When two lattice points are as close as possible, a unit distance apart, then and only then are they separated by a consonant interval.
42.
It is made by drawing planes normal to the segments joining nearest lattice points to a particular lattice point, through the midpoints of such segments.
43.
It is made by drawing planes normal to the segments joining nearest lattice points to a particular lattice point, through the midpoints of such segments.
44.
:Let n be a natural number and S a set of 4 " n " & minus; 3 lattice points in plane.
45.
In more technical language, they define an algebraic curve, algebraic surface, or more general object, and ask about the lattice points on it.
46.
A crystal is made up of a periodic arrangement of one or more atoms ( the " basis " ) repeated at each lattice point.
47.
This quantity can be visualized as the count of the number of lattice points fenced off by a hyperbolic surface in " k " dimensions.
48.
The number of lattice points contained in a polytope all of whose vertices are elements of the lattice is described by the polytope's Ehrhart polynomial.
49.
Each atom at a lattice point is then shared equally between eight adjacent cubes, and the unit cell therefore contains in total one atom ( ?8 ).
50.
In 2000, Lajos R�nyai proved a weakened form of Kemnitz's conjecture for sets with 4 " n " & minus; 2 lattice points.
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