Cleve Moler

MathWorks

Last seen: Today | Active since 2012

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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 >>

ongeveer een maand 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...

ongeveer een maand ago

Published

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

2 maanden ago

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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...

2 maanden ago

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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...

3 maanden 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 maanden ago

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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 maanden 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...

5 maanden ago

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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 maanden ago

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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 maanden ago

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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 maanden ago

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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 maanden ago

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

9 maanden ago

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

10 maanden ago

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Qube, The Movie
... read more >>

11 maanden ago

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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...

11 maanden 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 maanden 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 >>

12 maanden ago

Published

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

ongeveer een jaar 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...

ongeveer een jaar 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...

ongeveer een jaar ago

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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...

ongeveer een jaar ago

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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 >>

ongeveer een jaar ago

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

ongeveer een jaar 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. ...

ongeveer een jaar ago

Published

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

meer dan een jaar ago

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

meer dan een jaar ago

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

meer dan een jaar 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...

meer dan een jaar ago

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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...

meer dan een jaar ago