This is an old revision of this page, as edited by 202.57.82.210 (talk) at 06:29, 26 September 2005 (change an to a). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
Revision as of 06:29, 26 September 2005 by 202.57.82.210 (talk) (change an to a)(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)In constructive solid geometry, a Euler boolean operation is a series of modifications to solid modelling which perserves 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 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 perserving the Euler characteristic (usually a problem with just the hole count).
Category: