Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Conformal Geometry
Geometric Algebra primitives for Conformal Geometry (Round Projective Geometry)
$CGA | Geometric Algebra {4,1} |
RegionCGA | |
CGARegions | |
CGAFlatPoint | |
CGALine | |
CGAPlane | |
CGARoundPoint | |
CGADipole | |
CGACircle | |
CGASphere |
Load the context with Projective Geometry functionality:
In[526]:=
Get["Wolfram`GeometricAlgebra`"]Get["Wolfram`GeometricAlgebra`ProjectiveGeometry`"]
In[26]:=
$CGA["OrderedBasis"]
Out[26]=
2D Conformal Geometry
Join
Join
Dipole containing two round points
Dipole containing two round points
Out[37]=
Line containing a flat point and a round point
Line containing a flat point and a round point
Out[41]=
Circle containing a dipole and a round point
Circle containing a dipole and a round point
Out[56]=
Meet
Meet
Dipole where two circles intersect
Dipole where two circles intersect
Out[4]=
Dipole where a circle and a line intersect
Dipole where a circle and a line intersect
Out[32]=
Round point contained by a circle and a dipole
Round point contained by a circle and a dipole
Out[45]=
Round point contained by a line and a dipole
Round point contained by a line and a dipole
Round point centered at a flat point and contained by a circle
Round point centered at a flat point and contained by a circle
Expansion
Expansion
Dipole containing a round point and a circle
Dipole containing a round point and a circle
Dipole containing a round point and orthogonal to a line
Dipole containing a round point and orthogonal to a line
Circle containing a dipole and orthogonal to a circle
Circle containing a dipole and orthogonal to a circle
Circle containing a round point and orthogonal to a dipole
Circle containing a round point and orthogonal to a dipole
Circle containing a round point and orthogonal to a dipole
Circle containing a round point and orthogonal to a dipole
Circle containing a round point and centered at a flat point
Circle containing a round point and centered at a flat point
Transforms
Transforms
Circle inversion
Circle inversion
Motor
Motor
3D Conformal Geometry
Join
Join
Dipole containing two round points
Dipole containing two round points
Line containing a flat and a round point
Line containing a flat and a round point
Circle containing a dipole and a round point
Circle containing a dipole and a round point
Plane containing a line and a round point
Plane containing a line and a round point
Sphere containing a round point and a circle
Sphere containing a round point and a circle
Sphere containing two dipoles
Sphere containing two dipoles
Circle through three points
Circle through three points
Meet
Meet
Circle where two spheres intersect
Circle where two spheres intersect
Circle where a sphere and a plane intersect
Circle where a sphere and a plane intersect
Dipole where a sphere and a circle intersect
Dipole where a sphere and a circle intersect
Dipole where a plane and a circle intersect
Dipole where a plane and a circle intersect
Dipole where a sphere and a line intersect
Dipole where a sphere and a line intersect
Expansion
Expansion
Dipole containing a round point and orthogonal to a sphere
Dipole containing a round point and orthogonal to a sphere
Dipole containing a round point and orthogonal to a plane
Dipole containing a round point and orthogonal to a plane
Circle containing a dipole and orthogonal to a sphere
Circle containing a dipole and orthogonal to a sphere
Circle containing a dipole and orthogonal to a plane
Circle containing a dipole and orthogonal to a plane
Sphere containing a circle orthogonal to a sphere
Sphere containing a circle orthogonal to a sphere
Sphere containing a circle orthogonal to a plane
Sphere containing a circle orthogonal to a plane
Plane containing a flat point and orthogonal to a circle
Plane containing a flat point and orthogonal to a circle
Sphere containing a dipole and orthogonal to a circle
Sphere containing a dipole and orthogonal to a circle
Transforms
Transforms
Sphere inversion
Sphere inversion
Dilation
Dilation