Where can I find more information on secure polygon problems and questions related to it?

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Recently I watched got interested in secure polygon problem (SPP), but not only that, I would also want to learn more about this type of mathematical structures in general.
As I understand, the SPP is closely related to studies of dynamical systems and topology.
What books/information sources would you recommend to start my journey with such mathematical ideas and also what math branches should I learn more about to explore things similar to SPP?