Cantic bisnub square prismatic honeycomb
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Cantic bisnub square prismatic honeycomb | |
---|---|
Rank | 4 |
Type | Isogonal |
Space | Euclidean |
Notation | |
Coxeter diagram | s∞o2s4x4s |
Elements | |
Cells | N tetragonal disphenoids, 2N wedges, N rectangular trapezoprisms |
Faces | 4N isosceles triangles, 4N isosceles trapezoids, 2N rectangles |
Edges | N+N+2N+4N |
Vertices | 2N |
Vertex figure | Rectangular-symmetric hexagonal tegum |
Measures (based on truncated square prismatic honeycomb of edge length 1) | |
Edge lengths | Remaining edges from class being alternated (N): 1 |
Diagonals of squares (N+4N): | |
Long edges of rectangles (2N): | |
Related polytopes | |
Dual | Rectahexagonal frustum honeycomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | (R3❘W2)/2 |
Convex | Yes |
Nature | Tame |
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.
External links[edit | edit source]
- Klitzing, Richard. "s∞o2s4x4s".