TAILIEUCHUNG - Mathematics and Visualization Series Editors Gerald Farin Hans-Christian Hege David Hoffman

The earliest stone tools were crude, being little more than a fractured rock. In the Acheulian era, beginning approximately million years ago, methods of working these stone into specific shapes, such as hand axes emerged. The Middle Paleolithic, approximately 300,000 years ago, saw the introduction of the prepared-core technique, where multiple blades could be rapidly formed from a single core stone.[23] The Upper Paleolithic, beginning approximately 40,000 years ago, saw the introduction of pressure flaking, where a wood, bone, or antler punch could be used to shape a stone very finely.[25]. | Mathematics and Visualization Series Editors Gerald Farin Hans-Christian Hege David Hoffman Christopher R. Johnson Konrad Polthier Martin Rumpf Jean-Daniel Boissonnat Monique Teillaud Editors Effective Computational Geometry for Curves and Surfaces With 120 Figures and I Table Aspringer Jean-Daniel Boissonnat Monique Teillaud INRIA Sophia-Antipolis 2004 route des Lucioles . 93 06902 Sophia-Antipolis France E-mail Cover Illustration Cover Image by Steve Oudot INRIA Sophia Antipolis The standard left trefoil knot represented as the intersection between two algebraic surfaces that are the images through a stereographic projection of two submanifolds of the unit 3-sphere S3 - further details can be found in 1 Chap. III Section . This picture was obtained from a 3D model generated with the CGAL surface meshing algorithm. 1 E. Brieskorn and H. Knorrer. Plane Algebraic Curves. Birkhauser Basel Boston Stuttgart 1986. Library of Congress Control Number 2006931844 Mathematics Subject Classification 68U05 65D18 14Q05 14Q10 14Q20 68N19 68N30 65D17 57Q15 57R05 57Q55 65D05 57N05 57N65 58A05 68W05 68W20 68W25 68W40 68W30 33F05 57N25 58A10 58A20 58A25. ISBN-10 3-540-33258-8 Springer Berlin Heidelberg New York ISBN-13 978-3-540-332589 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved whether the whole or part of the material is concerned specifically the rights of translation reprinting reuse of illustrations recitation broadcasting reproduction on microfilm or in any other way and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9 1965 in its current version and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science Business Media .

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