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Rotation Matrices
The matrices in the following animations are at the heart of computer graphics. They describe objects moving in...
oltre 3 anni fa
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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...
oltre 3 anni fa
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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...
oltre 3 anni fa
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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....
oltre 3 anni fa
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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...
oltre 3 anni fa
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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...
quasi 4 anni fa
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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...
quasi 4 anni fa
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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....
quasi 4 anni fa
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Season’s Greetings 2021
Season's Greetings 2021 __________________________________________________________Marc Lätzel (2021). XMas Tree...
quasi 4 anni fa
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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. ...
quasi 4 anni fa
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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...
quasi 4 anni fa
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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...
circa 4 anni fa
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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...
circa 4 anni fa
Risolto
Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...
circa 4 anni fa
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Quaternions
Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other...
circa 4 anni fa
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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...
oltre 4 anni fa
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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...
oltre 4 anni fa
Risposto
Redirecting arithmetic functions from LAPACK/BLAS?
It might help to use the transposes of your arrays or interchange the order ot your loops. MATLAB stores 2-d arrays by coluumns...
Redirecting arithmetic functions from LAPACK/BLAS?
It might help to use the transposes of your arrays or interchange the order ot your loops. MATLAB stores 2-d arrays by coluumns...
oltre 4 anni fa | 3
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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...
oltre 4 anni fa
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Computing Eigenvalues of Symmetric Matrices
Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) ...
oltre 4 anni fa
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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...
oltre 4 anni fa
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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...
oltre 4 anni fa
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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...
oltre 4 anni fa
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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...
oltre 4 anni fa
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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....
oltre 4 anni fa
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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...
oltre 4 anni fa