Published
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...
meer dan een jaar ago
Published
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...
bijna 2 jaar ago
Published
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...
bijna 2 jaar ago
Published
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...
bijna 2 jaar 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...
bijna 2 jaar 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...
bijna 2 jaar ago
Published
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...
ongeveer 2 jaar ago
Published
Rotation Matrices
The matrices in the following animations are at the heart of computer graphics. They describe objects moving in...
ongeveer 2 jaar ago
Published
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...
meer dan 2 jaar 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...
meer dan 2 jaar 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....
meer dan 2 jaar 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...
meer dan 2 jaar 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...
meer dan 2 jaar 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...
meer dan 2 jaar 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....
meer dan 2 jaar ago
Published
Season’s Greetings 2021
Season's Greetings 2021 __________________________________________________________Marc Lätzel (2021). XMas Tree...
meer dan 2 jaar ago
Published
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. ...
meer dan 2 jaar ago
Published
The Menger Sponge Fractal
The Menger sponge is a popular fractal that generalizes Cantor sets and Sierpinski triangles. Its fractal dimension is...
meer dan 2 jaar ago
Published
Investigate the Mathematics of Computer Graphics
Matrices in action....
meer dan 2 jaar 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...
bijna 3 jaar 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...
bijna 3 jaar ago
Solved
Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...
bijna 3 jaar ago
Published
Quaternions
Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other...
bijna 3 jaar 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...
bijna 3 jaar 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...
ongeveer 3 jaar ago
Answered
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...
ongeveer 3 jaar ago | 3