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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Monthly Archives: May 2021
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 Fractal Tessellation Featuring Regular Pentagons and Golden Gnomons
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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A Tessellation Featuring Regular Octagons, Regular Hexagons, and Convex Pentagons
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Eights
This began with an {8/3} star octagon. It then started spreading.
A Starry Icosidodecahedron
The stars on the pentagonal faces were drawn using Geometer’s Sketchpad and MS-Paint. The icosidodecahedron itself was created using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.
Seven Stars
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An Excavated Tetrahedron
Polyhedral excavation is the opposite of augmentation. In this excavated tetrahedron, short pyramids have been removed from each face. I made this using Stella 4d, which can be tried for free at this website.
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