Most in the field call this type of symmetry “icosahedral,” but I prefer the term George Hart uses — along with “cuboctahedral” in place of “octahedral.”
Each polyhedral image here was created with Stella 4d: Polyhedron Navigator. At this linked page, you can try a trial version of that program for free.
By the way, when I described these polyhedra, in this post’s title, as non-chiral, I was not referring to the coloring-schemes used here, many of which obviously are chiral, but only the shapes themselves.
That 10 GB space-upgrade, which most bloggers don’t ever need, is really coming in handy right now. In other words, some of these .gif files are huge!
Why, yes, I am including some words after every fifth polyhedron. That will help, later, when I count them for the title of this post.
I’m not sure why that last one is spinning the opposite direction from the others. Perhaps this polyhedron is trying to start a trend. On the other hand, it could just simply upside-down.
That’s twenty-five so far.
Clearly, I should have checked the number of files in that file folder before deciding to simply post them all together, based on what they have in common. That’s thirty so far.
RobertLovesPi.net 
Hi,
Do you realize that many of your shown polyhedral with non equal edges can have versions with equal edges too? Of course in sense of near misses, the angles of some of the polygons are not regular for those cases.
I am in contact with a small group of people, from which especially Tadeusz Dorozinsky has posted quite a few of the polyhedrons shown on your website too. Recently sent a few to Robert Webb, and one off them seems to be the same shown in this section (60 Kites or 60 Rhombuses – I’m not sure what you show- go along with 20 non regular hexagons).
I don’t know if my message might have landed in your spam (due to attachment), but in case you are interested, you can contact
Bernal.enrico@googlemail.com
or, if you prefer (since Google always reads with)
Enrico.bernal@web.de
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Yes, and thank you. I often do use the “try to make faces regular” function with Stella 4d. Sometimes I like the “before” and “after” versions, though, and, in that situation, I post both — although not always in the same blog-post.
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