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.
A Radial Octagonal Tessellation of Squares and Rhombi
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Blog Archives
Three Times Eight Is Twenty-Four
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A Tessellation Featuring Regular Octagons, Regular Dodecagons, and “Bowtie” Hexagons
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A Tessellation Featuring Regular Octagons, Regular Hexagons, Squares, and Isosceles Trapezoids
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A Tessellation Featuring Regular Octagons, Regular Hexagons, and Convex Pentagons
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Seven Stars
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A Polystar, Made of Golden Triangles and Golden Gnomons
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36 Rhombi in an Octadecagon
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A Pentadecagon and Its Diagonals
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Tessellation of Rhombi and Regular Pentagons
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