Happy Perfect-Square New Year 2025

As I write this, the new year, 2025, has already come to parts of the world. It arrives here, where we’re on Chicago time, in about four and a half hours. This new year is the first perfect-square year since 1936, and there won’t be another one until 2116.

Since 45 = (9)(5) = (3^2)(5), and 2025 is the square of that, the prime number factorization of the new year is (3^4)(5^2).

Happy New Year to all!

The 35th Stellation of the Truncated Dodecahedron

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

Twenty Tetrahedra, Attached to the Vertices of a Dodecahedron

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

Boycott Amazon — Until the Strike is Resolved

Amazon workers are on strike against Amazon, for unfair labor practices, in multiple locations across the USA. While the strike continues, it is important that we support these workers and their unions, by doing these three things:

  1. Don’t buy anything from Amazon.
  2. Don’t buy Amazon’s stock.
  3. If you already own shares of Amazon, sell them.

Since Amazon does most of its business on the Internet, the concept of a “picket line” has to be updated for the 21st Century. If you go on the Internet and buy anything from Amazon while the strike is in progress, you’re crossing this picket line.

How long should we boycott Amazon? At least until the strike is over — no matter how long that takes. Solidarity among and between unions and workers is essential . . . because if we don’t support each other, no one else will.

Thomas Jefferson Visits the Bagel Shop

I handed over payment, and the bagel shop guy said, “Um, I don’t know if we take these $2 bills….”

The customer behind me laughed, and said just what I was thinking: “You have to take ’em, man — they’re legal tender!”

Why do I get $2 bills from the bank at every opportunity? Because I live for moments like this, that’s why!

[Image found here.]

A Faceted Truncated Icosahedron With 602 Faces

In the first image of this faceted polyhedron shown, above, the faces are colored by face type. In the second image, the faces are colored by number of sides. The red faces are triangles, the yellow faces are quadrilaterals, and the blue faces are {10/4} polygons.

The third image, below, shows this faceted polyhedron in “rainbow colored mode.” I made these images using Stella 4d, which you can try for free at this website.

A Vertex-Based Zonish Snub Dodecahedron

This polyhedron has 4292 faces. In the first image shown, they are colored by face type. In the second, the coloring is done by the number of sides of each face.

Finally, the last image here shows this zonish polyhedron in “rainbow color mode.” All of these images were made using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.