Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 15 (2019), 097, 21 pages      arXiv:1912.05740      https://doi.org/10.3842/SIGMA.2019.097
Contribution to the Special Issue on Algebra, Topology, and Dynamics in Interaction in honor of Dmitry Fuchs

Fun Problems in Geometry and Beyond

Boris Khesin a and Serge Tabachnikov b
a) Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4, Canada
b) Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA

Received November 17, 2019; Published online December 11, 2019

Abstract
We discuss fun problems, vaguely related to notions and theorems of a course in differential geometry. This paper can be regarded as a weekend ''treasure chest'' supplementing the course weekday lecture notes. The problems and solutions are not original, while their relation to the course might be so.

Key words: clocks; spot it!; hunters; parking; frames; tangents; algebra; geometry.

pdf (1931 kb)   tex (1746 kb)  

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