Timeline for Pinball on the infinite plane
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 23, 2012 at 23:03 | comment | added | Anton Petrunin | @Aaron: The bounded orbit should not be periodic. You may take two periodic orbits say A and B which are close to each other at some part and produce a nonperiodic orbit say which goes 7 times around A switches and goes 19 times around B then switches back and goes 27 times around A and so on. | |
| Feb 23, 2012 at 18:44 | comment | added | Aaron Meyerowitz | That is how I saw it. For some reason the second point of view makes it easier to imagine asymptotic trajectories. | |
| Feb 23, 2012 at 18:39 | comment | added | Joseph O'Rourke | @Aaron: Just on your side question: The two circumstances are equivalent: shrink the ball, grow the pins correspondingly. Here is one way to see it. Consider the situation as I described it, and focus on when the ball just contacts a pin. Pick up the disk and center it on the pin. Now think of the pin as this disk, and what used to be the center of the ball as a point particle. One obtains the same reflection. | |
| Feb 23, 2012 at 18:19 | history | answered | Aaron Meyerowitz | CC BY-SA 3.0 |