Acronym cubpyp
Name cubpy prism
|,>,O device line prism prism pyramid prism = |||>|
Circumradius sqrt(5)/2 = 1.118034
Lace city
in approx. ASCII-art
       x o o       
                   
                   
                   
x x x         x x x
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xx oo3oo4ox&#x   → height = 1/2
(line || tes)

o. o.3o.4o.    | 2  * | 1  8 0  0 | 8 12  0  0 | 12  6 0 0 | 6 1 0
.o .o3.o4.o    | * 16 | 0  1 1  3 | 1  3  3  3 |  3  3 3 1 | 3 1 1
---------------+------+-----------+------------+-----------+------
x. .. .. ..    | 2  0 | 1  * *  *  8  0  0  0 | 12  0 0 0 | 6 0 0
oo oo3oo4oo&#x | 1  1 | * 16 *  * | 1  3  0  0 |  3  3 0 0 | 3 1 0
.x .. .. ..    | 0  2 | *  * 8  * | 1  0  3  0 |  3  0 3 0 | 3 0 1
.. .. .. .x    | 0  2 | *  * * 24 | 0  1  1  2 |  1  2 2 1 | 2 1 1
---------------+------+-----------+------------+-----------+------
xx .. .. ..&#x | 2  2 | 1  2 1  0 | 8  *  *  * |  3  0 0 0 | 3 0 0
.. .. .. ox&#x | 1  2 | 0  2 0  1 | * 24  *  * |  1  2 0 0 | 2 1 0
.x .. .. .x    | 0  4 | 0  0 2  2 | *  * 12  * |  1  0 2 0 | 2 0 1
.. .. .o4.x    | 0  4 | 0  0 0  4 | *  *  * 12 |  0  1 1 1 | 1 1 1
---------------+------+-----------+------------+-----------+------
xx .. .. ox&#x  2  4 | 1  4 2  2 | 2  2  1  0 | 12  * * * | 2 0 0
.. .. oo4ox&#x  1  4 | 0  4 0  4 | 0  4  0  1 |  * 12 * * | 1 1 0
.x .. .o4.x     0  8 | 0  0 4  8 | 0  0  4  2 |  *  * 6 * | 1 0 1
.. .o3.o4.x     0  8 | 0  0 0 12 | 0  0  0  6 |  *  * * 2 | 0 1 1
---------------+------+-----------+------------+-----------+------
xx .. oo4ox&#x  2  8 | 1  8 4  8 | 4  8  4  2 |  4  2 1 0 | 6 * *
.. oo3oo4ox&#x  1  8 | 0  8 0 12 | 0 12  0  6 |  0  6 0 1 | * 2 *
.x .o3.o4.x     0 16 | 0  0 8 24 | 0  0 12 12 |  0  0 6 2 | * * 1

oxx oxx xxx&#x   → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
                   height(2,3) = 1

o.. o.. o..    | 2 * * | 1 4 4 0 0 0 0 0 0 0 | 2 2 4 2 2 4 4 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 2 2 2 4 0 0 0 0 0 | 1 1 1 2 2 0
.o. .o. .o.    | * 8 * | 0 1 0 1 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 1 1 1 1 0 | 1 0 1 1 1 1
..o ..o ..o    | * * 8 | 0 0 1 0 0 0 1 1 1 1 | 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------------+-------+---------------------+---------------------------------+-----------------------------+------------
... ... x..    | 2 0 0 | 1 * * * * * * * * *  0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 | 0 2 2 0 2 2 0 0 4 0 0 0 0 0 | 1 1 0 2 2 0
oo. oo. oo.&#x | 1 1 0 | * 8 * * * * * * * * | 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 | 1 0 1 1 1 0
o.o o.o o.o&#x | 1 0 1 | * * 8 * * * * * * * | 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 | * * * 4 * * * * * * | 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | 1 1 0 0 0 0 1 0 0 1 1 1 0 0 | 1 0 1 1 0 1
... .x. ...    | 0 2 0 | * * * * 4 * * * * * | 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 0 0 0 0 1 0 1 1 0 1 0 | 1 0 1 0 1 1
... ... .x.    | 0 2 0 | * * * * * 4 * * * * | 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 | 0 1 1 0 0 0 0 0 1 1 0 1 1 0 | 1 0 0 1 1 1
.oo .oo .oo&#x | 0 1 1 | * * * * * * 8 * * * | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 1 1 1 0 1 1 1 0 | 0 0 1 1 1 1
..x ... ...    | 0 0 2 | * * * * * * * 4 * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 0 1 0 0 0 1 1 0 1 | 0 1 1 1 0 1
... ..x ...    | 0 0 2 | * * * * * * * * 4 * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 | 0 0 0 1 0 1 0 1 0 0 1 0 1 1 | 0 1 1 0 1 1
... ... ..x    | 0 0 2 | * * * * * * * * * 4 | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 1 0 0 1 0 0 1 1 1 | 0 1 0 1 1 1
---------------+-------+---------------------+---------------------------------+-----------------------------+------------
ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
... ox. ...&#x | 1 2 0 | 0 2 0 0 1 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
... ... xx.&#x | 2 2 0 | 1 2 0 0 0 1 0 0 0 0 | * * 4 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 0 0 1 0 0 | * * * 4 * * * * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
... o.x ...&#x | 1 0 2 | 0 0 2 0 0 0 0 0 1 0 | * * * * 4 * * * * * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 0 0 0 1 | * * * * * 4 * * * * * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 0 0 | 0 1 0 1 1 0
ooo ooo ooo&#x | 1 1 1 | 0 1 1 0 0 0 1 0 0 0 | * * * * * * 8 * * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x. .x. ...    | 0 4 0 | 0 0 0 2 2 0 0 0 0 0 | * * * * * * * 2 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 0 1 0 0 1
.x. ... .x.    | 0 4 0 | 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * 2 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 0 1 0 1
... .x. .x.    | 0 4 0 | 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * 2 * * * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 0 1 1
.xx ... ...&#x | 0 2 2 | 0 0 0 1 0 0 2 1 0 0 | * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 1 1 0 1
... .xx ...&#x | 0 2 2 | 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 0 | 0 0 1 0 1 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 1
..x ..x ...    | 0 0 4 | 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * 2 * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 | 0 1 1 0 0 1
..x ... ..x    | 0 0 4 | 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * 2 * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 | 0 1 0 1 0 1
... ..x ..x    | 0 0 4 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 1 0 0 1 1
---------------+-------+---------------------+---------------------------------+-----------------------------+------------
ox. ox. ...&#x  1 4 0 | 0 4 0 2 2 0 0 0 0 0 | 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * | 1 0 1 0 0 0
ox. ... xx.&#x  2 4 0 | 1 4 0 2 0 2 0 0 0 0 | 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 1 0 0 1 0 0
... ox. xx.&#x  2 4 0 | 1 4 0 0 2 2 0 0 0 0 | 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * | 1 0 0 0 1 0
o.x o.x ...&#x  1 0 4 | 0 0 4 0 0 0 0 2 2 0 | 0 0 0 2 2 0 0 0 0 0 0 0 0 1 0 0 | * * * 2 * * * * * * * * * * | 0 1 1 0 0 0
o.x ... x.x&#x  2 0 4 | 1 0 4 0 0 0 0 2 0 2 | 0 0 0 2 0 2 0 0 0 0 0 0 0 0 1 0 | * * * * 2 * * * * * * * * * | 0 1 0 1 0 0
... o.x x.x&#x  2 0 4 | 1 0 4 0 0 0 0 0 2 2 | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 1 | * * * * * 2 * * * * * * * * | 0 1 0 0 1 0
oxx ... ...&#x  1 2 2 | 0 2 2 1 0 0 2 1 0 0 | 1 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 | * * * * * * 4 * * * * * * * | 0 0 1 1 0 0
... oxx ...&#x  1 2 2 | 0 2 2 0 1 0 2 0 1 0 | 0 1 0 0 1 0 2 0 0 0 0 1 0 0 0 0 | * * * * * * * 4 * * * * * * | 0 0 1 0 1 0
... ... xxx&#x  2 2 2 | 1 2 2 0 0 1 2 0 0 1 | 0 0 1 0 0 1 2 0 0 0 0 0 1 0 0 0 | * * * * * * * * 4 * * * * * | 0 0 0 1 1 0
.x. .x. .x.     0 8 0 | 0 0 0 4 4 4 0 0 0 0 | 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 | * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx .xx ...&#x  0 4 4 | 0 0 0 2 2 0 4 2 2 0 | 0 0 0 0 0 0 0 1 0 0 2 2 0 1 0 0 | * * * * * * * * * * 2 * * * | 0 0 1 0 0 1
.xx ... .xx&#x  0 4 4 | 0 0 0 2 0 2 4 2 0 2 | 0 0 0 0 0 0 0 0 1 0 2 0 2 0 1 0 | * * * * * * * * * * * 2 * * | 0 0 0 1 0 1
... .xx .xx&#x  0 4 4 | 0 0 0 0 2 2 4 0 2 2 | 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 1 | * * * * * * * * * * * * 2 * | 0 0 0 0 1 1
..x ..x ..x     0 0 8 | 0 0 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 | * * * * * * * * * * * * * 1 | 0 1 0 0 0 1
---------------+-------+---------------------+---------------------------------+-----------------------------+------------
ox. ox. xx.&#x  2 8 0 | 1 8 0 4 4 4 0 0 0 0 | 4 4 4 0 0 0 0 2 2 2 0 0 0 0 0 0 | 2 2 2 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
o.x o.x x.x&#x  2 0 8 | 1 0 8 0 0 0 0 4 4 4 | 0 0 0 4 4 4 0 0 0 0 0 0 0 2 2 2 | 0 0 0 2 2 2 0 0 0 0 0 0 0 1 | * 1 * * * *
oxx oxx ...&#x  1 4 4 | 0 4 4 2 2 0 4 2 2 0 | 2 2 0 2 2 0 4 1 0 0 2 2 0 1 0 0 | 1 0 0 1 0 0 2 2 0 0 1 0 0 0 | * * 2 * * *
oxx ... xxx&#x  2 4 4 | 1 4 4 2 0 2 4 2 0 2 | 2 0 2 2 0 2 4 0 1 0 2 0 2 0 1 0 | 0 1 0 0 1 0 2 0 2 0 0 1 0 0 | * * * 2 * *
... oxx xxx&#x  2 4 4 | 1 4 4 0 2 2 4 0 2 2 | 0 2 2 0 2 2 4 0 0 1 0 2 2 0 0 1 | 0 0 1 0 0 1 0 2 2 0 0 0 1 0 | * * * * 2 *
.xx .xx .xx&#x  0 8 8 | 0 0 0 4 4 4 8 4 4 4 | 0 0 0 0 0 0 0 2 2 2 4 4 4 2 2 2 | 0 0 0 0 0 0 0 0 0 1 2 2 2 1 | * * * * * 1

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