Timeline for What polygons can be shrunk into themselves?
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
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| Jul 23, 2015 at 16:45 | answer | added | Stewart Hinsley | timeline score: 0 | |
| Apr 23, 2015 at 6:22 | history | edited | Erel Segal-Halevi | CC BY-SA 3.0 |
Restore deleted proof
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| S Mar 31, 2015 at 10:22 | history | suggested | Yaakov Baruch | CC BY-SA 3.0 |
Changed "shrinked" to "shrunk".
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| Mar 31, 2015 at 10:06 | review | Suggested edits | |||
| S Mar 31, 2015 at 10:22 | |||||
| Oct 7, 2014 at 13:46 | answer | added | Beni Bogosel | timeline score: 1 | |
| Oct 7, 2014 at 10:20 | answer | added | Włodzimierz Holsztyński | timeline score: 8 | |
| S Oct 7, 2014 at 4:34 | history | edited | Włodzimierz Holsztyński | CC BY-SA 3.0 |
1. a generalization; 2. too easy proof removed (and just a detail added).
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| Oct 7, 2014 at 4:25 | review | Suggested edits | |||
| S Oct 7, 2014 at 4:34 | |||||
| Oct 2, 2014 at 12:03 | comment | added | Joseph O'Rourke | Tangentially related: "Shrink polygon to a specific area by offsetting." | |
| Oct 2, 2014 at 11:51 | vote | accept | Erel Segal-Halevi | ||
| Oct 2, 2014 at 8:46 | answer | added | Gabriel C. Drummond-Cole | timeline score: 27 | |
| Oct 2, 2014 at 8:20 | comment | added | Erel Segal-Halevi | @PerAlexandersson I don't have such an example. I believe that being star-shaped is necessary, but I don't have a proof. | |
| Oct 2, 2014 at 8:17 | comment | added | Erel Segal-Halevi | @PerAlexandersson You are right, I didn't consider rotations. I believe that allowing rotations will not make much difference. | |
| Oct 2, 2014 at 8:16 | comment | added | Per Alexandersson | Do you have an example of a polygon which is not star-shaped, but is still shrinkable? Furthermore, it might be interested to consider "continuous shrinkable" defined as follow: Mark any point in the polytope. As the size decreases, we can "move" the shrinked polygon s.t. the marked point follows a continuous path. Your star-polytopes have this property (choosing A to be the marked point). Question is, are there shrinkable polytopes which are not continouous shrinkable? | |
| Oct 2, 2014 at 8:14 | comment | added | Per Alexandersson | Rotations are not allowed, I suppose, since this is not mentioned? | |
| Oct 2, 2014 at 8:05 | comment | added | Erel Segal-Halevi | By "translate" I mean just move. I.e., you are given a down-scaled version of the polygon, and you are only allowed to move it around, but you are not allowed to shrink it further. | |
| Oct 2, 2014 at 8:02 | comment | added | djechlin | What do you mean by translate? The U shape can certainly be shrunk into itself by making it tiny in a corner, but it has to cross its own boundaries to do so. | |
| Oct 2, 2014 at 7:49 | history | asked | Erel Segal-Halevi | CC BY-SA 3.0 |