Acronym escu, J19
Name elongated square cupola,
diminished small rhombicuboctahedron
 
 © ©
Circumradius sqrt[5+2 sqrt(2)]/2 = 1.398966
Vertex figures [3,43], [42,8]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {4}:   arccos(-sqrt(2/3)) = 144.735610°
  • between {4} and {4}:   135°
  • between {4} and {8}:   90°
Confer
uniform relative:
op   sirco  
related Johnson solids:
squacu   esquigybcu  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxx4oxx&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                height(2,3) = 1
({4} || pseudo {8} || {8})

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

© 2004-2018
top of page