Frequently, geometry classes will avoid covering irregular polygons, or they will only cover specific cases, like rectangles and right triangles, but have little to say about crazy looking shapes like this irregular tricontakaioctagon (a 38-sided polygon).

However, there are many interesting applications of designing crazy-looking irregular polygons!

The quizzes in this unit will cover two of these applications in depth:

**1) The art gallery problem**

**2) Pick’s theorem (pegboard polygons)**.

Altogether, the quizzes in this chapter will build up to some very complex problems and surprising results!

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