LARGE TYPICAL CELLS IN POISSON–DELAUNAY MOSAICS DANIEL HUG and ROLF SCHNEIDER Dedicated to Tudor Zamfirescu on the occasion of his sixtieth birthday
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چکیده
It is proved that the shape of the typical cell of a Poisson–Delaunay tessellation of R tends to the shape of a regular simplex, given that the surface area, or the inradius, or the minimal width, of the typical cell tends to infinity. Typical cells of large diameter tend to belong to a special class of simplices, distinct from the regular ones. In the plane, these are the rightangled triangles.
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