Misplaced Pages

Euler boolean operation: Difference between revisions

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
Browse history interactively← Previous editNext edit →Content deleted Content addedVisualWikitext
Revision as of 19:27, 6 March 2006 editCharles Matthews (talk | contribs)Autopatrolled, Administrators360,274 editsm typo← Previous edit Revision as of 13:10, 13 March 2007 edit undoSectryan (talk | contribs)Extended confirmed users2,328 editsm sp fixNext edit →
Line 1: Line 1:
In ], a '''Euler boolean operation''' is a series of modifications to ] which perserves 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.


Failing to maintain the ] would result in geometric and topological entities often depicted by ]. Esher's geometry artwork comes close to preserving the Euler characteristic (usually a problem with just the hole count). Failing to maintain the ] would result in geometric and topological entities often depicted by ]. Esher's geometry artwork comes close to preserving the Euler characteristic (usually a problem with just the hole count).

Revision as of 13:10, 13 March 2007

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).

Category: