Wythoff Constructions From Square Tiling
Like the uniform polyhedra there are eight uniform tilings that can be based from the regular square tiling.
Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, all 8 forms are distinct. However treating faces identically, there are only three topologically distinct forms: square tiling, truncated square tiling, snub square tiling.
| Symmetry:, (*442) | +, (442) | , (4*2) | ||||||
|---|---|---|---|---|---|---|---|---|
| t0{4,4} | t0,1{4,4} | t1{4,4} | t1,2{4,4} | t2{4,4} | t0,2{4,4} | t0,1,2{4,4} | s{4,4} | h0,1{4,4} |
| Uniform duals | ||||||||
| V4.4.4.4 | V4.8.8 | V4.4.4.4 | V4.8.8 | V4.4.4.4 | V4.4.4.4 | V4.8.8 | V3.3.4.3.4 | |
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“I would say it was the coffin of a midget
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Were there not such a din in it.”
—Sylvia Plath (19321963)
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