Convexification
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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.
[more]
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