Visualization of Conway Polyhedron Notation

• Hidetoshi Nonaka

• Conway polyhedron notation
• Polyhedral graph
• Visualization.

[1] G. W. Hart, "Conway Notation for Polyhedra",
URL: http://www.gergehart.co/virtual-polyhedra/conway_notation.html.
[2] E. W. Weisstein, "Conway Polyhedron Notation", MathWorld.
[3] H. S. M. Coxeter, "Regular Polytopes", Dover Publications, 1973.
[4] P. Martin, and D. Martin, "PolyFormes: Software for the declarative
modelling of polyhedra", The Visual Computer, 15 (2), pp. 55-76, 1999.
[5] G. W. Hart, and H. Picciotto, "Zome Geometry: Hands on Learning With
Zome Models", Key Curriculum Pr., 2001.
[6] A. Holden, "Shapes, Space, and Symmetry", Columbia University Press,
1971
[7] T. Nishizeki and N. Chiba, "Planar Graphs - Theory and Algorithms",
Dover Publications, 1988.
[8] T. Tyler, "Springie: A tensegrity simulator using Java, VRML and POV
Ray", http://springie.com/.
[9] K. Inoue, K. Shimada, and K. Chilaka, "Solid Model Reconstruction of
Wireframe CAD Models Based on Topological Embeddings of Planar
Graphs", Journal of Mechanical Design, 125, pp. 434-442, 2003.
[10] B. Gr├╝nbaum, "Graphs of polyhedra; polyhedra as graphs", Discrete
Mathematics, 307, pp. 445-463, 2007.
[11] H. Nonaka, "Detection of Faces in Wire-Frame Polyhedra", Proceedings
of International Conference on Computer Graphics Theory and
Applications, pp. 134-137, Jan. 2008.
[12] H. Nonaka, "Interactive Modeling of Uniform Polyhedra by Means of
Graph Drawing", Proceedings of International Conference on Information
Technology and Applications, 5, 822-827, 2008
[13] H. Nonaka, "Operation-Based Notation for Archimedean Graph",
Proceedings of World Multi-Conference on Systemics, Cybernetics and
Informatics, 12, 2008.
[14] H. Nonaka, "Modeling of Kepler-Poinsot Solid Using Isomorphic
Polyhedral Graph", International Journal of Computer Science, 3 (1)
64-67, 2008, http://www.waset.org/ijcs/former.html