Seminars & Colloquia Calendar

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Experimental Mathematics Seminar

Continued Fractions and the 4-Color Theorem

Richard Evan Schwartz, Brown University.

Location:  Zoom
Date & time: Thursday, 15 December 2022 at 5:00PM - 6:00PM

Abstract: Starting from one of the well-known reformulations of the 4-color theorem, I'll show some experiments I did concerning proper 4-colorings of the sphere triangulations in which the maximum number of triangles around a vertex is 6. I haven't made much progress on understanding all the solutions but I will show off a nice infinite family that gives a novel geometric interpretation of continued fractions.

Zoom link :
[password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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