Discrete differential geometry is an active mathematical terrain
where differential geometry and discrete geometry meet and
interact. It provides discrete equivalents of the geometric notions
and methods of differential geometry, such as notions of curvature
and integrability for polyhedral surfaces. Current progress in this
field is to a large extent stimulated by its relevance for computer
graphics and mathematical physics. This collection of essays, which
documents the main lectures of the 2004 Oberwolfach Seminar on the
topic, as well as a number of additional contributions by key
participants, gives a lively, multi-facetted introduction to this
emerging field.
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