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Catalan Geode

From EverybodyWiki Bios & Wiki


In April 2025 N. J. Wildberger and Dean Rubine showed a solution to solve the general univariate polynomial equation. This was done layering a hyper-Catalan numbers series that reveals the Catalan Geode. The Geode is an array that looks to be a base of the Catalan numerics. [1][2]

It elaborates on Divine Proportions: Rational Trigonometry to Universal Geometry from Wildberger.

References

  1. Wildberger, N. J.; Rubine, Dean (2025). "A Hyper-Catalan Series Solution to Polynomial Equations,and the Geode". The American Mathematical Monthly. 132 (5): 383–402. doi:10.1080/00029890.2025.2460966.
  2. "Mathematician solves algebra's oldest problem using intriguing new number sequences".


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