The image above took very little time to make, online, at this website. The user interface there allows a large degree of control over the shapes and colors used in the images one produces. I didn’t notice a “save image” button, but that’s what screenshots are for, right?
In this icosidodecahedron, the pentagonal faces have been removed, and the triangular faces have been augmented with short pyramids. I used Stella 4d to make it, which you can find here.
To make the virtual “painting” above, I plotted simple and moderately-complex trigonometric functions on a single coordinate plane, as shown below, using Geometer’s Sketchpad. I then erased all the text, etc., copied-and-pasted a screenshot into MS-Paint, and used that program to make the finished image above.
This tiling-pattern could be continued indefinitely, while still maintaining its five-fold radial symmetry, giving it the overall appearance of a pentagon.
RobertLovesPi.net 