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 >>

I have spent much of my career working to bring abstract linear algebra and practical matrix computation closer together. This project is my latest effort.... 続きを読む >>

This is a quick look at Grafix, our tool for exploring matrices via 3-D computer graphics.... 続きを読む >>

I have made a half dozen blog posts about Rubik's Cube so far this year. And, during the MATLAB Central Mini Hack in October, I resurrected an old code about the Color Cube. Now, a combination of the two, Rubik/Color Qube, creates an elegant tool for investigating Matrices in Action.... 続きを読む >>

"Clever Toys" is a puzzle company in the Czech Republic. Their Web site describes five different hand-made, wooden puzzles that are related mathematically to the Rubik's Cube.... 続きを読む >>

The matrices in the following animations are at the heart of computer graphics. They describe objects moving in three-dimensional space and are essential to MATLAB's Handle Graphics, to Computer Added Design packages, to Computer Graphics Imagery in films, and to most popular video games. Many modern computers contain GPUs, Graphic Processing Units, which are optimized to compute the product of these matrices.... 続きを読む >>

This blog post describes Qube, my Rubik's Cube simulator. Source code for Qube is now available in one single file from this link: Qube_osf.m. I will also submit the code to the MATLAB Central File Exchange. As usual, I welcome any feedback.... 続きを読む >>

Rubik's Cube is one of the great mathematical puzzles of all time. Most people are just interested in solving Rubik's Cube rapidly, but deeper investigation reveals a rich mathematical and computational structure. A digital Rubik's Cube simulator provides a laboratory for the study of linear algebra, group theory, data structures and computer graphics.... 続きを読む >>

An Enigma Machine combined with a Rubik's Cube makes an encryption device with unprecedented power.... 続きを読む >>

Alexa tells me that the definition of serendipity is "the occurrence and development of events by chance in a happy or beneficial way."... 続きを読む >>