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The word "place" has a special meaning in complex variables, where it roughly corresponds to a point in the complex plane (except that it reflects the Riemann sheet structure ...
The Gauss map is a function N from an oriented surface M in Euclidean space R^3 to the unit sphere in R^3. It associates to every point on the surface its oriented unit ...
Half of a sphere cut by a plane passing through its center. A hemisphere of radius r can be given by the usual spherical coordinates x = rcosthetasinphi (1) y = ...
A sphere is rigid.
Half a zip-pair.
A line that passes through the center of a circle or sphere.
A spherical cap is the region of a sphere which lies above (or below) a given plane. If the plane passes through the center of the sphere, the cap is a called a hemisphere, ...
The dimension of a special series can never exceed half its order.
A conformal mapping from the upper half-plane to a polygon.
Finding the densest not necessarily periodic sphere packing.
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