Published September 1988
| Published
Journal Article
Open
The 3D kaleidoscope
- Creators
- Blinn, James F.
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.
Additional Information
© 1988 IEEE.Attached Files
Published - 00007756.pdf
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Additional details
- Eprint ID
- 79037
- Resolver ID
- CaltechAUTHORS:20170712-163915992
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2017-07-13Created from EPrint's datestamp field
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2021-11-15Created from EPrint's last_modified field