Timeline for Average caliper diameter (mean width) of a polyhedron
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 24, 2020 at 19:56 | comment | added | alesia | for a general body the sum of edge lengths weighted by angle is proportional to the integral over all affine hyperplanes of the Euler characteristic of the body intersected with the hyperplane. If the body is convex, this reduces to the mean width as those intersections are either empty of convex | |
| Aug 6, 2018 at 15:41 | comment | added | JDoe2 | hmm I see - thank you! Do you know how this might generalise to concave bodies/have any notion of what the equation I originally posted might represent for a concave body? | |
| Jul 20, 2018 at 13:43 | history | edited | Ivan Izmestiev | CC BY-SA 4.0 |
deleted 3 characters in body
|
| Jul 20, 2018 at 11:58 | history | answered | Ivan Izmestiev | CC BY-SA 4.0 |