Platonic solid Dice D7 Sphere with 7 congruent faces 7, 2, 5, 3, 6, 4, 1 A Platonic solid is a regular, convex polyhedron with congruent faces of regular polygons and the same number of faces meeting at each vertex. 1.all its faces are congruent convex regular polygons, 2.none of its faces intersect except at their edges, and 3.the same number of faces meet at each of its vertices. 4.the circumscribed sphere that passes through all the vertices, 5.the midsphere that is tangent to each edge at the midpoint of the edge, and 6.the inscribed sphere that is tangent to each face at the center of the face. D3 - D∞ FABLAB Lucerne, Ultimarker original+, 2015