Discrete groups and visualization of three-dimensional manifolds

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Discrete groups and visualization of three-dimensional manifolds

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International Conference on Computer Graphics and Interactive Techniques archive
Proceedings of the 20th annual conference on Computer graphics and interactive techniques table of contents

Anaheim, CA

Pages: 255 - 262

Year of Publication: 1993

ISBN:0-89791-601-8

Author

Charlie Gunn

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 6, Downloads (12 Months): 28, Citation Count: 8

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	Bea83	Alan E Beardon. The Geometry of Discrete Groups. Springer-Verlag, 1983.
	Boy68	Carl B. Boyer. A History of Mathematics. Princeton University Press, 1968.
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	Cay59	A. Cayley. A sixth memoir upon quantics. Philosophical Transactions of the Royal Society of London , 149:61-90, 1859.
	Cox65	H.M.S. Coxeter. Non-Euclidean Geometry. University of Toronto Press, 1965.
	Cox73	H.M.S. Coxeter. Regular Polytopes. Dover, 1973.
	Cox87	H.M.S. Coxeter. Projective Geometry. Springer Verlag, 1987.
	ECH+91	David B. A. Epstein , M. S. Paterson , G. W. Camon , D. F. Holt , S. V. Levy , W. P. Thurston, Word Processing in Groups, A. K. Peters, Ltd., Natick, MA, 1992
	FRC92	Helaman Ferguson , Alyn Rockwood , Jordan Cox, Topological design of sculptured surfaces, ACM SIGGRAPH Computer Graphics, v.26 n.2, p.149-156, July 1992
	FvDFH90	James D. Foley , Andries van Dam , Steven K. Feiner , John F. Hughes, Computer graphics: principles and practice (2nd ed.), Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1990
	GK85	S. Gabriel and J. Kajiya. Spline interpolation in curved space. In State of the Art Image Synthesis, 1985. Course notes for SIGGRAPH 1985.
	GM91	Charlie Gunn and Delle Maxwell. Not Knot. Jones and Bartlett, 1991.
	Gun83	Chaflie Gunn. A computer implementation of the twodimensional euclidean crystallographic groups. Master's thesis, UNC, Chapel Hill, 1983.
	Gun92	Chaflie Gunn. Visualizing hyperbolic geometry. In Computer Graphics and Mathematics , pages 299-313. Eurographics, Springer Veflag, 1992.
	HD89	P.-K. Hsiung , R. H. P. Dunn, Visualizing relativistic effects in spacetime, Proceedings of the 1989 ACM/IEEE conference on Supercomputing, p.597-606, November 12-17, 1989, Reno, Nevada, United States [doi>10.1145/76263.76331]
	Lev92	Silvio Levy. Automatic generation of hyperbolic tilings. Leonardo, 35:349-354, 1992.
	LM78	E.H. Lockwood and R. H. Macmillan. Geometric symmetry. Cambridge University Press, 1978.
	MLP+	Tamara Munzner, Stuart Levy, Mark Phillips, Nathaniel Thurston, and Celeste Fowler. Geomview an interactive viewing program for sgi workstations, ftp@geom.umn.edu.
	Mun75	James Munkres. Topology: A First Course, chapter 8. Prentice-Hall, 1975.
	PG92	Mark Phillips , Charlie Gunn, Visualizing hyperbolic space: unusual uses of 4x4 matrices, Proceedings of the 1992 symposium on Interactive 3D graphics, p.209-214, June 1992, Cambridge, Massachusetts, United States [doi>10.1145/147156.147206]
	Sch80	R.L.E. Schwarzenberger. N-Dimensional Crystallography. Pitman Publishing, 1980. chapters 13-16.
	Thu82	William Thurston. Three dimensional manifolds, kleinian groups and hyperbolic geometry. BAMS, 19:417-431, 1982.
	Ups89	Steve Upstill. The Renderman Companion. Addison- Wesley, 1989. chapters 13-16.
	Wee	Jeff Weeks. snappea- a macintosh application for computing 3-manifolds. ftp@geom.umn.edu.
	Wee85	JeffWeeks. The Shape of Space. MarcelDekker, 1985.
	Woo22	Frederick Woods. Higher Geometry. Dover, 1961 (1922).

CITED BY 8

	Randy Hudson , Charlie Gunn , George K. Francis , Daniel J. Sandin , Thomas A. DeFanti, Mathenautics: using VR to visit 3-D manifolds, Proceedings of the 1995 symposium on Interactive 3D graphics, p.167-170, April 09-12, 1995, Monterey, California, United States
	I. Herman , P. ten Hagen , G. Reynolds , G. S. Carson , J. Davy , D. Duce , W. Hewitt , K. Kansy , B. Lurvey , H. Stenzel , R. Puk, PREMO: an ISO standard for presentation environment for multimedia objects, Proceedings of the second ACM international conference on Multimedia, p.111-118, October 15-20, 1994, San Francisco, California, United States
	Tamara Munzner , Paul Burchard, Visualizing the structure of the World Wide Web in 3D hyperbolic space, Proceedings of the first symposium on Virtual reality modeling language, p.33-38, December 13-15, 1995, San Diego, California, United States
	Ayellet Tal , David Dobkin, GASP: a system for visualizing geometric algorithms, Proceedings of the conference on Visualization '94, October 17-21, 1994, Washinton, D.C.
	Andrew J. Hanson , Tamara Munzner , George Francis, Interactive methods for visualizable geometry, Computer, v.27 n.7, p.73-83, July 1994
	Craig S. Kaplan , David H. Salesin, Islamic star patterns in absolute geometry, ACM Transactions on Graphics (TOG), v.23 n.2, p.97-119, April 2004
	Ayellet Tal , David Dobkin, Visualization of Geometric Algorithms, IEEE Transactions on Visualization and Computer Graphics, v.1 n.2, p.194-204, June 1995
	Andrew J. Hanson , Hui Ma, Space Walking, Proceedings of the 6th conference on Visualization '95, p.126, October 29-November 03, 1995