Acronym squippyippy
Name square-pyramidal-prismatic pyramid,
half of vertex pyramid of rectified triacontiditeron
|,>,O device line prism pyramid prism pyramid = ||>|>
Circumradius 1
Lace city
in approx. ASCII-art 
o   V              
            V=squippy
V           o=point
Face vector 11, 31, 39, 25, 8
Confer
uniform relative:
rat  
related segmentotera:
opepy  
general polytopal classes:
segmentotera   lace simplices   scalene  

Incidence matrix according to Dynkin symbol

oox oox oxx&#x   → height(1,2) = sqrt(3)/2 = 0.866025
                   height(1,3) = 1/2
                   height(2,3) = 1/sqrt(2) = 0.707107

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


ooxx oxxx&#x   → height(1,2) = height(2,3) = height(2,4) = sqrt(3)/2 = 0.866025
               height(1,3) = height(1,4) = 1/sqrt(2) = 0.707107
               height(3,4) = 1
               height(1,234) = 1/2 (pt || squippyp)
               height(2,134) = 1/sqrt(2) = 0.707107 (line || cubpy, shift of line = 1/2)

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

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