Acronym squappy
Name square-antiprismatical pyramid
Segmentochoron display
Circumradius sqrt[(4+sqrt(2))/7] = 0.879465
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
more general:
n-appy  
related CRFs:
squapt  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

pt || squap   → height = sqrt[(4-sqrt(2))/8] = 0.568527

1 *  8 0 0 | 8 8 0 0 | 2 8 0
* 8 | 1 2 2 | 2 2 1 3 | 1 3 1
----+-------+---------+------
1 1 | 8 * * | 2 2 0 0 | 1 3 0
0 2 | * 8 * | 1 0 1 1 | 1 1 1
0 2 | * * 8 | 0 1 0 2 | 0 2 1
----+-------+---------+------
1 2 | 2 1 0 | 8 * * * | 1 1 0
1 2 | 2 0 1 | * 8 * * | 0 2 0
0 4 | 0 4 0 | * * 2 * | 1 0 1  {4}
0 3 | 0 1 2 | * * * 8 | 0 1 1
----+-------+---------+------
1 4 | 4 4 0 | 4 0 1 0 | 2 * *  squippy
1 3 | 3 1 2 | 1 2 0 1 | * 8 *  tet
0 8 | 0 8 8 | 0 0 2 8 | * * 1  squap

oxo4oox&#x   → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
               height(2,3) = 1/sqrt(sqrt(2)) = 0.840896
( (pt || dual {4}) || {4})

o..4o..    | 1 * *  4 4 0 0 0 | 4 4 8 0 0 0 0 | 1 1 4 4 0
.o.4.o.    | * 4 * | 1 0 2 2 0 | 2 0 2 1 2 1 0 | 1 0 2 1 1
..o4..o    | * * 4 | 0 1 0 2 2 | 0 2 2 0 1 2 1 | 0 1 1 2 1
-----------+-------+-----------+---------------+----------
oo.4oo.&#x | 1 1 0 | 4 * * * * | 2 0 2 0 0 0 0 | 1 0 2 1 0
o.o4o.o&#x | 1 0 1 | * 4 * * * | 0 2 2 0 0 0 0 | 0 1 1 2 0
.x. ...    | 0 2 0 | * * 4 * * | 1 0 0 1 1 0 0 | 1 0 1 0 1
.oo4.oo&#x | 0 1 1 | * * * 8 * | 0 0 1 0 1 1 0 | 0 0 1 1 1
... ..x    | 0 0 2 | * * * * 4 | 0 1 0 0 0 1 1 | 0 1 0 1 1
-----------+-------+-----------+---------------+----------
ox. ...&#x | 1 2 0 | 2 0 1 0 0 | 4 * * * * * * | 1 0 1 0 0
... o.x&#x | 1 0 2 | 0 2 0 0 1 | * 4 * * * * * | 0 1 0 1 0
ooo4ooo&#x | 1 1 1 | 1 1 0 1 0 | * * 8 * * * * | 0 0 1 1 0
.x.4.o.    | 0 4 0 | 0 0 4 0 0 | * * * 1 * * * | 1 0 0 0 1
.xo ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * 4 * * | 0 0 1 0 1
... .ox&#x | 0 1 2 | 0 0 0 2 1 | * * * * * 4 * | 0 0 0 1 1
..o4..x    | 0 0 4 | 0 0 0 0 4 | * * * * * * 1 | 0 1 0 0 1
-----------+-------+-----------+---------------+----------
ox.4oo.&#x  1 4 0 | 4 0 4 0 0 | 4 0 0 1 0 0 0 | 1 * * * *
o.o4o.x&#x  1 0 4 | 0 4 0 0 4 | 0 4 0 0 0 0 1 | * 1 * * *
oxo ...&#x  1 2 1 | 2 1 1 2 0 | 1 0 2 0 1 0 0 | * * 4 * *
... oox&#x  1 1 2 | 1 2 0 2 1 | 0 1 2 0 0 1 0 | * * * 4 *
.xo4.ox&#x  0 4 4 | 0 0 4 8 4 | 0 0 0 1 4 4 1 | * * * * 1

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