Integrated Geometric Computing: New in Mathematica 6

Integrated Geometric Computing

A major innovation in Mathematica 6 is full integration of geometric computing. Based on an exceptionally powerful new geometry engine created at Wolfram Research, Mathematica 6 builds on Mathematica's unique strengths in numeric and algebraic computing, as well as graphics, to make geometric computing for the first time an immediately accessible tool for general computation.

Adaptive plotting of arbitrary equality- and inequality-defined regions in 2D and 3D. »
Integration, minimization and plotting over arbitrary implicitly defined regions. »
Geometric search in arbitrary dimensions with arbitrary metrics, including strings, with optimized repeated query mechanism. »
Support for symbolic geometric transformations in any number of dimensions. »
Complete built-in database of named polyhedra, with all geometric and other properties. »
Support for import and export of standard geometry formats (DXF, PLY, BYU, X3D, ...) »


Find Regions Defined by Inequalities	Regions Are Found Adaptively	3D Implicit Regions

Plot over Arbitrary Regions	Geometric Searching for Nearest Neighbors	Compute Geometric Transforms Symbolically

The World's Largest Collection of Data on Polyhedra	Use Arbitrary Implicit Regions to Visualize Surfaces