# Polyhedron Sentence Examples

polyhedron
• More briefly, the figure may be defined as a polyhedron with two parallel faces containing all the vertices.

• The points thus obtained are evidently the vertices of a polyhedron with plane faces.

• Probably the best way to make a sphere is to make a polyhedron with a large number of sides.

• Each stage of refinement defines a new, denser, polyhedron whose vertices are related to local sets of vertices of the original.

• In the first place, each of these figures may be conceived as an orthogonal projection of a closed plane-faced polyhedron.

• Clerk Maxwell, who showed amongst other things that a reciprocal can always be drawn to any figure which is the orthogonal projection of a plane-faced polyhedron.

• Normally by the end of the calculation less than one half of the entries in BOX actually are used to define the limiting polyhedron.

• In origami this term is often misused to mean any star-like form produced by adding pyramids to the faces of a convex polyhedron.

• The head of this list is iteratively decimated and the list updated until a target number of vertices for the sparse polyhedron is met.

• This is one of the Platonic solids, and is treated in the article Polyhedron, as is also the derived Archimedean solid named the "truncated tetrahedron"; in addition, the regular tetrahedron has important crystallographic relations, being the hemihedral form of the regular octahedron and consequently a form of the cubic system.

• The "regular icosahedron" is one of the Platonic solids; the "great icosahedron" is a Kepler-Poinsot solid; and the "truncated icosahedron" is an Archimedean solid (see Polyhedron).

• The "ordinary dodecahedron" is one of the Platonic solids (see Polyhedron).

• The "small stellated dodecahedron," the "great dodecahedron" and the "great stellated dodecahedron" are Kepler-Poinsot solids; and the "truncated" and "snub dodecahedra" are Archimedean solids (see Polyhedron).

• One needs to select all atoms in the cage - these will be the vertices of the final polyhedron.

• The mensuration of the cube, and its relations to other geometrical solids are treated in the article Polyhedron; in the same article are treated the Archimedean solids, the truncated and snubcube; reference should be made to the article Crystallography for its significance as a crystal form.