Tag Archives: hexagon

Tessellation of Triangles and Pentagons

Alternately, this can be seen as a tessellation of hexagons and enneagons. Which do you see?

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Tessellation Featuring Regular Enneagons, Regular Hexagons, and Isosceles Triangles

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A Mandala Made of Hexagons, Enneagons, and Dodecagons

I recently re-discovered this “lost work,” which I made using Geometer’s Sketchpad, in 2011 — before I started this blog, which is why it has not appeared here before.

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Order-Six Radial Tessellations of the Plane, Using Elongated and Equilateral Hexagons, Rendered with Different Coloring-Schemes

I explored radial tessellations of the plane, using only hexagons, in this earlier post. Order-three tessellations of this type are the familiar regular-hexagon tessellations of the plane. With higher-order all-hexagon radial tessellations, though, the hexagons must be elongated, although they … Continue reading

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A Polyhedron Featuring Octagons, Hexagons, and Pentagons, All Irregular

I made this using Stella 4d, software which you can try for free right here.

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Hex

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A Polyhedron with Eight Regular Hexagonal Faces and Twenty-Four Irregular Pentagonal Faces

There are many polyhedra that include only hexagons and pentagons as faces — infinitely many, in fact. Most of the well-studied ones include twelve regular pentagonal faces, though, but this polyhedron has twenty-four pentagons, none of which are regular, in … Continue reading

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