Inversive Geometry

This page is a sub-page of our page on Geometry.

///////

Related KMR-pages:

Inverse Curves
Inversion
Conformal Mapping
Möbius transformations
Steiner Circles
Stereographic Projection

///////

Other relevant sources of information:

Inversive Geometry at Wikipedia
Inversive Geometry at Wolfram MathWorld

///////

The interactive simulations on this page can be navigated with the Free Viewer
of the Graphing Calculator.

///////

Inversion of a circular-helix ellipse Monge surface:

The interactive simulation that created this movie.

///////

Inversion of a circular-helix square Monge surface:

The interactive simulation that created this movie.

///////

Inversion of circular helix ellipse PSTC surface.gcf

///////

Inversion of an ellipsoid (with moving principal curves):

The interactive simulation that created this movie.

///////

Inversion of a tangent developable:

The interactive simulation that created this movie.

///////

Inversion of a TangentSurface of a circular helix (with principalnet):

The interactive simulation that created this movie.

///////

Inversion of the polar developable of a circular helix:

The interactive simulation that created this movie.

///////

Inversion of a rectifying developable of a circular helix:

The interactive simulation that created this movie.

///////

Inversion of ConfocalQuadrics:

The interactive simulation that created this movie.

///////

Inversion of a Dupin cyclide (pn1 lines):

The interactive simulation that created this movie

///////

Inversion of parallel Dupin cyclides

The interactive simulation that created this movie

///////

Dupin Cyclides as Inversions of Circular Cones

///////

Inversion of a circular cone 0:

The interactive simulation that created this movie.

///////

Inversion of a circular cone 1:

The interactive simulation that created this movie.

///////

Inversion of a circular cone 2:

The interactive simulation that created this movie.

///////

Inversion of a circular cone 3:

The interactive simulation that created this movie.

///////

Inversion of a rotating circular cone:

The interactive simulation that created this movie.

///////

Inversion of a circular helicoid:

The interactive simulation that created this movie.

///////

Inversion of a CircularHelix Canal Surface:

The interactive simulation that created this movie.

///////

Leave a Reply