Cleve Moler

MathWorks

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The world's first MATLAB programmer.

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Published

Grafix Users Guide
This is a quick look at Grafix, our tool for exploring matrices via 3-D computer graphics.... read more >>

ungefär 2 månader ago

Published

Matrices In Action, Grafix 2.0
The 4-by-4 matrices in the panels on the following screenshots are at the heart of computer graphics. They describe objects...

ungefär 2 månader ago

Published

Singular Matrix Pencils and the QZ Algorithm, Update
(The January 5 posting was premature and incomplete.)... read more >>

3 månader ago

Published

Singular Matrix Pencils and the QZ Algorithm
This year, 2023, is the 50-th anniversary of the QZ algorithm for generalized matrix eignenvalue problems,... read more...

3 månader ago

Published

Color Cube Meets Rubik’s Cube
I have made a half dozen blog posts about Rubik's Cube so far this year. And, during the MATLAB Central Mini Hack in...

4 månader ago

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Christian Reinsch, Roland Bulirsch, and the SVD
Christian Reinsch and Roland Bulirsch both passed away recently, Reinsch on October 8 and Bulirsch on September 21. Reinsch...

5 månader ago

Published

An Interactive Version of colorcubes
A 231-character static version of colorcubes in the current MiniHack generated quite a bit of interest. So I am posting the...

5 månader ago

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modfun, A Short Program Produces Impressive Graphics
This nifty graphics gem started with a contribution by Paul Villain to the MATLAB 2022 Mini Hack, currently taking place on...

6 månader ago

Published

Trio, A Wooden Puzzle from the Czech Republic
"Clever Toys" is a puzzle company in the Czech Republic. Their Web site describes five different hand-made, wooden puzzles...

6 månader ago

Published

Rubik’s Cube Superflips and God’s Number
How hard is it to solve a Rubik's Cube?When can you say that your Rubik's Cube is completely scrambled?Why might the answer...

7 månader ago

Published

Polygons, Polyshapes and Puzzles
Until recently, I knew nothing about the polyshape object in MATLAB. Now I can use polyshape to simulate an extraordinary...

7 månader ago

Published

An Interesting, and Perhaps New, Matrix
I do not recall having seen this matrix before, but I will not be surprised to learn that somebody else already knows all...

8 månader ago

Published

The Soma Cube, Again
The Soma Cube brings back memories.... read more >>

10 månader ago

Published

Rotation Matrices
The matrices in the following animations are at the heart of computer graphics. They describe objects moving in...

11 månader ago

Published

Qube, The Movie
... read more >>

11 månader ago

Published

Digital Simulation of Rubik’s Cube with Qube
This blog post describes Qube, my Rubik's Cube simulator. Source code for Qube is now available in one single file from this...

12 månader ago

Published

Digital Simulation of Rubik’s Cube
Rubik's Cube is one of the great mathematical puzzles of all time. Most people are just interested in solving Rubik's Cube...

12 månader ago

Published

The Enigma Qube, Merging an Enigma Machine and a Rubik’s Cube
An Enigma Machine combined with a Rubik's Cube makes an encryption device with unprecedented power.... read more >>

ungefär ett år ago

Published

What is A\A?
The answer: A\A is always I, except when it isn't.... read more >>

ungefär ett år ago

Published

Rubik’s Cube
My recent obsession with cubes in this blog has led me back to Rubik's cube, perhaps the greatest mathematical puzzle of all...

ungefär ett år ago

Published

The Menger Sponge, Complement and Associate
A few months ago, I had never heard of Karl Menger or the cube-like fractal that he invented. Now I have this long blog...

ungefär ett år ago

Published

Anatomy of a Cube
A cube is the familiar three-dimensional solid with eight vertices, six faces and twelve edges. I have been working with...

ungefär ett år ago

Published

The Complement of the Menger Sponge
The complement of an evolving Menger sponge is all of the material that has been removed so far.... read more >>

mer än ett år ago

Published

Season’s Greetings 2021
Season's Greetings 2021 __________________________________________________________Marc Lätzel (2021). XMas Tree...

mer än ett år ago

Published

A New View of Our Logo
On a recent visit to Ann Arbor, I met ten-year old Eden Rajapakse. Here is her sketch of the L-shaped membrane. ...

mer än ett år ago

Published

The Menger Sponge Fractal
The Menger sponge is a popular fractal that generalizes Cantor sets and Sierpinski triangles. Its fractal dimension is...

mer än ett år ago

Published

Investigate the Mathematics of Computer Graphics
Matrices in action.... read more >>

mer än ett år ago

Published

Roll, Yaw, Pitch, Taxi and More
See Cube and Teapot.... read more >>

mer än ett år ago

Published

The Computer Graphics Matrix and a Cube
Use a cube instead of the Utah Teapot in my previous post. I was pleasantly suprised by the final screen shot.... read more...

mer än ett år ago

Published

The Matrix at the Heart of Computer Graphics
Matrices like the ones shown in the following screen shots are at the heart of computer graphics. They describe objects...

mer än ett år ago

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