New in 10.0: Geometry

 

ReferenceReference

Geometric Computation

Geometric computation framework for modeling and computing with geometric regions.

Plane Geometry »

SSSTriangle  ▪  ArcLength  ▪  Area  ▪  ...

Solid Geometry »

Tetrahedron  ▪  Volume  ▪  RegionMember  ▪  ...

Properties and Measures »

RegionNearest find the nearest point in a region

RegionMeasure  ▪  RegionCentroid  ▪  RegionDistance  ▪  ...

Solvers over Regions »

Integrate, NIntegrate integrate over regions

NDSolve solve partial differential equations over regions

Solve  ▪  NSolve  ▪  Minimize  ▪  NMinimize  ▪  ...

Special Regions »

Ball a ball given by center and radius

Simplex  ▪  Hexahedron  ▪  InfiniteLine  ▪  ...

Formula Regions

ImplicitRegion a region given by combinations of inequalities and equalities

ParametricRegion a region given by parametric functions

Mesh Regions »

MeshRegion a region specified by a collection of mesh cells

BoundaryMeshRegion a region boundary specified by a collection of mesh cells

HighlightMesh  ▪  MeshCellStyle  ▪  MeshCellLabel  ▪  ...

Data Regions »

DelaunayMesh a Delaunay triangulation mesh constructed from points

VoronoiMesh  ▪  ConvexHullMesh  ▪  ...

Region Converters »

DiscretizeGraphics, BoundaryDiscretizeGraphics discretize 2D or 3D graphics

DiscretizeRegion, BoundaryDiscretizeRegion discretize a region

Derived Regions »

RegionUnion the union of regions

TransformedRegion a region as the image of a transformation

RegionIntersection  ▪  BooleanRegion  ▪  RegionBoundary  ▪  ...