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R2-D2, Rotations and Dilations in Two Dimensions
R2_D2 is is the name I've given a new MATLAB program that provides animations of 2-by-2 rotation and dilation matrices. I...
más de 1 año hace
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My Chat With ChatGPT
While it is still fresh in my mind, I want to describe the conversation I had with a publicly available version of ChatGPT,...
casi 2 años hace
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Grafix Users Guide
This is a quick look at Grafix, our tool for exploring matrices via 3-D computer graphics....
casi 2 años hace
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Matrices In Action, Grafix 2.0
The Swinging Sticks is a kinetic sculpture that exhibits chaotic motion. The device became very popular after it...
casi 2 años hace
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Singular Matrix Pencils and the QZ Algorithm, Update
(The January 5 posting was premature and incomplete.)...
casi 2 años hace
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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...
casi 2 años hace
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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...
casi 2 años hace
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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...
alrededor de 2 años hace
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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...
alrededor de 2 años hace
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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...
alrededor de 2 años hace
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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...
alrededor de 2 años hace
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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...
alrededor de 2 años hace
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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...
más de 2 años hace
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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...
más de 2 años hace
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Rotation Matrices
The matrices in the following animations are at the heart of computer graphics. They describe objects moving in...
más de 2 años hace
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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...
más de 2 años hace
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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...
más de 2 años hace
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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....
más de 2 años hace
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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...
casi 3 años hace
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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...
casi 3 años hace
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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...
casi 3 años hace
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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....
casi 3 años hace
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Season’s Greetings 2021
Season's Greetings 2021 __________________________________________________________Marc Lätzel (2021). XMas Tree...
casi 3 años hace
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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. ...
casi 3 años hace
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The Menger Sponge Fractal
The Menger sponge is a popular fractal that generalizes Cantor sets and Sierpinski triangles. Its fractal dimension is...
casi 3 años hace
