The Mighty Simplex (2023)
Postedabout 2 months agoActiveabout 2 months ago
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Algorithms
The article discusses the Simplex algorithm, a powerful method for solving linear programming problems, and its significance in various fields.
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Nov 15, 2025 at 11:49 AM EST
about 2 months ago
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But the real thing I wanted to mention here was the Poulsen Simplex [1]. This is the unique Choquet simplex [2] for which the extreme points are dense. This means that it's like an uncountably infinite dimensional triangle where no matter where you are inside the triangle, you're arbitrarily close to a corner. It's my favorite shape and absolutely wild and impossible to conceptualize (even though I worked with it daily for years!)
[0] https://en.wikipedia.org/wiki/Invariant_measure
[1] https://eudml.org/doc/74350
[2] https://en.wikipedia.org/wiki/Choquet_theory
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