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Three-Dimensional Voronoi Mesh

​
newsites
number ofsites
12
z
0.05
nextsite
A three-dimensional Voronoi diagram partitions 3D space into a set of polyhedra linked to sites. Points inside the polyhedron for a site
P=(
x
i
,
y
i
,
z
i
}
are closer to
P
than to any other site.
This Demonstration lets you look inside a 3D Voronoi diagram using two-dimensional cross sections perpendicular to the
z
axis.
The cross sections are sets of polygons that change with each value of
z
as you drag the slider. The "next site" button takes a cross section at
z
i
for the next site and shows the site as the point
(
x
i
,
y
i
}
.
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