Daily Archives: 28 May 2021

A Radial Tessellation of the Plane Using Squares and 45/135 Degree Rhombi

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This is an adjustment and extension of the radial tessellation shown in the most recent post here. I am now confident that this pattern could be extended outward, without limit.

A Radial Octagonal Tessellation of Squares and Rhombi

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I believe this can be continued, outward, indefinitely. I also believe it is aperiodic. However, I do not have a proof for either of these conjectures.