In 1988, while I was with Ardent Computer in Silicon Valley, I gave a talk that previewed MATLAB graphics. The title was "Pictures of Matrices". At the time, a mathematician friend of mine asked.
Why would anyone want pictures of matrices?My response is the graphics demonstrations that we have done over the years. Here is a baker's dozen of my favorite examples.
Contents
Vibes
The vibrating L-shaped membrane.
https://blogs.mathworks.com/cleve/20...ibrating-logo/.
Pitch, Roll and Yaw
Studying rotations.
https://blogs.mathworks.com/cleve/20...x-users-guide/
Rubiks Cube
The world's greatest mathematical puzzle.
https://blogs.mathworks.com/cleve/20...f-rubiks-cube/
Eigenwalker
Principle component analysis of the human gait.
https://blogs.mathworks.com/cleve/20...he-human-gait/
Simulation
Simulink at the test track.
https://blogs.mathworks.com/cleve/20...ring-matrices/
Sponge
The Menger sponge is a popular fractal that generalizes Cantor sets and Sierpinski triangles.
https://blogs.mathworks.com/cleve/20...ponge-fractal/
Drums
Contour plots of isospectral pairs.
https://blogs.mathworks.com/cleve/20...1-eigenvalues/
Jahnke and Emde
Contour plot of the Hankel function, based on a hand drawing in a 1933 book by German mathematicians Eugene Jahnke and Fritz Emde.
https://blogs.mathworks.com/cleve/20...mde-revisited/
Penny
High resolution measurements of the depth of the mold for the United States one cent coin.
https://blogs.mathworks.com/cleve/20...olution-penny/
Jordan Form
Jordan Canonical Form of the 64-by-64 Redheffer matrix from the
MATLAB Gallery.
https://blogs.mathworks.com/cleve/20...dollar-matrix/
Expshow
An interactive graphical experiment lets you discover the value of one of the most important numerical quantities in mathematics.
https://blogs.mathworks.com/cleve/20...al-experiment/
Eigshow
One of my all-time favorite MATLAB examples is eigshow.
https://blogs.mathworks.com/cleve/20...eigshow-week-1
Eden
This sketch of the MathWorks Logo was made by Eden Rajapakse when she was ten years old. Her blog post has received more "likes" than any other post.
https://blogs.mathworks.com/cleve/20...w-of-our-logo/
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