"From nothing I have created a new different world," wrote J nos
Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let
him know his discovery of non-Euclidean geometry, as we call it
today. The results of Bolyai and the co-discoverer, the Russian
Lobachevskii, changed the course of mathematics, opened the way for
modern physical theories of the twentieth century, and had an
impact on the history of human culture.
The papers in this volume, which commemorates the 200th
anniversary of the birth of J nos Bolyai, were written by leading
scientists of non-Euclidean geometry, its history, and its
applications. Some of the papers present new discoveries about the
life and works of J nos Bolyai and the history of non-Euclidean
geometry, others deal with geometrical axiomatics; polyhedra;
fractals; hyperbolic, Riemannian and discrete geometry; tilings;
visualization; and applications in physics.
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