Kragujevac J. Math. 28 - 3
Kragujevac J. Math. 28 (2005) 41-55.
GEODESIC POLYHEDRA AND NETS
Faculty of Mathematics, University of Belgrade,
P. O. Box
550, 11001 Belgrade, Serbia and Montenegro
Geodesics have a fundamental role in geometry of curved surfaces
and manifolds, as well as in discrete geometry. We are going to
expand some known facts about geodesics in regular differential
geometry to the discrete geometry. We present a discrete analogy
of the smooth surfaces parameterized by geodesics. The goal of our
consideration is the definition of discrete surfaces generated by
geodesics, studying of their properties and finding the algorithm
for the generation of these surfaces.