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Jul 27, 2010 at 7:35 vote accept Per Vognsen
Jul 27, 2010 at 7:34 comment added Per Vognsen That sounds good. In my comment to Pete, I briefly outlined something similar. To put what you said in those terms, it's measuring the differential contributions to the volume distortion from the various facets of the volume element: in the R^3 case, solids, faces, edges and vertices, in that order. The alternating signs come from inclusion-exclusion counting of overlapping contributions.
Jul 27, 2010 at 7:27 history edited Ryan Budney CC BY-SA 2.5
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Jul 27, 2010 at 7:21 history answered Ryan Budney CC BY-SA 2.5