | * *  *  * * * 12 * * * | 0 0 0 0 0  1 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x ... ...    | 0 0  2 | * *  *  * * *  * 6 * * | 0 0 0 0 0  0 1 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
... ..x ...    | 0 0  2 | * *  *  * * *  * * 6 * | 0 0 0 0 0  0 0 1 0 0 0 0 1 0 1 0 1 | 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
... ... ..x    | 0 0  2 | * *  *  * * *  * * * 6 | 0 0 0 0 0  0 0 0 1 0 0 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------------+--------+------------------------+------------------------------------+-------------------------------+------------
x.. ... x..    | 4 0  0 | 2 2  0  0 0 0  0 0 0 0 | 3 * * * *  * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
... o..3x..    | 3 0  0 | 0 3  0  0 0 0  0 0 0 0 | * 2 * * *  * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
xx. ... ...&#x | 2 2  0 | 1 0  2  0 1 0  0 0 0 0 | * * 6 * *  * * * * * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... ox. ...&#x | 1 2  0 | 0 0  2  0 0 1  0 0 0 0 | * * * 6 *  * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
... ... xo.&#x | 2 1  0 | 0 1  2  0 0 0  0 0 0 0 | * * * * 6  * * * * * * * * * * * * | 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo ooo3ooo&#x | 1 1  1 | 0 0  1  1 0 0  1 0 0 0 | * * * * * 12 * * * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
x.x ... ...&#x | 2 0  2 | 1 0  0  2 0 0  0 1 0 0 | * * * * *  * 6 * * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... o.x ...&#x | 1 0  2 | 0 0  0  2 0 0  0 0 1 0 | * * * * *  * * 6 * * * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
... ... x.x&#x | 2 0  2 | 0 1  0  2 0 0  0 0 0 1 | * * * * *  * * * 6 * * * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x. .x. ...    | 0 4  0 | 0 0  0  0 2 2  0 0 0 0 | * * * * *  * * * * 3 * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
... .x.3.o.    | 0 3  0 | 0 0  0  0 0 3  0 0 0 0 | * * * * *  * * * * * 2 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.xx ... ...&#x | 0 2  2 | 0 0  0  0 1 0  2 1 0 0 | * * * * *  * * * * * * 6 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
... .xx ...&#x | 0 2  2 | 0 0  0  0 0 1  2 0 1 0 | * * * * *  * * * * * * * 6 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
... ... .ox&#x | 0 1  2 | 0 0  0  0 0 0  2 0 0 1 | * * * * *  * * * * * * * * 6 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x ..x ...    | 0 0  4 | 0 0  0  0 0 0  0 2 2 0 | * * * * *  * * * * * * * * * 3 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x ... ..x    | 0 0  4 | 0 0  0  0 0 0  0 2 0 2 | * * * * *  * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
... ..x3..x    | 0 0  6 | 0 0  0  0 0 0  0 0 3 3 | * * * * *  * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------------+--------+------------------------+------------------------------------+-------------------------------+------------
x.. o..3x..     6 0  0 | 3 6  0  0 0 0  0 0 0 0 | 3 2 0 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 0 1 0
xx. ox. ...&#x  2 4  0 | 1 0  4  0 2 2  0 0 0 0 | 0 0 2 2 0  0 0 0 0 1 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * | 1 1 0 0 0 0
xx. ... xo.&#x  4 2  0 | 2 2  4  0 1 0  0 0 0 0 | 1 0 2 0 2  0 0 0 0 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * | 1 0 1 0 0 0
... ox.3xo.&#x  3 3  0 | 0 3  6  0 0 3  0 0 0 0 | 0 1 0 3 3  0 0 0 0 0 1 0 0 0 0 0 0 | * * * 2 * * * * * * * * * * * | 1 0 0 1 0 0
xxx ... ...&#x  2 2  2 | 1 0  2  2 1 0  2 1 0 0 | 0 0 1 0 0  2 1 0 0 0 0 1 0 0 0 0 0 | * * * * 6 * * * * * * * * * * | 0 1 1 0 0 0
... oxx ...&#x  1 2  2 | 0 0  2  2 0 1  2 0 1 0 | 0 0 0 1 0  2 0 1 0 0 0 0 1 0 0 0 0 | * * * * * 6 * * * * * * * * * | 0 1 0 1 0 0
... ... xox&#x  2 1  2 | 0 1  2  2 0 0  2 0 0 1 | 0 0 0 0 1  2 0 0 1 0 0 0 0 1 0 0 0 | * * * * * * 6 * * * * * * * * | 0 0 1 1 0 0
x.x o.x ...&#x  2 0  4 | 1 0  0  4 0 0  0 2 2 0 | 0 0 0 0 0  0 2 2 0 0 0 0 0 0 1 0 0 | * * * * * * * 3 * * * * * * * | 0 1 0 0 1 0
x.x ... x.x&#x  4 0  4 | 2 2  0  4 0 0  0 2 0 2 | 1 0 0 0 0  0 2 0 2 0 0 0 0 0 0 1 0 | * * * * * * * * 3 * * * * * * | 0 0 1 0 1 0
... o.x3x.x&#x  3 0  6 | 0 3  0  6 0 0  0 0 3 3 | 0 1 0 0 0  0 0 3 3 0 0 0 0 0 0 0 1 | * * * * * * * * * 2 * * * * * | 0 0 0 1 1 0
.x. .x.3.o.     0 6  0 | 0 0  0  0 3 6  0 0 0 0 | 0 0 0 0 0  0 0 0 0 3 2 0 0 0 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx .xx ...&#x  0 4  4 | 0 0  0  0 2 2  4 2 2 0 | 0 0 0 0 0  0 0 0 0 1 0 2 2 0 1 0 0 | * * * * * * * * * * * 3 * * * | 0 1 0 0 0 1
.xx ... .ox&#x  0 2  4 | 0 0  0  0 1 0  4 2 0 2 | 0 0 0 0 0  0 0 0 0 0 0 2 0 2 0 1 0 | * * * * * * * * * * * * 3 * * | 0 0 1 0 0 1
... .xx3.ox&#x  0 3  6 | 0 0  0  0 0 3  6 0 3 3 | 0 0 0 0 0  0 0 0 0 0 1 0 3 3 0 0 1 | * * * * * * * * * * * * * 2 * | 0 0 0 1 0 1
..x ..x3..x     0 0 12 | 0 0  0  0 0 0  0 6 6 6 | 0 0 0 0 0  0 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------------+--------+------------------------+------------------------------------+-------------------------------+------------
xx. ox.3xo.&#x  6 6  0 | 3 6 12  0 3 6  0 0 0 0 | 3 2 6 6 6  0 0 0 0 3 2 0 0 0 0 0 0 | 1 3 3 2 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
xxx oxx ...&#x  2 4  4 | 1 0  4  4 2 2  4 2 2 0 | 0 0 2 2 0  4 2 2 0 1 0 2 2 0 1 0 0 | 0 1 0 0 2 2 0 1 0 0 0 1 0 0 0 | * 3 * * * *
xxx ... xox&#x  4 2  4 | 2 2  4  4 1 0  4 2 0 2 | 1 0 2 0 2  4 2 0 2 0 0 2 0 2 0 1 0 | 0 0 1 0 2 0 2 0 1 0 0 0 1 0 0 | * * 3 * * *
... oxx3xox&#x  3 3  6 | 0 3  6  6 0 3  6 0 3 3 | 0 1 0 3 3  6 0 3 3 0 1 0 3 3 0 0 1 | 0 0 0 1 0 3 3 0 0 1 0 0 0 1 0 | * * * 2 * *
x.x o.x3x.x&#x  6 0 12 | 3 6  0 12 0 0  0 6 6 6 | 3 2 0 0 0  0 6 6 6 0 0 0 0 0 3 3 2 | 1 0 0 0 0 0 0 3 3 2 0 0 0 0 1 | * * * * 1 *
.xx .xx3.ox&#x  0 6 12 | 0 0  0  0 3 6 12 6 6 6 | 0 0 0 0 0  0 0 0 0 3 2 6 6 6 3 3 2 | 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 | * * * * * 1

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