# Convexification

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For a simply connected polygon , *convexification* is the process of taking the convex hull of and then, for any side of that is not part of , reflecting the part of inside over the segment . Iterating the process eventually leads to a convex shape.

Contributed by: Robert Dickau, George Beck (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: a regular star requires only one convexification to become a convex figure

Snapshots 2, 3: the convexification of a figure often appears unlike the original figure

Reference: Z. A. Melzak, *Invitation to Geometry*, Mineola, NY: Dover, 2008.

## Permanent Citation

"Convexification"

http://demonstrations.wolfram.com/Convexification/

Wolfram Demonstrations Project

Published: March 7 2011