Tag Archives: tessellation

A Tessellation Featuring Regular Hexagons of Two Sizes, as Well as Isosceles Trapezoids

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A Tessellation Featuring Regular Hexagons and Convex Pentagons

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A Tessellation Featuring Rings of Regular Heptagons

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Each ring contains 14 heptagons. Here’s another coloring of it:

A Tessellation of the Plane Using Regular Pentadecagons, Regular Hexagons, Isosceles Trapezoids, and Isosceles Triangles

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A Fractal Tessellation of Golden Triangles, Golden Gnomons, and Regular Decagons

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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.

A Tessellation Featuring Regular Octagons, Regular Dodecagons, and “Bowtie” Hexagons

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A Fractal Tessellation Featuring Regular Pentagons and Golden Gnomons

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The yellow triangles are golden gnomons, while the blue triangles have angles of 108, ~26.3, and ~45.7 degrees.

A Tessellation Featuring Regular Octagons, Regular Hexagons, Squares, and Isosceles Trapezoids

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