Two 242-Faced Polyhedra

Posted on 25 July 2023 by RobertLovesPi

I made these using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

What Bothers You the Most?

Posted on 24 July 2023 by RobertLovesPi

I’m registering online for physical therapy for my right shoulder, and they just asked me this question. “Stupidity” is the first thing that comes to mind, but I don’t think that’s the answer they’re looking for.

A Polyhedron With 154 Faces, Twenty of Which Are Regular Heptagons

Posted on 23 July 2023 by RobertLovesPi

I made this using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.

A Variant of the Enneagonal Antiprism Featuring Eighteen Pentagons as Lateral Faces

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I made this using Stella 4d, which you can try for yourself, for free, at http://www.software3d.com/Stella.php.

A Tessellation Featuring Regular Octagons, Regular Heptagons, Convex Hexagons, Concave Octagons, and Isosceles Trapezoids

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A Tessellation Featuring Regular Octagons, Regular Enneagons, Convex Octagons, Concave Octagons, Isosceles Triangles, and Isosceles Trapezoids

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A Library Dream

Posted on 19 July 2023 by RobertLovesPi

I just woke up from an afternoon nap, and was having a strange dream. It was the beginning of Summer, and I was working on a second master’s degree at UALR — and working at the UALR Ottenheimer Library again, where I worked in real life from 1988 to 1992, as an undergraduate. It was my first day back in the job, and I was getting there at about 12:45, with my shift starting at 1:00 pm. I was also bringing a fancy pot for a pepper plant. Upon arrival, I put all my stuff away, said hello to Tony (my boss there, and a friend), looked at the schedule, and saw, to my dismay, that I was supposed to be there from 7:00 am to noon. I wasn’t early — I was very late! There was nothing left to do but apologize to Tony, which I did. At that point, I woke up.

A Tessellation Featuring Dodecagrams

Posted on 19 July 2023 by RobertLovesPi

This tessellation may be viewed in two different ways.

The first one is to see it as consisting of regular {12/5} dodecagrams, in orange, yellow, green, blue, and violet; along with rhombi in red; and equilateral triangles in magenta.

The second way is to view it as made of violet, regular dodecagons; kites, of four different sizes and shapes, in blue, green, yellow, and orange; red rhombi; and equilateral, magenta triangles.

A Polyhedron Derived From the Rhombicosidodecahedron

Posted on 19 July 2023 by RobertLovesPi

To make this polyhedron, I started with the rhombicosidodecahedron, then applied the “morph duals by tilting to rectify” function in Stella 4d: Polyhedron Navigator — twice. If you’d like to try this program for yourself, there is a free trial download at http://www.software3d.com/Stella.php.

Three Different Views of the Third Stellation of the Rhombic Dodecahedron

Posted on 18 July 2023 by RobertLovesPi

This is the thrid stellation of the rhombic dodecahedron. Its facelets are 24 rhombi and 24 “chevron” hexagons. Here’s another view, colored by individual face, with parallel faces having the same color.