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
Blog
Welcome to the blog. I'll share thoughts on programming and math, as well as other topics and general musings.
Featured Posts
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 SciencePhilosophyArtifical Intelligence
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
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