Posts 41 - 50 of 306

The Menger Sponge, Complement and Associate 2

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 post about the sponge, and an extension that I am calling its "associate".... read more >>

Anatomy of a Cube 3

A cube is the familiar three-dimensional solid with eight vertices, six faces and twelve edges. I have been working with cubes recently in posts about both the Menger sponge fractal and the 4-by-4 matrix from computer graphics.... read more >>

The Complement of the Menger Sponge 1

The complement of an evolving Menger sponge is all of the material that has been removed so far.... read more >>

Season’s Greetings 2021

Season's Greetings 2021 __________________________________________________________Marc Lätzel (2021). XMas Tree (https://www.mathworks.com/matlabcentral/fileexchange/9337-xmas-tree),MATLAB... read more >>

A New View of Our Logo 4

On a recent visit to Ann Arbor, I met ten-year old Eden Rajapakse. Here is her sketch of the L-shaped membrane. Download Live... read more >>

The Menger Sponge Fractal 1

The Menger sponge is a popular fractal that generalizes Cantor sets and Sierpinski triangles. Its fractal dimension is between two and three.... read more >>

Roll, Yaw, Pitch, Taxi and More 2

See Cube and Teapot.... read more >>

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 >>

The Matrix at the Heart of Computer Graphics 7

Matrices like the ones shown in the following screen shots are at the heart of computer graphics. They describe objects moving in three-dimensional space. MATLAB's Handle Graphics uses them. So does MathWork's new RoadRunner editor. And so do all popular video games and CAD packages.... read more >>

Posts 41 - 50 of 306

These postings are the author's and don't necessarily represent the opinions of MathWorks.