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regular decagon
2 sqrt(5 + 2 sqrt(5)) a + y>=sqrt(2 (5 + sqrt(5))) x + sqrt(5) y and (1 + sqrt(5)) (sqrt(5 - 2 sqrt(5)) x + y)<=2 sqrt(5 + 2 sqrt(5)) a and sqrt(5 + 2 sqrt(5)) a>=2 y and 2 sqrt(5 + 2 sqrt(5)) a + (1 + sqrt(5)) (sqrt(5 - 2 sqrt(5)) x - y)>=0 and 2 sqrt(5 + 2 sqrt(5)) a + sqrt(2 (5 + sqrt(5))) x + y>=sqrt(5) y and 2 sqrt(5 + 2 sqrt(5)) a + sqrt(2 (5 + sqrt(5))) x + sqrt(5) y>=y and 2 sqrt(5 + 2 sqrt(5)) a + sqrt(10 - 2 sqrt(5)) x + sqrt(5) y + y>=0 and sqrt(5 + 2 sqrt(5)) a + 2 y>=0 and 2 sqrt(5 + 2 sqrt(5)) a>=(1 + sqrt(5)) (sqrt(5 - 2 sqrt(5)) x - y) and 2 sqrt(5 + 2 sqrt(5)) a + sqrt(5) y>=sqrt(2 (5 + sqrt(5))) x + y
(1/2 (1 + sqrt(5)) a, 0) | (1/4 (3 + sqrt(5)) a, sqrt(5/8 + sqrt(5)/8) a) | (a/2, 1/2 sqrt(5 + 2 sqrt(5)) a) | (-a/2, 1/2 sqrt(5 + 2 sqrt(5)) a) | (1/4 (-3 - sqrt(5)) a, sqrt(5/8 + sqrt(5)/8) a) | (1/2 (-1 - sqrt(5)) a, 0) | (1/4 (-3 - sqrt(5)) a, -1/2 sqrt(1/2 (5 + sqrt(5))) a) | (-a/2, -1/2 sqrt(5 + 2 sqrt(5)) a) | (a/2, -1/2 sqrt(5 + 2 sqrt(5)) a) | (1/4 (3 + sqrt(5)) a, -1/2 sqrt(1/2 (5 + sqrt(5))) a)
10
a>0
sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | sqrt(1/2 (5 + sqrt(5))) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | 1/2 (3 + sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | sqrt(5 + 2 sqrt(5)) a | (1 + sqrt(5)) a | (1 + sqrt(5)) a | (1 + sqrt(5)) a | (1 + sqrt(5)) a | (1 + sqrt(5)) a
r = 1/2 sqrt(5 + 2 sqrt(5)) a
h = 1/2 (1 + sqrt(5) - sqrt(5 + 2 sqrt(5))) a
A = 5/2 sqrt(5 + 2 sqrt(5)) a^2
x^_ = (0, 0)
J_x invisible comma x = 5/48 sqrt(1025 + 458 sqrt(5)) a^4
J_y invisible comma y = 5/48 sqrt(1025 + 458 sqrt(5)) a^4
J_zz = 5/24 sqrt(1025 + 458 sqrt(5)) a^4
J_x invisible comma y = 0
r_x = sqrt(1/3 + sqrt(5)/8) a^2 r_y = sqrt(1/3 + sqrt(5)/8) a^2
a | a | a | a | a | a | a | a | a | a
p = 10 a
r = 1/2 sqrt(5 + 2 sqrt(5)) a
R = a ϕ
2 a ϕ
χ = 1
A^_ = (sqrt(335801 + 749678/sqrt(5)) a^2)/1440