A blog about anything #

Hi there, and welcome to my blog! This is a place where I can express myself and I do so by writing about a variety of topics, but mostly about programming, mathematics, and fractals. I tend to forget a lot of the things that I learn, so by explaining what I have learned to myself, the knowledge persists a lot better.

2-dimensional fractals

The fascinating patterns and structures that emerge in iterated complex functions.

• Mandelbrot set
• Julia set explorer
• Burning ship fractal
• Newton fractals
• Nova fractals
• Sin(z) fractals
• Iterated function systems

3-dimensional fractals

The endless complexity that can be found in fractals continuously intrigues me to find more about them.

• 8K fractals (high-resolution renders)
• Bifurcation diagram of the logistics map in the Mandelbrot set

Computer graphics

Creating your own world on a computer with the principles of light and mathematical equations.

• Caustics in 2D
• Ray-sphere intersection
• Useful 1-dimensional functions & anti-aliased grid

Puzzle solutions

Write-ups about the solutions to puzzles, which is mostly about Project Euler.

• Cracking padded XOR encryption
• Monopoly odds
• Totient maximum
• Square root
• Path sum: two ways
• Counting rectangles
• Ordered fractions

Miscellaneous

List of topics that don't fit into a category by itself, because there are only a few posts about the topic.

• Compartment model for epidemiology
• Dungeon generation with Newton's law of gravity
• Gambler's fallacy
• Plotting trees recursively
• N-body simulations in 2D
• 2-body potential energy function

Most recent posts

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Repositories

Over the time I have amassed quite a lot repositories with completed projects, uncompleted projects, proof-of-concepts, ideas, and course notes. To make this a bit more navigatable, this is a list of the most interesting ones. Note that not all projects are finished, and actually, when is software really finished?