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"content": "<p>**A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode**</p><p>β_....the hyper-Catalan numbers πΆπ¦ count the number of subdivisions of a polygon into a given number of triangles, quadrilaterals, pentagons, etc. (its type π¦), and we show that their generating series solves a polynomial equation of a particular geometric form. This solution is straightforwardly extended to solve the general univariate polynomial equation._β</p><p>Wildberger, N. J. and Rubine, D. (2025) βA Hyper-Catalan Series Solution to Polynomial Equations, and the Geodeβ, The American Mathematical Monthly, pp. 1β20. doi: <a href=\"https://doi.org/10.1080/00029890.2025.2460966\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><span class=\"invisible\">https://</span><span class=\"ellipsis\">doi.org/10.1080/00029890.2025.</span><span class=\"invisible\">2460966</span></a>.</p><p><a href=\"https://qoto.org/tags/OpenAccess\" class=\"mention hashtag\" rel=\"tag\">#<span>OpenAccess</span></a> <a href=\"https://qoto.org/tags/OA\" class=\"mention hashtag\" rel=\"tag\">#<span>OA</span></a> <a href=\"https://qoto.org/tags/Article\" class=\"mention hashtag\" rel=\"tag\">#<span>Article</span></a> <a href=\"https://qoto.org/tags/DOI\" class=\"mention hashtag\" rel=\"tag\">#<span>DOI</span></a> <a href=\"https://qoto.org/tags/Maths\" class=\"mention hashtag\" rel=\"tag\">#<span>Maths</span></a> <a href=\"https://qoto.org/tags/Mathematics\" class=\"mention hashtag\" rel=\"tag\">#<span>Mathematics</span></a> <a href=\"https://qoto.org/tags/Math\" class=\"mention hashtag\" rel=\"tag\">#<span>Math</span></a> <a href=\"https://qoto.org/tags/Algebra\" class=\"mention hashtag\" rel=\"tag\">#<span>Algebra</span></a> <a href=\"https://qoto.org/tags/Polynomials\" class=\"mention hashtag\" rel=\"tag\">#<span>Polynomials</span></a> <a href=\"https://qoto.org/tags/Academia\" class=\"mention hashtag\" rel=\"tag\">#<span>Academia</span></a> <a href=\"https://qoto.org/tags/Academics\" class=\"mention hashtag\" rel=\"tag\">#<span>Academics</span></a></p>",
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