Acronym gyesp, J10
Name gyroelongated square pyramid
 
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Vertex figure [34], [35], [33,4]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Face vector 9, 20, 13
Confer
blend-component:
squippy   squap  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   polytopewiki   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

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

o..4o..    | 1 * * | 4 0 0 0 | 4 0 0 0
.o.4.o.    | * 4 * | 1 2 2 0 | 2 2 1 0
..o4..o    | * * 4 | 0 0 2 2 | 0 1 2 1
-----------+-------+---------+--------
oo.4oo.&#x | 1 1 0 | 4 * * * | 2 0 0 0
.x. ...    | 0 2 0 | * 4 * * | 1 1 0 0
.oo4.oo&#x | 0 1 1 | * * 8 * | 0 1 1 0
... ..x    | 0 0 2 | * * * 4 | 0 0 1 1
-----------+-------+---------+--------
ox. ...&#x | 1 2 0 | 2 1 0 0 | 4 * * *
.xo ...&#x | 0 2 1 | 0 1 2 0 | * 4 * *
... .ox&#x | 0 1 2 | 0 0 2 1 | * * 4 *
..x4..o    | 0 0 4 | 0 0 0 4 | * * * 1

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