Math Circle Meeting: September 10th, 2016

Agenda: Irregular Polygons

Presenters: Aubrey Rhoden and Kim Moore

Irregular Polygons Practice Problems 

Irregular Polygons Practice Problems Solutions

MATHCOUNTS Minis

  • How can you use similarity to solve irregular polygon problems?

  • How can you use the Shoelace Method to solve irregular polygon problems?

Explanation of Shoelace Method

A Million Dollar Problem

imbedded-square

Four Challenge Questions

  • Does every taxi loop have an inscribed square?

  • Does every loop have more than one inscribed square?

  • Does every taxi cab loop have an inscribed square if diagonals are allowed?

  • What is the link between this problem and the 1911 inscribed square problems of Toeplitz?

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