Acronym  ... 
Name  hyperbolic order 5 square tiling 
©  
Circumradius  sqrt[sqrt(5)]/2 = 0.747674 i 
Vertex figure  [4^{5}] 
Dual  o4o5x 
Confer 

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Seen as an infinite abstract polytope, it further allows for a realization as infinite (pseudo)regular skew polyhedron too, described by a facial subset of one layer of the cubical honeycomb.
Incidence matrix according to Dynkin symbol
x4o5o (N → ∞) . . .  4N  5  5 +++ x . .  2  10N  2 +++ x4o .  4  4  5N snubbed forms: s4o5o
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