solid regular hexahedron

2 z<=a and 2 x<=a and 2 y<=a and 2 x>=-a and 2 z>=-a and 2 y>=-a

(-a/2, -a/2, -a/2) | (-a/2, -a/2, a/2) | (-a/2, a/2, -a/2) | (-a/2, a/2, a/2) | (a/2, -a/2, -a/2) | (a/2, -a/2, a/2) | (a/2, a/2, -a/2) | (a/2, a/2, a/2)

8

S = 6 a^2

x^_ = (0, 0, 0)

V = a^3

I = (a^2/6 | 0 | 0 0 | a^2/6 | 0 0 | 0 | a^2/6)

sqrt(3) a

χ = 1

s^_ = a Δ(3)

V^_ = (3977/216000 - π^2/2160) a^3

(where lengths and volumes refer to line segments and tetrahedra picked at random from points contained in the solid)

convex solids | hexahedra | parallelepipeds | solid polyhedra | regular solid polyhedra