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.... 更多内容 >>
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.... 更多内容 >>
This is a quick look at Grafix, our tool for exploring matrices via 3-D computer graphics.... 更多内容 >>
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.... 更多内容 >>
"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.... 更多内容 >>
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.... 更多内容 >>
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.... 更多内容 >>
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.... 更多内容 >>
An Enigma Machine combined with a Rubik's Cube makes an encryption device with unprecedented power.... 更多内容 >>
Alexa tells me that the definition of serendipity is "the occurrence and development of events by chance in a happy or beneficial way."... 更多内容 >>
A Mesmerizing AnimationWe are working on a paper about the Kuramoto model of self-synchronizing oscillators. This animation shows the different initial conditions where six oscillators fail to... 更多内容 >>