The first image shows the Voronoi tessellation of Poisson process random points in the plane. The expected density of the chosen points is one point per (15 pixels) squared.

In general, images show a planar section of the Voronoi tesselation of Poisson process random points in a higher dimensional Eucliean space. The dimension of the space is between 2 and 8 inclusive, shown on the left of each image. The expected density of the points is one point per hypercube of side 15 pixels. (That's the theory at least, my programs might actually be buggy.) The colors of the cells are randomly chosen.

These were inspired by David Madore's 2017-04 writeup Sections du diagramme de Voronoï du réseau E₈. Unlike the grid images shown there, the random tesselations here should appear completely aperiodic and isotropic.

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The following alternate versions assign colors similarly to David's images. I color the chosen points according to their coordinates in three directions orthogonal from each other and from the chosen plane.

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Images made by Zsbán Ambrus <>, 2017.