Publicado
Rotation Matrices
The matrices in the following animations are at the heart of computer graphics. They describe objects moving in...
más de 3 años hace
Publicado
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 3 años hace
Publicado
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 3 años hace
Publicado
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 3 años hace
Publicado
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...
más de 3 años hace
Publicado
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 4 años hace
Publicado
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 4 años hace
Publicado
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 4 años hace
Publicado
Season’s Greetings 2021
Season's Greetings 2021 __________________________________________________________Marc Lätzel (2021). XMas Tree...
casi 4 años hace
Publicado
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 4 años hace
Publicado
The Menger Sponge Fractal
The Menger sponge is a popular fractal that generalizes Cantor sets and Sierpinski triangles. Its fractal dimension is...
casi 4 años hace
Publicado
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...
alrededor de 4 años hace
Publicado
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...
alrededor de 4 años hace
Resuelto
Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...
alrededor de 4 años hace
Publicado
Quaternions
Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other...
alrededor de 4 años hace
Publicado
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...
más de 4 años hace
Publicado
Computers That I Have Known
Nick Higham's Numerical Linear Algebra group at the University of Manchester is hosting a conference celebrating Jack...
más de 4 años hace
Respondida
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...
más de 4 años hace | 3
Publicado
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...
más de 4 años hace
Publicado
Computing Eigenvalues of Symmetric Matrices
Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) ...
más de 4 años hace
Publicado
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...
más de 4 años hace
Publicado
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...
más de 4 años hace
Publicado
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...
más de 4 años hace
Publicado
“Odd Rock” on Mars Exhibits (Almost) Magic Square
A news story released yesterday, March 31,by c|net has the headline...
más de 4 años hace
Publicado
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....
más de 4 años hace
Publicado
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...
más de 4 años hace