How to use in-sentence of “polyhedron”:
– Euler’s formula was about the number of edges, vertices, and faces of a convex polyhedron was studied and generalized by Augustin Louis CauchyCauchy and is at the origin of topology.
– Two types of polyhedron are convex and concave.
– The edges connecting vertices in one polyhedron match with the edges connecting faces of the other.
– The other three polyhedra with this property are the pentagonal dipyramid, the snub disphenoid, and an irregular polyhedron with 12 vertices and 20 triangular faces.
– Its dual polyhedron is the dodecahedron.
– The line connecting two points of a concave polyhedron may go outside the polyhedron.
– The octahedron is the dual polyhedron to the cube.
– The line connecting any two points of a convex polyhedron is inside the polyhedron.

