A Repeating Tessellation of Regular Polygons Which Lacks Vertex-Transitivity

Quasi-Regular Tessellation

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2 Responses to A Repeating Tessellation of Regular Polygons Which Lacks Vertex-Transitivity

  1. Tony Crisafi says:

    Hi Robert,

    what is a quasi tessellation? Have a look under education/magical wheel on my web site. Is my definition correct?

    Thanks,

    Tony

    Like

    • I can’t find the educational/magical wheel you mention, but the research I did to answer your question revealed to me that this is neither a semiregular tessellation, nor a quasiregular tessellation. To be quasiregular, each vertex needs to have just two types of polygon, alternating around each vertex, such as hexagon-triangle-hexagon-triangle. Semiregular could be, for example, hexagon-square-triangle-square. Both quasiregular and semiregular tessellations require vertex-transitivity (same arrangement around each vertex), which this doesn’t have. Thank you for bringing this to my attention; I’ll rename it to something more appropriate.

      Like

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