Tag Archives: radial

Pentagonal Mandala V

Image | Posted on by | Tagged , , , , , , , , , | Leave a comment

A Radial Tessellation, on the Topic of the Difficulty in Tessellating with Regular Pentagons

Image | Posted on by | Tagged , , , , , , | Leave a comment

Fractiles’ Mandala, Based on Angles of Pi/7 Radians

Although this was based on something I constructed using the Fractiles-7 magnetic tiling toy, I did not have enough magnetic pieces to finish this. The idea was, therefore, converted into a (non-Euclidean) construction using Geometer’s Sketchpad, and then refined using … Continue reading

Posted in Art, Mandalas, Mathematics | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

Octagons Can Tile a Plane III

Unlike my previous octagon-tiling discoveries (see previous post), this is a chiral, radial tessellation, with the colors chosen to highlight that fact.

Posted in Mathematics | Tagged , , , , , , , , | 1 Comment

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

Posted in Mathematics | Tagged , , , , , | Leave a comment

A Radial Tessellation of Regular Decagons and Bowtie Hexagons

This tiling-pattern could be continued indefinitely, while still maintaining its five-fold radial symmetry, giving it the overall appearance of a pentagon.

Posted in Art, Mathematics | Tagged , , , , , , , , , , , , , , , , | 1 Comment

A Radial Tessellation Including Regular Pentagons and Hexagons, As Well As Expanding Gap-Polygons

Radial tessellations are described in the previous post. This is a continuation of the idea, but with both regular pentagons and hexagons included. As before, the largest resulting gap-polygons expand as one recedes from the center.

Posted in Mathematics | Tagged , , , , , | Leave a comment