Edge-snub square prismatic honeycomb

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Edge-snub square prismatic honeycomb
Rank4
TypeIsogonal
SpaceEuclidean
Notation
Coxeter diagrams∞o2s4s4x
Elements
Cells2N wedges, N rectangular trapezoprisms, N square gyroprisms
Faces8N scalene triangles, 4N isosceles trapezoids, N+2N rectangles, N squares
Edges2N+2N+4N+4N+4N
Vertices4N
Vertex figureTriangular-pentagonal orthobigyrowedge
Measures (based on truncated square prismatic honeycomb of edge length 1)
Edge lengthsRemaining original edges (3N): 1
 Diagonals of original squares (4N+4N):
 Diagonals of original ditetragons (4N):
 Long edges of rectangles (2N):
Related polytopes
DualSquare isosceles trapezoidal-hexagonal orthowedge honeycomb
Abstract & topological properties
OrientableYes
Properties
Symmetry(R3+❘W2)+
ConvexYes
NatureTame

The edge-snub square prismatic honeycomb is an isogonal honeycomb that consists of square gyroprisms, rectangular trapezoprisms, and wedges. 2 square gyroprisms, 2 rectangular trapezoprisms, and 6 wedges join at each vertex. It can be obtained as a subsymmetrical faceting of the truncated square prismatic honeycomb, faceting half of the octagons into rectangles. However, it cannot be made uniform

The sectioning facet underneath the alternatingly omitted edge of the prismatic pre-image honeycomb clearly is bistratic (the biwedge), which are subdivided into two wedges.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:a ≈ 1:1.29180, where a is the second largest real root of 5x4-8x3-6x2+8x+3.

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