Basic Examples (1) 

Invert through the point {1,2}:

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Scope (3) 

Inversion transform for a symbolic point {u,v,w}:

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Apply an inversion to a 2D shape:

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Apply an inversion to a 3D shape:

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Applications (4) 

Invert a graphic:

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Invert a 2D image:

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Inversion transform of a 3D image with respect to the origin:

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Invert the geometry and stereochemistry of a chiral molecule:

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Show the two enantiomers:

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Properties and Relations (3) 

The inversion transformation is an isometric transform—that is, it preserves distances:

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The inversion transformation is its own inverse:

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The determinant of the transformation matrix is –1 for odd-order dimensions and +1 for even-order dimensions:

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