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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...
3 years 前
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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....
3 years 前
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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...
3 years 前
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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...
3 years 前
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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...
3 years 前
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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....
4 years 前
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Season’s Greetings 2021
Season's Greetings 2021 __________________________________________________________Marc Lätzel (2021). XMas Tree...
4 years 前
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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. ...
4 years 前
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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...
4 years 前
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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...
4 years 前
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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...
4 years 前
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Quaternions
Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other...
4 years 前
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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...
4 years 前
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Computers That I Have Known
Nick Higham's Numerical Linear Algebra group at the University of Manchester is hosting a conference celebrating Jack...
4 years 前
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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...
4 years 前
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Computing Eigenvalues of Symmetric Matrices
Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) ...
4 years 前
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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...
4 years 前
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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...
4 years 前
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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...
4 years 前
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“Odd Rock” on Mars Exhibits (Almost) Magic Square
A news story released yesterday, March 31,by c|net has the headline...
4 years 前
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Mount St. Helens and Matrix Rank
What do Mount St. Helens and the rank of a matrix have in common? The answer is the MATLAB function peaks. Let me explain....
4 years 前
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Round, With Tie Breakers, Round Three
I recently published Round, With Ties to Even and followed that with Round Two. Then, in an email, Andy Bartlett pointed...
4 years 前
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Round, With Tie Breakers, Round Two
I published Round, With Ties to Even a couple of days ago. Steve Eddins and Daniel Dolan immediately had substantive...
4 years 前
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Round, With Ties to Even
We are considering a MATLAB Enhancement Request to support options for round(x) when x is exactly halfway between two...
4 years 前
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CR and CAB, Rank Revealing Matrix Factorizations
The rank of a linear transformation is a fundamental concept in linear algebra and matrix factorizations are fundamental...
4 years 前
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Holiday Greetings 2020
I want to share some colorful images featuring the seven colors in the MATLAB axes color order....
5 years 前
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A Famous Equation, x^2 = 2^x
A recent episode of the popular YouTube channel "blackpenredpen" is about solutions to the famous equation... read more...
5 years 前
