13.6.12

Icosidodecagon




A 32-sided polygon. The regular icosidodecagon is a constructible polygon, and the regular icosidodecahedron of side length 1 has inradius r, circumradius R, and area A

r=1/2[1+sqrt(2)+sqrt(2(2+sqrt(2)))+sqrt(2(2+sqrt(2))(2+sqrt(2+sqrt(2))))]
(1)
R=[1/2(2+sqrt(2))(2+sqrt(2+sqrt(2)))×(2+sqrt(2+sqrt(2+sqrt(2))))]^(1/2)
(2)
A=8[1+sqrt(2)+sqrt(2(2+sqrt(2)))+sqrt(2(2+sqrt(2))(2+sqrt(2+sqrt(2))))].
(3)

No comments:

Post a Comment