Triacontadigon

Template:Regular polygon db A triacontadigon or icosidodecagon is a shape with 32 sides and 32 corners.

Regular triacontadigon

All sides of a regular triacontadigon are the same length. Each corner is 168Template:Frac°. All corners added together equal 5400°.

Area

The amount of space a regular triacontadigon takes up is

$\text{Area}=8a^2(1+\sqrt{2}+\sqrt{4+2\sqrt{2}}+\sqrt{8+4\sqrt{2}+2\sqrt{20+14\sqrt{2}}}).$

a is the length of one of its sides.

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