Mandala Based On Sixty

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That’s the finished mandala. These are made using MS-Paint and Geometer’s Sketchpad, and I use Sketchpad first. Here’s what it looked like at the half-way point:

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Pentagonal Mandala

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Pentagonal Mandala

Euclidean Construction of the Regular Pentagon

It’s not the same one you can easily find in textbooks.

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[Later edit] For a step-by-step explanation of this construction, see this post: https://robertlovespi.wordpress.com/2014/08/10/a-euclidean-construction-of-a-regular-pentagon-with-a-given-edge-length/.

Euclidean Construction of the Regular Triacontagon

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Euclidean Construction of the Regular Triacontagon

Another Construction of the Golden Rectangle

As if one were needed:

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Cuboctahedron Constructed from Rhombic Triacontahedra

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Cuboctahedron Constructed from Rhombic Triacontahedra

The software used to produce this image may be tried as a free trial download at http://www.software3d.com/Stella.php.

Rotating Zonish Polyhedron

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Rotating Zonish Polyhedron

Creating zonish polyhedra (related to zonohedra) and creating rotating polyhedral .gifs are two features newly added to Stella, the program used to make this, which may be tried for free at http://www.software3d.com/stella.php

Off-Center Mandala

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Off-Center Mandala

Snowflake in Primary Colors

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Snowflake in Primary Colors

Mandala Based on the Number 3

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Mandala Based on the Number 3