Cantic bisnub square prismatic honeycomb

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Cantic bisnub square prismatic honeycomb
Rank4
TypeIsogonal
SpaceEuclidean
Notation
Coxeter diagrams∞o2s4x4s
Elements
CellsN tetragonal disphenoids, 2N wedges, N rectangular trapezoprisms
Faces4N isosceles triangles, 4N isosceles trapezoids, 2N rectangles
EdgesN+N+2N+4N
Vertices2N
Vertex figureRectangular-symmetric hexagonal tegum
Measures (based on truncated square prismatic honeycomb of edge length 1)
Edge lengthsRemaining edges from class being alternated (N): 1
 Diagonals of squares (N+4N):
 Long edges of rectangles (2N):
Related polytopes
DualRectahexagonal frustum honeycomb
Abstract & topological properties
OrientableYes
Properties
Symmetry(R3❘W2)/2
ConvexYes
NatureTame

The cantic bisnub square prismatic honeycomb is an isogonal honeycomb that consists of rectangular trapezoprisms, wedges, and tetragonal disphenoids. 4 rectangular trapezoprisms, 6 wedges, and 2 tetragonal disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the truncated square prismatic honeycomb, faceting all the octagonal prisms into rectangular trapezoprisms. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:2.

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