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Author Akleman, E. ♦ Chen, J. ♦ Gross, J.L.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2010
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Special computer methods
Subject Keyword Strips ♦ Connectors ♦ Solid modeling ♦ Shape ♦ Fasteners ♦ Gaussian processes ♦ Computer science ♦ Data structures ♦ Laser beam cutting ♦ Fingers ♦ Gauss-Bonnet Theorem ♦ Topology ♦ Shape Modeling ♦ Gaussian Curvature
Abstract This paper introduces paper-strip sculptures, a physical mesh data-structure used to represent 2-manifold mesh surfaces for understanding topological and geometrical aspects of shape modeling with visual and tactual examples. With paper strips it is possible to construct simple paper sculptures that can convincingly illustrate a variety of ideas in shape modeling --- such as 2-manifold mesh surfaces, discrete Gaussian curvature, and the Gauss-Bonnet theorem --- with hands-on experiments. Such sculptures can also represent links, knots and weaving. Paper-strip sculptures are also useful to represent and understand non-orientable surfaces such as the projective plane and the Klein bottle.
ISBN 9781424472598
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2010-06-21
Publisher Place France
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781424472604
Size (in Bytes) 460.32 kB
Page Count 5
Starting Page 236
Ending Page 240

Source: IEEE Xplore Digital Library