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 Cube Decorated with Waves

Image

Truncated Cube Decorated with Waves

On the octagonal faces, the waves shown in blue, red, and purple are sine waves of varying wavelength and amplitude. The other three waves were each formed by combining two of these component waves by simple addition — wave interference, in other words. All three possible combinations of two component waves are included.

I needed three different types of software to create this. First, Geometer’s Sketchpad was used to create the multiple-wave image itself. Next, with MS-Paint, I cropped the image and converted it into a usable format. Finally, Stella 4d was used to place the image on the large faces of this truncated cube, and create this rotating .gif file.

Of these three programs, Stella 4d is easily my favorite, and it also happens to be written by a friend of mine. Trial version / purchase information for this program may be found at http://www.software3d.com/stella.php.

A Polyhedron with 230 Faces

Image

A Polyhedron with 230 Faces

The faces are:

  • twenty equiangular, non-equilateral hexagons
  • sixty trapezoids
  • sixty isosceles triangles arranged in sets of five, adjacent within each set
  • thirty rectangles
  • sixty isosceles triangles with their bases adjacent to the longer sides of each rectangle

Software credit: see http://www.software3d.com/stella.php

Decorated Truncated Dodecahedron

Image

Decorated Truncated Dodecahedron

Geometer’s Sketchpad and MS-Paint were used to make the “Metapentagon” design shown in post before the last post. After that, I used Stella 4d (see http://www.software3d.com/stella.php) to project this image onto each face of a truncated dodecahedron, and create this rotating .gif file.

Decorated Snub Cube

Image

Decorated Snub Cube

Geometer’s Sketchpad and MS-Paint were used to make the “Metapentagon” design shown in the last post. After that, I used Stella 4d (see http://www.software3d.com/stella.php) to project this image onto each face of a snub cube, and create this rotating .gif file.

A “Bowtie” Polyhedron Featuring Regular Decagons and Nonagons

Image

This is the sequel to the previous post. Making the decagons and nonagons regular, using Stella 4d, proved to be quite easy!

Software credit: see http://www.software3d.com/stella.php (free trial download available).

A Polyhedron with 92 Faces Which Features Decagons and Nonagons

Image

A Polyhedron with 92 Faces Which Features Decagons and Nonagons

In addition to twelve decagons and twenty nonagons, this polyhedron also features thirty pairs of trapezoids in “bowtie” pairs. I made it using Stella 4d, software available at http://www.software3d.com/stella.php.

While these nonagons and decagons aren’t regular, it should be possible to make them so. If this happens, I’ll post the result here.