Function Repository Resource:

# InversionSurface

Compute the inversion surface

Contributed by: Wolfram Staff (original content by Alfred Gray)
 ResourceFunction["InversionSurface"][ρ,s,t] computes the inversion of a surface s with respect to a sphere of radius ρ and parameters u, v. ResourceFunction["InversionSurface"][q,ρ,s,t] computes the inversion with respect to a sphere displaced to a point q.

## Details and Options

The inversion is performed with respect to a sphere called the inversion sphere.

## Examples

### Basic Examples (3)

Define a torus:

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The inverse surface of a torus is a Dupin cyclide:

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Visualize them:

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### Scope (5)

Define a helicoid:

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The inverse surface of a helicoid:

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A plot, including the inversion sphere:

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Zoom in near the origin:

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The inversion displaced to a point q:

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Enrique Zeleny

## Version History

• 1.0.0 – 11 March 2020