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

[math]\displaystyle{ A = 6a^2 \cot \frac{\pi}{24} = 6a^2 ( 2+\sqrt{2}+\sqrt{3}+\sqrt{6}) \simeq 45.5745 a^2. }[/math]

Icosikaitetragon Media

• 

  Symmetries of a regular icositetragon. Vertices are colored by their symmetry positions. Blue mirrors are drawn through vertices, and purple mirrors are drawn through edge. Gyration orders are given in the center.

• 

  24-gon rhombic dissection-size2

• 

  Isotoxal 24-gon rhombic dissection-size2

• 

  12-cube dodekeract graph

• 

  regular '2n'-gon dissected into rhombs from an orthogonal projection of an 'n'-cube.

• 

  24-gon rhombic dissection2

• 

  24-gon rhombic dissectionx

• 

  en:regular polygon dissection by rhombi, random

• 

  3.8.24 tiling, vertex arrangement