Icosikaitetragon

A icosikaitetragon

A icosikaitetragon or icositetragon is a shape with 24 sides and 24 corners.

Regular icosikaitetragon

All sides of a regular icosikaitetragon are the same length. Each corner is 165°. All corners added together equal 3960°.

Area

The amount of space a regular icosikaitetragon takes up is

The area of a regular icosikaitetragon of side length a is given by

$A=6a^2\cot \frac{\pi }{24}=6a^2(2+\sqrt{2}+\sqrt{3}+\sqrt{6})\simeq 45.5745a^2.$