Largest polygon

Find the largest regular n-gon in a square with side a = 1 ?

1) largest equilateral triangle ? Solution

2) Largest square... mpf, uninterresting... Solution

3) largest pentagon ? Solution

4) largest hexagon ? Solution

5) largest octogon ? Solution

6) general case of n-gon ? Solution

7) What do you think of the "2-gon" ? Solution

Details

 

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