About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

Truncated Dodecahedron with Mandalas

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Truncated Dodecahedron with Mandalas

A flat version of the mandala on each decagonal face here may be seen in the previous post. I used Geometer’s Sketchpad and MS-Paint to make it.

To place the mandalas on the decagonal faces of a truncated dodecahedron, I used a program called Stella 4d, which you may try for yourself at http://www.software3d.com/stella.php.

Polyhedron Featuring Decagons and Pentagons

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Polyhedron Featuring Decagons and Pentagons

There are twelve regular decagons in this polyhedron, and sixty irregular pentagons. If the pentagons were closer to regularity, this would qualify as a near-miss to the ninety-two Johnson Solids. It is not known how many of these “near-misses” exist — primarily because this group of polyhedra lacks a precise definition.

This polyhedron was discovered with the aid of Stella 4d, software you can try for yourself at http://www.software3d.com/stella.php.

A Ninety-Faced Zonohedron

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A Ninety-Faced Zonohedron

Sixty of the faces of this zonohedron are thombi, and the other thirty are zonogonal octagons.

Software available at http://www.software3d.com/stella.php was used to create this rotating image.

A Polyhedron with 152 Faces

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A Polyhedron with 152 Faces

The faces are:

  • twelve irregular decagons
  • twenty irregular nonagons
  • sixty irregular pentagons
  • sixty isosceles trapezoids

This polyhedron was created using Stella 4d, which may be tried for free at http://www.software3d.com/stella.php.

Solar Eclipses and Mandalas On a Great Rhombcuboctahedron

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Solar Eclipses and Mandalas On a Great Rhombcuboctahedron

Credit where credit is due:

I found the eclipse picture with a Google-search.

The mandalas are the one in the previous post here (“Seventeen Circles”). I made it using Geometer’s Sketchpad and MS-Paint.

I used software called Stella 4d to assemble this onto the chosen polyhedron, and make the animated .gif file you see here. This software is available at http://www.software3d.com/stella.php, with a free trial download available.