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In this modal, we'll explore the notion of tessellation(or tiling), and through this, that of groups and actions of groups. We'll tackle Bieberbach's classic results on regular tessellations of the plane, Penrose's famous aperiodic tessellations, and affine tessellations of the plane.

References:

Tessellations of the plane, notes from a mini-course given at the École Polytechnique

 http://www.math.polytechnique.fr/xups/xups01.01.pdf


Course language: French

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