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The 3D kaleidoscope

Blinn, James F. (1988) The 3D kaleidoscope. IEEE Computer Graphics and Applications, 8 (5). pp. 9-14. ISSN 0272-1716. http://resolver.caltech.edu/CaltechAUTHORS:20170712-163915992

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Abstract

The author presents a method for constructing platonic solids that takes advantage of their symmetry. This works well with a coordinate transform system, since symmetry is based on coordinate transformations. He treats the cube and other related shapes, using a seed-triangle element that can be rotated and reflected to generate the shape. He shows that the seed triangle can be replaced with any shape whatever, and all the replications will generate a result that also shares the symmetry of the cube. By making the seed shape rotate and move about in some random way, a changing shape that generates the 3-D kaleidoscope patterns of the title can be animated. The tetrahedron is also treated.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/38.7756DOIArticle
http://ieeexplore.ieee.org/document/7756/PublisherArticle
Additional Information:© 1988 IEEE.
Record Number:CaltechAUTHORS:20170712-163915992
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170712-163915992
Official Citation:J. F. Blinn, "The 3D kaleidoscope," in IEEE Computer Graphics and Applications, vol. 8, no. 5, pp. 9-14, Sept. 1988. doi: 10.1109/38.7756
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79037
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:13 Jul 2017 03:08
Last Modified:13 Jul 2017 03:08

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