# Circle Packings with Linear Fractional Transformations

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A linear fractional transformation of the complex plane has the form , where , , , and are complex, and . Such a map is conformal (i.e. it preserves angles locally) and preserves generalized circles (i.e. lines or circles map into lines or circles).

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Contributed by: Enrique Zeleny (January 2015)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1 shows the hexagonal grid with disks.

## Permanent Citation

"Circle Packings with Linear Fractional Transformations"

http://demonstrations.wolfram.com/CirclePackingsWithLinearFractionalTransformations/

Wolfram Demonstrations Project

Published: January 12 2015