List of near-miss uniform polytopes
(Redirected from List of near-miss uniform polyhedra)
A near-miss uniform polytope is an isogonal polytope which has almost uniform facets (slightly irregular polygons for near-miss uniform polyhedra).
Edges of near-miss uniform polytopes have different lengths but the ratio between the longest and the shortest edge lengths should be 1 ≤ Δ ≤ 1.1.
Some of them can also be semi-uniform.
Near-miss uniform polyhedra[edit | edit source]
Near-miss uniform polyhedral honeycombs[edit | edit source]
Name | Image | Edge lengths | Cells | Faces | Edges | Vertices | Symmetry |
---|---|---|---|---|---|---|---|
Snub rectified cubic honeycomb | 1, ~1.02551 | N snub cubes N pyritohedral icosahedra 3N tetragonal disphenoids 12N sphenoids |
3N squares 8N triangles 12N+12N isosceles triangles 24N scalene triangles |
6N+12N+12N+24N | 12N | R_{4}×I+ | |
Bicantisnub cubic honeycomb(Near-miss scaliform) | 1, ~1.03381 | N pyritohedral icosahedra 4N triangular antiprisms 6Nwedges 12N isosceles trapezoidal pyramids |
3N rectangles 12N isosceles trapezoids 8N triangles 12N+12N+24N isosceles triangles |
6N+6N+24N+24N | 12N | R_{4}/2×2 |
Near-miss uniform polychora[edit | edit source]
Pyritohedral icosahedral antiprism | 1, ~1.09325 | 2 pyritohedral icosahedra
24 sphenoids |
16 triangles
48 scalene triangles 24+24 isosceles triangles |
12+12+24+48 | 24 | (B_{3}/2×2×A_{1})/2 | |
---|---|---|---|---|---|---|---|
Hexagonal double antiprismoid | 1, ~1.03381 | 24 hexagonal antiprisms
288 sphenoids |
24 hexagons
144+288+576 isosceles triangles |
144+288+288 | 144 | I_{2}(12)+≀S_{2}×2 |