Series Approximation and the Mandelbrot set

Series approximation has been implemented in Very Plotter's Mandelbrot set plot! After some initial calculations, Very Plotter is now able to skip some amount (often a large percentage) of the calculations needed to render a Mandelbrot set image. This vastly speeds up rendering at deep locations.

Minify and Lint JavaScript with npm and Docker

Today's JavaScript minification and linting is popularly done with node.js packages. I want to run a couple of these packages on some JavaScript files, but I don't want to install npm on my machine.

Docker is perfectly suited for this task.

Perturbation Theory and the Mandelbrot set

I've recently been following the well-worn path of Mandelbrot set computation and rendering in my onoing development of Very Plotter. In my last blog post, I mentioned how fast floating point math was used for more "zoomed out" images, and slower arbitrary precision math was used otherwise. In this post I'll discuss the breakthrough of Perturbation theory, which allows fast floating point math to continue to be used as we dive deeper into the set.

By applying perturbation theory to the Mandelbrot set problem, images that would normally take days to calculate can be completed in minutes!

The Mandelbrot set on Very Plotter

I've added the Mandelbrot set to Very Plotter.

This was a fun project, especially doing various tests and enhancements to improve calculation speed. I wrote my own arbitrary precision code, based on the new-ish JavaScript BigInt class.

It was also a worthwhile challenge, I think, to get the site usable on mobile (tested on iOS) devices, where most interactive JavaScript Mandelbrot viewers I've seen do not work so well on iPhones/iPads.

Very Plotter

This is definitely not just any old quick project to plot and view points from mathematical sequences. This is Very Plotter.