This page is a sub-page of our page on Geometry.
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Related KMR-pages:
• Inverse Curves
• Inversion
• Conformal Mapping
• Möbius transformations
• Steiner Circles
• Stereographic Projection
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Other relevant sources of information:
• Inversive Geometry at Wikipedia
• Inversive Geometry at Wolfram MathWorld
• Indra’s Pearls (Book), by David Mumford, Caroline Series and David Wright, at Wikipedia.
• Indra’s Pearls (Web site) at the Department of Mathematics, The College of Arts and Sciencces, Oklahoma State University.
• Klein’s Web Pages, at the Department of Mathematics, The College of Arts and Sciencces, Oklahoma State University.
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The interactive simulations on this page can be navigated with the Free Viewer
of the Graphing Calculator.
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Inversion of a circular-helix ellipse Monge surface:
The interactive simulation that created this movie.
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Inversion of a circular-helix square Monge surface:
The interactive simulation that created this movie.
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Inversion of circular helix ellipse PSTC surface.gcf
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Inversion of an ellipsoid (with moving principal curves):
The interactive simulation that created this movie.
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Inversion of a tangent developable:
The interactive simulation that created this movie.
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Inversion of a TangentSurface of a circular helix (with principalnet):
The interactive simulation that created this movie.
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Inversion of the polar developable of a circular helix:
The interactive simulation that created this movie.
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Inversion of a rectifying developable of a circular helix:
The interactive simulation that created this movie.
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Inversion of ConfocalQuadrics:
The interactive simulation that created this movie.
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Inversion of a Dupin cyclide (pn1 lines):
The interactive simulation that created this movie
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Inversion of parallel Dupin cyclides
The interactive simulation that created this movie
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Dupin Cyclides as Inversions of Circular Cones
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Inversion of a circular cone 0:
The interactive simulation that created this movie.
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Inversion of a circular cone 1:
The interactive simulation that created this movie.
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Inversion of a circular cone 2:
The interactive simulation that created this movie.
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Inversion of a circular cone 3:
The interactive simulation that created this movie.
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Inversion of a rotating circular cone:
The interactive simulation that created this movie.
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Inversion of a circular helicoid:
The interactive simulation that created this movie.
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Inversion of a CircularHelix Canal Surface:
The interactive simulation that created this movie.
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