Icositetragon

Icositetragon
Rank	2
Type	Regular
Space	Spherical
Notation
Coxeter diagram	x24o
Schläfli symbol	{24}
Elements
Edges	24
Vertices	24
Vertex figure	Dyad, length $\sqrt{2+\sqrt{2+\sqrt{3}}}$
Measures (edge length 1)
Circumradius	$\sqrt{\frac{8+3\sqrt{6}+\sqrt{98+40\sqrt{6}}}{2}} \approx 3.83065$
Inradius	$\frac{2+\sqrt{6}+\sqrt{5+2\sqrt{6}}}{2} \approx 3.79788$
Area	$6(2+\sqrt{6}+\sqrt{5+2\sqrt{6}}) \approx 45.57452$
Angle	165°
Central density	1
Number of external pieces	24
Level of complexity	1
Related polytopes
Army	{24}
Dual	Icositetragon
Conjugates	Small icositetragram, icositetragram, great icositetragram
Abstract & topological properties
Flag count	48
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(24), order 48
Convex	Yes
Nature	Tame

The icositetragon is a polygon with 24 sides. A regular icositetragon has equal sides and equal angles.

Stellations

• 2-icositetragram (compound of 2 dodecagons)
• 3-icositetragram (compound of 3 octagons)
• 4-icositetragram (compound of 4 hexagons)
• 5-icositetragram
• 6-icositetragram (compound of 6 squares)
• 7-icositetragram
• 8-icositetragram (compound of 8 triangles)
• 9-icositetragram (compound of 3 octagrams)
• 10-icositetragram (compound of 2 dodecagrams)
• 11-icositetragram

External links

• Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".