In 1988, while I was with Ardent Computer in Silicon Valley, I gave a talk that previewed MATLAB graphics. The title was "Pictures of Matrices". At the time, a mathematician friend of mine asked.... 続きを読む >>

The Revolving Century puzzle is a beautifully made wooden puzzle from Creative Crafthouse in Hudson, Florida.... 続きを読む >>

No, this is not the script for an episode of "Game of Thrones". It is a blog post about Lindenmayer grammars, growing plants, space-filling fractals, turtle graphics and dragon curves.... 続きを読む >>

Two years ago, in March of 2023, an unlikely team of mathematical hobbyists announced the discovery of a remarkable 13-sided polygon that they nick-named the "Hat". Today, a Google search for the Hat's more formal name, "Aperiodic Monotile", yields dozens of links.... 続きを読む >>

A look at the structure, and the eigenvalues and singular values of interesting test matrices.... 続きを読む >>

LUTool provides an interactive animation of Gaussian elimination, the most important algorithm in technical computing.... 続きを読む >>

Two previous blog posts, Dec. 12, 2024 and Nov. 16, 2024, introduced "Sonic", my new tool for incorporating sound in videos. Today's blog post includes a link to the MATLAB source code for Sonic, as well as links to new versions of ten examples.... 続きを読む >>

I introduced Sonic in my blog post last month. Today I will use Sonic to add sound to the graphics from three old posts, the vibrating L-shaped membrane, the Recamán sequence and the chaotic behavior of the Swinging Sticks.... 続きを読む >>

I am very excited to incorporate sound in animations. This blog post has five examples with links to videos enclosed in '+ + + +'.... 続きを読む >>

Recently, I have made a series of blog posts about Redheffer matrices and the Mertens conjecture. After each of the posts, readers and colleagues offered suggestions to speed up the calculations. Here is a summary of what I have learned.... 続きを読む >>