Timeline for A one dimensional fractal like set with the same line width within a bounded area?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 22, 2016 at 12:09 | comment | added | Per Alexandersson | It is clear from the construction that the limit set will not contain an interval. | |
| Aug 22, 2016 at 6:32 | comment | added | Tal Galili | Dear @PerAlexandersson - thank you for the answer. I like your construction, is there a way to prove (or reference) that this is a cantor set? | |
| Aug 22, 2016 at 6:31 | vote | accept | Tal Galili | ||
| Aug 22, 2016 at 0:25 | history | edited | Per Alexandersson | CC BY-SA 3.0 |
added 158 characters in body
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| Aug 22, 2016 at 0:17 | history | edited | Per Alexandersson | CC BY-SA 3.0 |
added 146 characters in body
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| Aug 22, 2016 at 0:12 | comment | added | Per Alexandersson | @GeraldEdgar: I was thinking you recursively perform the same operation on each individual line segment. In every step, the number of segments doubles, but they are only half as long. | |
| Aug 21, 2016 at 23:00 | comment | added | Gerald Edgar | Interval $(0,1/4)$ remains at every stage? This is not a Cantor set. | |
| Aug 21, 2016 at 21:07 | comment | added | Tal Galili | I created a picture of the set. Is there a reference I can use? (I'm not sure why I should call it a cantor-set) | |
| Aug 21, 2016 at 20:54 | history | answered | Per Alexandersson | CC BY-SA 3.0 |