Rotating Hyperdodecahedron

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Rotating Hyperdodecahedron

This moving image of a projection of the four-dimensional 120-cell was made using Stella 4d, software you can try for free here: http://www.software3d.com/stella.php

A Faceted Icosidodecahedron

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A Faceted Icosidodecahedron

In this polyhedron, there are, easily visible, twenty light blue faces which are equilateral triangles. Inside the polyhedron (and therefore harder to spot) are thirty purple faces which are Golden rectangles, along with twelve large, orange regular pentagonal faces.

To try the software I used to make this polyhedron, please visit www.software3d.com/stella.php.

Mandala with Golden Rectangles

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Mandala with Golden Rectangles

Eight Golden Spirals

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Eight Golden Spirals

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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Hexadecagon with Diagonals

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Hexadecagon with Diagonals

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/.

Circling the Square

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circling the square

Snowflake Mandala

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Snowflake Mandala