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|bgcolor=#e7dcc3|Type||[[Paracompact uniform honeycomb]]<BR>[[Semiregular honeycomb]] ...e}} or {{CDD|branch_10ru|split2|node|3|node}}, is a [[semiregular polytope|semiregular]] tessellation with [[tetrahedron]] and [[triangular tiling]] cells arrange ...

...d six not usable planigon triangles which cannot take part in dual uniform tilings; all to scale.]] ...st of Euclidean uniform tilings|semiregular]] planigons; and 4 [[Euclidean tilings by convex regular polygons|demiregular]] planigons which can tile the plane ...

..., it has three [[square tiling]]s, {4,4}, around each edge, and six square tilings around each vertex, in a [[cube|cubic]] {4,3} [[vertex figure]].<ref>Coxete ...}, and lastly a construction with three types (colors) of checkered square tilings {{CDD|node_1|4|node|4|node_g|3sg|node_g}} ↔ {{CDD|node|4|node_1|split1-44|n ...

...vertex figure]] of this honeycomb is an octahedron. Thus, eight hexagonal tilings meet at each vertex of this honeycomb, and the six edges meeting at each ve ...A quarter-symmetry construction also exists, with four colors of hexagonal tilings: {{CDD|label6|branch_10r|3ab|branch_10l|label6}}. ...

...[[vertex figure]] of this honeycomb is an icosahedron. Thus, 20 hexagonal tilings meet at each vertex of this honeycomb.<ref>Coxeter ''The Beauty of Geometry |bgcolor=#e7dcc3|Type||[[Paracompact uniform honeycomb]]<BR>[[Semiregular honeycomb]] ...

[[Emanuel Lodewijk Elte|E. L. Elte]] identified it in 1912 as a semiregular polytope, labeling it as HM₁₀ for a ten-dimensional ''half measu ...ael |last2=Shtogrin |first2=Mikhael |title=Embedding the graphs of regular tilings and star-honeycombs into the graphs of hypercubes and cubic lattices |journ ...

* Thorold Gosset's [[Semiregular E-polytope|exceptional semiregular polytopes]] in 6, 7, and 8 dimensions ...

In [[geometry]], many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by [[Wythoff c ...e [[Euclidean plane]]. A few of the [[List of regular polytopes#Hyperbolic tilings|infinitely many]] such patterns in the [[Hyperbolic space|hyperbolic plane] ...

|bgcolor=#e7dcc3|Type||[[Paracompact uniform honeycomb]]<BR>[[Semiregular honeycomb]] ...