Timeline for Iterated function system on the plane
Current License: CC BY-SA 3.0
3 events
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Jul 10, 2013 at 15:49 | comment | added | john mangual | OK. When you rescale, the factor shrinks by $r^2$ so for 3 disjoint copies to fit in the original, $r_1^2 + r_2^2 + r_3^2 \leq 1$. | |
Jul 10, 2013 at 12:25 | comment | added | Emil Jeřábek | You need the images not to intersect, and all of them to fit in the original open set. The condition $r_1^2+r_2^2+r_3^2\le1$ is clearly necessary as long as $O$ has finite Lebesgue measure. | |
Jul 10, 2013 at 12:20 | history | answered | john mangual | CC BY-SA 3.0 |