List of near-miss uniform polytopes

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

Name	Image	Edge lengths	Faces	Edges	Vertices	Army	Symmetry
Disnub icosahedron (near-miss)		1, ~1.01609, ~1.04382, ~1.04658	60 isosceles trapezoids 20 triangles 60 scalene triangles	240	60	Non-uniform Snid	H3+
Disnub icosidodecahedron (near-miss)		1, ~1.00549, ~1.0358, ~1.04804, ~1.04932	12 pentagons 20 triangles 60 scalene triangles 60 scalene triangles	240	60	Non-uniform Snid	H3+
Snub icosidisdodecahedron (near-miss) (Semi-uniform)		1, ~1.064813827	12 pentagons 60 rectangles 20 triangles 12 pentagrams	210	60	Non-uniform Snid	H3+
Snub rhombisnub dodecahedron (near-miss)		1, ~1.01609, ~1.04382, ~1.04658	30 semi-uniform octagrams 60 isosceles triangles 12 pentagrams	240	60	Non-uniform Ti	H3+
Trisnub icosahedron (near-miss)		1, ~1.04054, ~1.06482	120 isosceles triangles 20 triangles 60 isosceles triangles	300	60	Non-uniform Ti	H3
Disnub disicosahedron A (near-miss)		1, ~1.0083, ~1.01579	40 triangles 60 isosceles triangles 60 isosceles triangles	240	60	Non-uniform Tid	H3
Disnub disicosahedron B (near-miss)		1, ~1.00016, ~1.03228, ~1.03583, ~1.04027	60 scalene triangles 20 triangles 60 scalene triangles 20 triangles	240	60	Non-uniform Snid	H3+
Snub chirorhombicosidodecahedron A (near-miss)		1, ~1.05146	30 squares 20 triangles 60 isosceles triangles 12 pentagrams	210	60	Srid	H3+
Snub chirorhombicosidodecahedron B (near-miss)		1, ~1.05146	30 squares 20 triangles 60 isosceles triangles 12 pentagrams	210	60	Srid	H3+
Disnub dirhombicosahedron (near-miss)		1, ~1.05146	60 squares 20 triangles 60 isosceles triangles	240	60	Srid	H3+
Snub dodecahedron (near-miss) (not to be confused with the archimedean solid, snub icosidodecahedron) (Edge ratio is above 1.1 but can be made semi-uniform)		1, ~1.11486, ~1.11946	60 isosceles trapezoids 12 pentagons	150	60	Non-uniform Srid	H3
Snub rhombihexahedron (near-miss)		1, ~1.04735, ~1.06517	6+12 squares 12 isosceles triangles	72	24	Non-uniform Tic	BC3
Snub dishexahedron (near-miss)		1, ~1.04735, ~1.06517	6 octagrams 6 squares 24 isosceles triangles	72	24	Non-uniform Tic	BC3

Near-miss uniform polyhedral honeycombs

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	R4×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	R4/2×2

Near-miss uniform polychora

Pyritohedral icosahedral antiprism		1, ~1.09325	2 pyritohedral icosahedra 8 triangular gyroprisms 24 sphenoids 6 tetragonal disphenoids	16 triangles 48 scalene triangles 24+24 isosceles triangles	12+12+24+48	24	(B3/2×2×A1)/2
Hexagonal double antiprismoid		1, ~1.03381	24 hexagonal antiprisms 288 sphenoids 144 tetragonal disphenoids	24 hexagons 144+288+576 isosceles triangles	144+288+288	144	I2(12)+≀S2×2