Timeline for Can every $\mathbb{Z}^2$ disk be pinball-reached?
Current License: CC BY-SA 3.0
9 events
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| Apr 28, 2013 at 14:06 | history | edited | Cristi Stoica | CC BY-SA 3.0 |
Updated due to counterexamples for r close to 0.5.
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| Apr 28, 2013 at 0:22 | comment | added | Joseph O'Rourke | I've added an illustration of near-$\frac{1}{2}$ radii (in another "answer"). | |
| Apr 27, 2013 at 22:51 | comment | added | Douglas Zare | That's a nice picture, but it relies on the radius not being too close to $1/2$. Roughly radius is needed for that picture to work? | |
| Apr 27, 2013 at 19:12 | history | edited | Cristi Stoica | CC BY-SA 3.0 |
Better drawing
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| Apr 27, 2013 at 18:41 | comment | added | Joseph O'Rourke | :-) $\mbox{} \mbox{}$ | |
| Apr 27, 2013 at 18:06 | history | edited | Cristi Stoica | CC BY-SA 3.0 |
Added picture
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| Apr 27, 2013 at 17:19 | comment | added | Cristi Stoica | @Joseph O'Rourke: The rope goes through the ring, so it can't detach. At least in the solution I pictured, which connects $(0,0)$ with any $(m,n)$. | |
| Apr 27, 2013 at 15:40 | comment | added | Joseph O'Rourke | Nice analogy: a taut rope through rings! But wouldn't the rope detach from rings when pulled taut, and wrap around some tangentially...? | |
| Apr 27, 2013 at 15:03 | history | answered | Cristi Stoica | CC BY-SA 3.0 |