Acronym squigybcu, J29
Name square gyrobicupola
 
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Vertex figure [3,43], [(3,4)2]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {4} (at squacu lacings):   arccos(-sqrt(2/3)) = 144.735610°
  • between {4} and {4}:   135°
  • between {3} and {4} (equatorial edges):   arccos(-sqrt[(3-2 sqrt(2))/6]) = 99.735610°
Confer
uniform relative:
sirco  
related Johnson solids:
squacu   squobcu  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxo4oxx&#xt   → both heights = 1/sqrt(2) = 0.707107
({4} || pseudo {8} || dual {4})

o..4o..    | 4 * * | 2 2 0 0 0 0 | 1 2 1 0 0 0
.o.4.o.    | * 8 * | 0 1 1 1 1 0 | 0 1 1 1 1 0
..o4..o    | * * 4 | 0 0 0 0 2 2 | 0 0 0 1 2 1
-----------+-------+-------------+------------
x.. ...    | 2 0 0 | 4 * * * * * | 1 1 0 0 0 0
oo.4oo.&#x | 1 1 0 | * 8 * * * * | 0 1 1 0 0 0
.x. ...    | 0 2 0 | * * 4 * * * | 0 1 0 1 0 0
... .x.    | 0 2 0 | * * * 4 * * | 0 0 1 0 1 0
.oo4.oo&#x | 0 1 1 | * * * * 8 * | 0 0 0 1 1 0
... ..x    | 0 0 2 | * * * * * 4 | 0 0 0 0 1 1
-----------+-------+-------------+------------
x..4o..    | 4 0 0 | 4 0 0 0 0 0 | 1 * * * * *
xx. ...&#x | 2 2 0 | 1 2 1 0 0 0 | * 4 * * * *
... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * * 4 * * *
.xo ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * 4 * *
... .xx&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * 4 *
..o4..x    | 0 0 4 | 0 0 0 0 0 4 | * * * * * 1
or
o..4o..    & | 8 * | 2  2 0 | 1 2 1
.o.4.o.      | * 8 | 0  2 2 | 0 2 2
-------------+-----+--------+------
x.. ...    & | 2 0 | 8  * * | 1 1 0
oo.4oo.&#x & | 1 1 | * 16 * | 0 1 1
.x. ...    & | 0 2 | *  * 8 | 0 1 1
-------------+-----+--------+------
x..4o..    & | 4 0 | 4  0 0 | 2 * *
xx. ...&#x & | 2 2 | 1  2 1 | * 8 *
... ox.&#x & | 1 2 | 0  2 1 | * * 8

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