| Revision as of 13:10, 13 March 2007 editSectryan (talk | contribs)Extended confirmed users2,328 editsm sp fix← Previous edit | Revision as of 21:47, 25 October 2007 edit undoKubanczyk (talk | contribs)Extended confirmed users, Pending changes reviewers9,913 edits seems to be very solid modeling specific (or even CAD specific); it is incomprehensible now, maybe it will help to include in the proper context; per WP:NOT#DICTNext edit → | ||
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| In ], a '''Euler boolean operation''' is a series of modifications to ] which preserves the ] in the ] at every stage. One or more of these Euler boolean operations is stored in a ], so as to only represent models which are physically realizable. | In ], a '''Euler boolean operation''' is a series of modifications to ] which preserves the ] in the ] at every stage. One or more of these Euler boolean operations is stored in a ], so as to only represent models which are physically realizable. | ||
Revision as of 21:47, 25 October 2007
 | It has been suggested that this article be merged into Solid modeling. (Discuss) |
In constructive solid geometry, a Euler boolean operation is a series of modifications to solid modelling which preserves the Euler characteristic in the boundary representation at every stage. One or more of these Euler boolean operations is stored in a change state, so as to only represent models which are physically realizable.
Failing to maintain the Euler characteristic would result in geometric and topological entities often depicted by M. C. Escher. Esher's geometry artwork comes close to preserving the Euler characteristic (usually a problem with just the hole count).
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