This solid has, as faces, 12 regular pentagons, 20 regular hexagons, and 60 isosceles triangles, along with a bunch of quadrilaterals of various types. I made it using Stella 4d, which you can try for free at this website.
I made this using Stella 4d, which you can try for free here.
I found these on Facebook, and could find no evidence that I’d ever blogged them here — so here they are. The first one is based on the number nine, while the second is based on fifteen.
“Morph Duals By Tilting To Duals” is a Stella 4d feature that I haven’t used much. Here’s what happens if you apply it to an icosahedron, at the 50% morphing level: you get the compound of the icosahedron and its dual, the dodecahedron,
If you apply this same operation a second time, here’s what you get.
This appears to be a three-part compound, with two familiar components: the icosahedron (red) and the dodecahedron (orange). Remove those two components, and you get this:
Since this reminds me of an icosidodecahedron, I colored its faces to better suit that identity.
Little peeks at the edges of the solid above made me suspicious, so I hid these purple and green faces, to see the inner structure. Here’s the result.
I made all of these using Stella 4d, which you can try free at http://www.software3d.com/Stella.php.
I stumbled upon this compound while playing with Stella 4d, a program you can try for free right here.
I made this using Stella 4d, which you can try for free right here.
The polyhedron above is the convex hull of the pyramid-augmented snub dodecahedron seen in the last post. The one below is its dual, and its faces are sixty kites, and twenty equilateral triangles.
I made these using Stella 4d, which you can try for free right here.
I made this using Stella 4d, which you can try for free right here.
I made this using Stella 4d, a program you can try for free right here.
I found this playful little guy in Hope, Arkansas, today. Spiders are my favorite animal, and jumping spiders are my favorite group of spider species . . . but phidippus audax is my favorite jumping spider! They act a lot like miniature cats, stalking and pouncing on prey. If you ever see a black and white jumping spider, look for green iridescent chelicerae. If you see this distinctive reflective, metallic green, you’ve found yourself a p. audax. Treat them well, and they’ll eat lots of insects that would otherwise cause problems for us.
This particular spider waved at me, and remained very expressive during our entire encounter. He’d study his surroundings, utterly still, until springing into action so fast that my eyes got left behind, in a cloud of confusion. Fortunately, my wife is skilled with a camera, and was able to catch this shot.
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