Transformation of a Boys Surface into a Steiners Surface and torus eversion

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Date
2003
Journal Title
Journal ISSN
Volume Title
Publisher
Eurographics Association
Abstract
The part 1 of the video shows a Boy s surface and a Steiner s Roman surface which are difficult to visualize without computer 3d graphics and demonstrates a continuous topological transformation between them. The part 2 of the video shows step by step how a two-dimensional torus with a hole can be turned inside out in R3 by a continuous topological operation without self-intersections. The torus without a disk, Boy s surface and Steiner s Roman surface are constructed as photorealistic two-sided and front-back coloured 3d objects.
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@inproceedings{
10.2312:egsl.20031079
, booktitle = {
Eurographics 2003 - Slides and Videos
}, editor = {}, title = {{
Transformation of a Boys Surface into a Steiners Surface and torus eversion
}}, author = {
Langer, M.
}, year = {
2003
}, publisher = {
Eurographics Association
}, ISSN = {
1017-4656
}, ISBN = {}, DOI = {
10.2312/egsl.20031079
} }
Citation