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Fragmenting a Rectangle

• To: mathgroup at smc.vnet.net
• Subject: [mg115153] Fragmenting a Rectangle
• From: "Bruce Colletti" <bwcolletti at verizon.net>
• Date: Sun, 2 Jan 2011 04:58:11 -0500 (EST)

Re Mathematica 8.0.

How would I randomly tesselate a rectangular region?  

That is, how to fragment Rectangle[a,b] by connecting its corners to random
interior points {x1,...xN}?

This is probably easy using PlanarGraph2D, but I'm missing the obvious way
to accommodate the rectangle's corners.

Thanks.

Bruce