This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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Computational Geometry
Mathematica's strengths in algebraic computation and graphics as well as numerics combine to bring unprecedented flexibility and power to geometric computation. Making extensive use of original algorithms developed at Wolfram Research, Mathematica's ability to represent and manipulate geometry symbolically allows it for the first time to fully integrate generation, analysis, and rendering of geometrical structures.
Nearest find nearest points in any number of dimensions with any metric
NearestFunction a function created to repeatedly find nearest points

Reduce symbolically reduce real, complex and integer geometry descriptions
CylindricalDecomposition, GroebnerBasis real, complex decompositions

RegionPlot, RegionPlot3D plot regions defined by inequalities
Integrate, NIntegrate find areas and volumes of geometric regions
Minimize, NMinimize globally minimize over geometric regions
LinearProgramming minimize over finite or infinite polyhedral regions

ListCurvePathPlot, ListSurfacePlot3D reconstruct curves and surfaces

GraphPlot, GraphPlot3D 2D, 3D graph layout

PolyhedronData geometrical and structural data on regular polyhedra

TUTORIALS