Just like I did in the first part of this two-part post, I’m starting with the snub dodecahedron’s 43rd stellation.
This time, though, this polyhedral exploration is going in another direction. In the image below, the yellow kites seen above are shown augmented with prisms. The height of the prisms is equal to the average edge length of those kites.
Creating the convex hull of this augmented polyhedron is the next step.
The program I’m using to make these changes to polyhedra is called Stella 4d (it’s available here). The next step is using a function of Stella called “try to make faces regular.” The result is shown below.
Finally, I’m adjusting the coloring scheme so hexagons, pentagon, and triangles each get their own color, with a fourth color used for all three types of quadrilateral.
Because I like this result, I’m stopping here.