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Some explanations of (3.6)^2 patterns consisting of 2 opposite equilateral triangles and 2 opposite regular hexagons had (3.6)^6 written, these have been corrected. |
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[[Vertex-transitive|Vertex-transitivity]] means that for every pair of vertices there is a [[symmetry operation]] mapping the first vertex to the second.<ref name="Critchlow 1969">{{cite book |last1=Critchlow |first1=K. |title=Order in Space: A Design Source Book |date=1969 |publisher=Thames and Hudson |___location=London |pages=60–61}}</ref>
If the requirement of flag-transitivity is relaxed to one of vertex-transitivity, while the condition that the tiling is edge-to-edge is kept, there are eight additional tilings possible, known as ''Archimedean'', ''[[Uniform tiling|uniform]]'' or ''
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