An Aperiodic Tiling of Golden Triangles and Golden Gnomons

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Mandala Featuring Regular Heptagons and a Regular Tetradecagon, with Convex Pentagons and Isosceles Trapezoids

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Tessellation Involving Hexagons, Pentagons, and Other Polygons

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pentagons and hexagons

Two Versions of Mandalas Centered on Regular Octadecagons

18

18b

A Golden Tessellation of Quadrilaterals

In this tessellation, golden rectangles are shown in yellow. The orange darts are each made of two golden gnomons, joined at a leg — while the blue rhombi are each made of two golden triangles, sharing a base.

Stars, Pentagons, and Rhombi #2

stars pentagons and rhombi

This is an expansion of the last post here. It may be possible to continue this tiling outward indefnitely, forming an aperioidic tiling — or it may not. I am simply uncertain about this

Floral Shield #2

Floral Shield 2

This is one of the aperiodic tilings made famous by Roger Penrose.

Tiles

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tiles

Tessellation Featuring Regular Enneagons, Regular Hexagons, and Isosceles Triangles

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tessellation-2

Tessellation Featuring Regular Enneagons and Hexaconcave, Equilateral Dodecagons

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tessellation