Python Collection of Python Projects (The Beauty of Mathematics)

[ratwolf]

GitHub Repository

The mathematician's patterns, like the painter's or the poet's, must be beautiful;
the ideas, like the colors or the words, must fit together in a harmonious way.
Beauty is the first test: there is no permanent place in this world for ugly mathematics."

– G. H. Hardy (1877–1947)

 

[BlackCube]

Concerning your Mandelbrot program.

Since the pixels can be computed in any order, an Adam7 interlace can improve the render.

When I view the fractal, I compute and display at the same time. I see a chunky image fast. It gets more detailed the longer I look at it, and I can pan and zoom at any time during a render.

It makes exploring a bit more fun.

The only drawback is the palette must be constant.

 

[BlackCube]

Concerning your cellular automata program.

I was captivated by Conway's game of life. Searching for an interesting pattern, or a small initial configuration that lasts a long time.

I wish I could get those hours of my own life back.

Spoiler alert, the glider is the only interesting pattern that emerges on its own.

In Conway's biography he gives the impression that he was a bit tired of talking about it.

These days I use it like a lava lamp, it gives my eyeballs something to do while my brain is working on something more important.