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The maximum number of polyhedra with a common vertex

The maximum number of polyhedra with a common vertex [Pg.159]

There are two other geometrical theorems that we shall state without proof, namely, that the maximum number of regular tetrahedra that can meet at a point is ei t, and the maximum number of regular octahedra that can meet at a point is six, assuming in each case that the distance between X atoms of different polyhedra s not less than the edge-length of the polyhedron. The numbers of these polyhedra [Pg.159]

We now survey structures built from tetrahedra and octahedra. A survey of the kind attempted in this chapter not only emphasizes the great number and variety of structures arising from such simple building units as tetrahedra and octahedra but also draws attention to  [Pg.160]

We may perhaps remind the reader at this point of the general types of connected system which are possible when any unit (atom or coordination group) is joined to a number (p) of others  [Pg.161]




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Polyhedra

The vertices

Vertices

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