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Solid Geometry—Wolfram Language Documentation

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• Functions
  • ArcLength
  • Area
  • Ball
  • Circle
  • Circumsphere
  • CollinearPoints
  • Cone
  • CoplanarPoints
  • CSGRegion
  • CSGRegionQ
  • CSGRegionTree
  • Cube
  • Cuboid
  • Cylinder
  • Disk
  • Dodecahedron
  • FilledTorus
  • FindInstance
  • Graphics3D
  • HalfLine
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  • ImplicitRegion
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  • UniformPolyhedron
  • Volume
• Related Guides
  • Polyhedra
  • Plane Geometry
  • Operations on Geometric Regions
  • General Geometric Computing

The Wolfram Language provides fully integrated support for solid geometry, including basic regions such as points, lines, planes, and spheres; functions for computing basic properties such as arc length, surface area, and volume; and nearest points to solvers to find the intersection of regions or integrals over regions.

Point  ▪  Line  ▪  HalfLine  ▪  InfiniteLine

Triangle  ▪  Polygon  ▪  HalfPlane  ▪  InfinitePlane  ▪  Sphere  ▪  Circumsphere

Tetrahedron  ▪  Cuboid  ▪  Hexahedron  ▪  Pyramid  ▪  Prism  ▪  Parallelepiped  ▪  Polyhedron  ▪  Ball  ▪  Cylinder  ▪  Cone  ▪  Simplex  ▪  Tube  ▪  Torus  ▪  FilledTorus

Cube  ▪  Dodecahedron  ▪  Icosahedron  ▪  Octahedron  ▪  UniformPolyhedron

Polyhedron — polyhedron or collection of polyhedra with or without voids

PolyhedronCoordinates  ▪  InnerPolyhedron  ▪  OuterPolyhedron  ▪  ...

CSGRegion — constructive solid geometry region

CSGRegionQ  ▪  CSGRegionTree

Graphics3D — visualize regions with different styles

Region — standard region visualization

ArcLength — length of a curve

Area — area of a surface

Volume — volume of a solid

RegionMember — test whether a point is in a region

RegionNearest — nearest point in a region to a given point

RegionQ  ▪  RegionDimension  ▪  RegionDistance  ▪  ...

CollinearPoints  ▪  CoplanarPoints  ▪  PositivelyOrientedPoints  ▪  ...

FindInstance — find examples of points in a region

Solve — find curve crossings, surface intersections, etc.

NSolve  ▪  Reduce  ▪  Minimize  ▪  NMinimize  ▪  SpherePoints  ▪  ...

HalfLine  ▪  SASTriangle  ▪  Polygon  ▪  Circle  ▪  Disk  ▪  ...

ImplicitRegion  ▪  MeshRegion  ▪  RegionUnion  ▪  ...

Polyhedron Lamina Solid ...

▪
• Polyhedra
▪
• Plane Geometry
▪
• Operations on Geometric Regions
▪
• General Geometric Computing

• Wolfram Core Areas: Geometry

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