The Game of Hex and the Brouwer Fixed-Point Theorem
June 30, 2026
The Brouwer's fixed point theorem is equivalent to the Hex theorem.
MathematicsMathematical Intuition
#Mathematics
TikZ Demo (tikzjax)
April 28, 2026
Write TikZ in a markdown fence; this blog turns it into an in-browser SVG via my custom TikZJax fork.
MathematicsDiagrams
Fractional Derivatives (interactive)
April 28, 2026
An interactive demo of fractional derivatives with a numeric method and analytic reference curves for sin(t) and x^2.
MathematicsVisualizationReact
ChatGPT Versus Bongard Problems
March 26, 2026
Bongard Problems are visual puzzles invented by the Russian computer scientist Mikhail Bongard. In contrast to standardized cognitive tests like IQ tests, they are not mainly about speed or pattern recall, but about forming the right abstraction. We explore the limit they pose on current AI models.
MathematicsComputer SciencePhilosophyArtificial Intelligence
Financial Modeling with CEV Processes
March 22, 2026
This post is a compact English adaptation of two chapters from my bachelor's thesis. The original thesis text was written in German; this article tra...
MathematicsSimulationProgramming
Some Higher Dimensional Fractals
March 21, 2026
Fractals are cool, Pathtracing is cool. I implemented some fractals in Metal Performance Shaders, here are the results.
MathematicsProgrammingGraphicsFractals
Zenos Turtle
September 2, 2025
The Greek philosopher [Zeno of Elea](https://en.wikipedia.org/wiki/Zeno_of_Elea) is famous for formulating paradoxes that challenge our intuition abo...
Mathematics
Animating a double pendulum
August 13, 2025
Simulating a [double pendulum](https://en.wikipedia.org/wiki/Double_pendulum) involves solving its equations of motion, which are derived from [Lagra...
MathematicsProgrammingSimulation