| A computer technique for displaying n-dimensional hyperobjects |
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Communications of the ACM
archive
Volume 10 , Issue 8 (August 1967)
table of contents
Pages: 469 - 473
Year of Publication: 1967
ISSN:0001-0782
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Downloads (6 Weeks): 4, Downloads (12 Months): 34, Citation Count: 12
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ABSTRACT
A digital computer and automatic plotter have been used to generate three-dimensional stereoscopic movies of the three-dimensional parallel and perspective projections of four-dimensional hyperobjects rotating in four-dimensional space. The observed projections and their motions were a direct extension of three-dimensional experience, but no profound "feeling" or insight into the fourth spatial dimension was obtained. The technique can be generalized to n-dimensions and applied to any n-dimensional hyperobject or hypersurface.
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.
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ABBOTT, EDWIN A., Flatland. Dover Publications, Inc., New York, 1952.
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BOERNER, HERMANN. Representations of Groups. North-Holland Publishing Co., Amsterdam, 1963.
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COXETER, H. S.M. Regular Polytopes. The Macmillan Co., New York, 1963.
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KENDALL, M. G. A Course In the Geometry of n Dimensions. Hafner Publishing Co., New York, 1961.
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MURNAGHAN, FRANCIS D. The Unitary and Rotation Groups. Spartan Books, Washington, D. C., 1962.
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NOLL, A. MICttAEL. Computer-generated three-dimensional movies. Comput. Autom. 14, 11 (Nov. 1965), 20-23.
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SOMMERVILLE, D. M. Y. An Introduction to the Geometry of N Dimensions. Dover Publications, Inc., New York, 1958.
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STROMBERG, GUSTAF. Space, time, and eternity. J. Franklin Inst. 272, 2 (Aug. 1961), 134-144.
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CITED BY 12
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C. L. Bajaj , V. Pascucci , G. Rabbiolo , D. Schikorc, Hypervolume visualization: a challenge in simplicity, Proceedings of the 1998 IEEE symposium on Volume visualization, p.95-102, October 19-20, 1998, Research Triangle Park, North Carolina, United States
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