Mathematical Imagery by Jos Leys

Voronoi diagrams

Acknowledgments to Craig S. Kaplan , who introduced me
to ornamental Voronoi designs through his paper on the subject.

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Grid
Consider a grid of points.

Triangulation
Draw lines that limit areas closest to points of the grid.(This is the Delaunay triangulation.)

Coloring
Now color this area in some fashion.

Other variations of this principle are possible.

vor062

vor060

vor051

vor056

vor093

vor049

vor061

vor002

vor082

vor105

vor022

vor096

vor032

vor031

vor075

vor066

vor071

vor086

vor050

vor003

vor095

vor044

vor099

vor058

vor104

vor020

vor033

vor092

vor070

vor030

vor073

vor042

vor077

vor059

vor057

vor091

vor074

vor048

vor087

vor035

vor055

vorp001

vor017

vor065

vor023

vor108

vor103

vor101

vor064

vor024

vor026

vorpen001
Voronoi diagram of a Penrose tiling

vorpen006
Voronoi diagram of a Penrose tiling

vorpen007
Voronoi diagram of a Penrose tiling

vorpen003
Voronoi diagram of a Penrose tiling

vorpen002
Voronoi diagram of a Penrose tiling

vorpen004
Voronoi diagram of a Penrose tiling
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Copyright 2017 Jos Leys