👉 A barysphere, also known as a barycentric sphere or barycentric ellipsoid, is a type of surface obtained by intersecting a sphere with an equilateral triangle. It can be thought of as a 3D version of a ball (or ball and sphere), where the center of the sphere is at the center of the triangle, and each vertex of the triangle is tangent to the sphere. The barycentric ellipsoid has two important properties: 1.