DETECTION OF FACES IN WIRE-FRAME POLYHEDRA - Interactive Modelling of Uniform Polyhedra

Hidetoshi Nonaka

Abstract

This paper presents an interactive modelling system of uniform polyhedra including regular polyhedra, semi-regular polyhedra, and intersected concave polyhedra. In our system, user can virtually “make” and “handle” them interactively. The coordinate of vertices are computed without the knowledge of faces, solids, or metric information, but only with the isomorphic graph structure. After forming a wire-frame polyhedron, the faces are detected semi-automatically through user-computer interaction. This system can be applied to recreational mathematics, computer assisted education of the graph theory, and so on.

References

  1. Coxeter, H. S. M., 1973. Regular Polytopes, Dover Publications, New York.
  2. Coxeter, H. S. M., 1999. The Beauty of Geometry, Twelve Essays, Dover Publications, New York.
  3. Holden, A., 1971. Shapes, Space, and Symmetry, Columbia University Press, New York.
  4. Martin, P. and Martin, D., 1999. PolyFormes: Software for the declarative modelling of polyhedra, The Visual Computer, 15 (2), 55-76.
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Paper Citation


in Harvard Style

Nonaka H. (2008). DETECTION OF FACES IN WIRE-FRAME POLYHEDRA - Interactive Modelling of Uniform Polyhedra . In Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008) ISBN 978-989-8111-20-3, pages 134-137. DOI: 10.5220/0001095301340137


in Bibtex Style

@conference{grapp08,
author={Hidetoshi Nonaka},
title={DETECTION OF FACES IN WIRE-FRAME POLYHEDRA - Interactive Modelling of Uniform Polyhedra},
booktitle={Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)},
year={2008},
pages={134-137},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001095301340137},
isbn={978-989-8111-20-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)
TI - DETECTION OF FACES IN WIRE-FRAME POLYHEDRA - Interactive Modelling of Uniform Polyhedra
SN - 978-989-8111-20-3
AU - Nonaka H.
PY - 2008
SP - 134
EP - 137
DO - 10.5220/0001095301340137