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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
Author
A. Michael Noll  Bell Telephone Laboratories, Murray Hill, NJ
Publisher
ACM  New York, NY, USA
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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.

 
1
ABBOTT, EDWIN A., Flatland. Dover Publications, Inc., New York, 1952.
 
2
BOERNER, HERMANN. Representations of Groups. North-Holland Publishing Co., Amsterdam, 1963.
 
3
COXETER, H. S.M. Regular Polytopes. The Macmillan Co., New York, 1963.
 
4
KENDALL, M. G. A Course In the Geometry of n Dimensions. Hafner Publishing Co., New York, 1961.
 
5
MURNAGHAN, FRANCIS D. The Unitary and Rotation Groups. Spartan Books, Washington, D. C., 1962.
 
6
NOLL, A. MICttAEL. Computer-generated three-dimensional movies. Comput. Autom. 14, 11 (Nov. 1965), 20-23.
 
7
SOMMERVILLE, D. M. Y. An Introduction to the Geometry of N Dimensions. Dover Publications, Inc., New York, 1958.
 
8
STROMBERG, GUSTAF. Space, time, and eternity. J. Franklin Inst. 272, 2 (Aug. 1961), 134-144.

CITED BY  12