Creation of this resource was inspired by [url=http://gogeometry.com/school-college/5/p1430-regular-octagon-area-poster-conformal-mapping.htm]this problem[/url] by [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url]. [br][br]Shown below is a regular octagon.[br]Interact with this figure for a minute or two, and then answer the questions that follow.
How would you describe the phenomenon you see in your own words?
Why does this phenomenon hold true? How can we formally prove it?