Talk:Viviani's theorem
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If Viviani's theorem is written in the form: d_1+d_2+d_3+...+d_n = r×E_(n-1), where d_k is the distance from an interior point to an (n-1)-D entity in the convex n_D polytope, E_(n-1) is the number of the (n-1)-D entities, and r is the radius of the inscribed n_D "hyper-sphere", Viviani's theorem is true for all n-D Platonic shapes, which include a line segment in 1-D, all regular polygons in 2-D, all Platonic solids in 3-D, and "hyper-equilateral triangles" and "hyper-squares". 70.51.226.39 (talk) 23:46, 24 July 2016 (UTC)