Cleve Moler

MathWorks

Last seen: Today | Active since 2012

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The world's first MATLAB programmer.

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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...

4 months 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...

5 months 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...

5 months 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...

6 months ago

Published

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

8 months 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...

8 months ago

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Qube, The Movie
... read more >>

9 months 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...

10 months 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...

10 months 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 >>

10 months ago

Published

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

11 months 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...

12 months 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...

1 year 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...

1 year 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 >>

1 year ago

Published

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

1 year ago

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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. ...

1 year ago

Published

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

1 year ago

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

1 year ago

Published

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

1 year 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...

1 year 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...

1 year ago

Published

Quaternions
Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other...

1 year ago

Published

Round, With Tie Breakers, A Prototype
In February and March I published three blog posts about an enhancement request for MATLAB concerning tie breakers with the...

1 year ago

Published

Computers That I Have Known
Nick Higham's Numerical Linear Algebra group at the University of Manchester is hosting a conference celebrating Jack...

1 year ago

Published

Complexity of Computing the Eigenvalues of a Symmetric Matrix
I am giving a five-minute talk today, May 26, at the virtual seminar on Complexity of Matrix Computations. Here are my...

1 year ago

Published

Computing Eigenvalues of Symmetric Matrices
Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) ...

1 year ago

Published

Bringing Back the Bucky Ball
The Bucky Ball provides an elegant example of a graph, the connectivity of the Buckminster Fuller geodesic dome.We are also...

1 year ago

Published

Solving Commodious Linear Systems
This is about linear systems with fewer equations than variables; A*x = b where the m -by- n matrix A has fewer rows that...

1 year ago

Published

Easter Sunday and April Fools
What do the years 2018, 2029 and 2040 have in common? They are the only years in the 21st century when Easter Sunday occurs...

2 years ago

Cleve Moler

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