A 32-sided polygon. The regular icosidodecagon is a constructible polygon, and the regular icosidodecahedron of side length 1 has inradius 
, circumradius 
, and area 
 |  | ![1/2[1+sqrt(2)+sqrt(2(2+sqrt(2)))+sqrt(2(2+sqrt(2))(2+sqrt(2+sqrt(2))))]](/images/equations/Icosidodecagon/Inline6.svg) |
(1)
|
 |  | ![[1/2(2+sqrt(2))(2+sqrt(2+sqrt(2)))×(2+sqrt(2+sqrt(2+sqrt(2))))]^(1/2)](/images/equations/Icosidodecagon/Inline9.svg) |
(2)
|
 |  | ![8[1+sqrt(2)+sqrt(2(2+sqrt(2)))+sqrt(2(2+sqrt(2))(2+sqrt(2+sqrt(2))))].](/images/equations/Icosidodecagon/Inline12.svg) |
(3)
|
Icosidodecagon
See also
Trigonometry Angles--Pi/32Explore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Icosidodecagon." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Icosidodecagon.html