Timeline for Herringbone partitions of regions and surfaces
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
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| S Jul 29, 2017 at 4:42 | history | suggested | Martin Sleziak |
removed deprecated (geometry) tag - see the tag info: http://mathoverflow.net/tags/geometry/info; if there are some other geometry-related tags which are suitable, please use some of them instead
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| Jul 29, 2017 at 4:19 | review | Suggested edits | |||
| S Jul 29, 2017 at 4:42 | |||||
| Jul 28, 2017 at 23:41 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Image links broken; now fixed.
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| Oct 1, 2012 at 11:25 | comment | added | Joseph O'Rourke | @Will: You are right! I didn't think through surfaces carefully. One could take a simple, closed geodesic and its parallels. | |
| Oct 1, 2012 at 6:49 | answer | added | Cristi Stoica | timeline score: 1 | |
| Oct 1, 2012 at 4:31 | comment | added | Will Sawin | Isn't this question trivial for regions like the sphere which have no boundary? | |
| Oct 1, 2012 at 4:16 | answer | added | Will Sawin | timeline score: 1 | |
| Oct 1, 2012 at 3:44 | answer | added | Sergei Ivanov | timeline score: 4 | |
| Sep 30, 2012 at 23:39 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
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| Sep 30, 2012 at 22:04 | comment | added | Cristi Stoica | You can merge two opposite quarters of the circle only by using zig-zags as in i.imgur.com/Z4yri.gif . This suggests the following fun but unhelpful trick. Any planar region as described can be approximated as good as we want by a region which can be covered by only one herringbone region. The approximation will be bounded by a curve made only of horizontal and vertical lines (i.imgur.com/GxJKw.gif) | |
| Sep 30, 2012 at 14:03 | comment | added | Joseph O'Rourke | @Sergei: I should have specified the regions should be connected. Convex would also be interesting. Clever to connect opposite quarters! | |
| Sep 30, 2012 at 11:28 | comment | added | Sergei Ivanov | Should regions be connected? Convex? If not, you can merge two opposite quarters of the circle into one region. | |
| Sep 29, 2012 at 23:16 | comment | added | Joseph O'Rourke | @unknown: Good question! It is not so clear, is it? ... Let me tentatively stipulate: a geodesic and its parallels (which might not themselves be geodesics). Each "parallel" has a fixed distance separation from the generating geodesic. | |
| Sep 29, 2012 at 23:13 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
added 5 characters in body
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| Sep 29, 2012 at 23:06 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
added 41 characters in body; added 9 characters in body
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| Sep 29, 2012 at 22:56 | comment | added | John Pardon | I understand the question for flat surfaces, but what do you mean by parallel lines on the surface of a sphere or a more complicated curved surface? | |
| Sep 29, 2012 at 22:22 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
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| Sep 29, 2012 at 22:05 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |
