Sublime Triangle
-a/2<=x<=a/2 and 0<=y<=1/2 sqrt(5 + 2 sqrt(5)) a (1 - 2 abs(x/a))
(-a/2, 0) | (a/2, 0) | (0, 1/2 sqrt(5 + 2 sqrt(5)) a)
3
a>0
(data not available)
1/2 sqrt(5 + 2 sqrt(5)) a
A = 1/4 sqrt(5 + 2 sqrt(5)) a^2
x^_ = (0, 1/6 sqrt(5 + 2 sqrt(5)) a)
J_x invisible comma x = 1/96 (5 + 2 sqrt(5))^(3/2) a^4
J_y invisible comma y = 1/96 sqrt(5 + 2 sqrt(5)) a^4
J_zz = 1/48 (3 + sqrt(5)) sqrt(5 + 2 sqrt(5)) a^4
J_x invisible comma y = 0
r_x = sqrt(5/24 + sqrt(5)/12) a r_y = a/(2 sqrt(6))
a | a ϕ | a ϕ
p = a (2 ϕ + 1)
r = 1/2 sqrt(5 - 2 sqrt(5)) a
R = sqrt(1/10 (5 + sqrt(5))) a
a ϕ
χ = 1
s^_ = 1/60 a ((5 + 2 sqrt(5)) log(1 + 2/sqrt(5)) + 2 (7 + sqrt(5) + sqrt(5) sinh^(-1)(2)))
A^_ = 1/48 sqrt(5 + 2 sqrt(5)) a^2