4 ms·
Never seen this sort of thing before. Does this hold for an arbitrary radius? What if these were just lines in 3 space?
by laxatives 13y ago
Never seen this sort of thing before. Does this hold for an arbitrary radius? What if these were just lines in 3 space?
- acchow 13y agoIntuitively, it seems that radius/length ratio is what's important here.
- mythealias 13y agoYes, length to radius is important factor. Here's a discussion on 7 cylinders touching (using their end) ... http://www.ocf.berkeley.edu/~wwu/riddles/cigarettes.shtml http://www.ocf.berkeley.edu/~wwu/riddles/cigarettes.shtml
- pisarzp 13y agoNo, as this cylinders can be infinitely long if I'm not mistaken
- acchow 13y agoSure, there's no lower bound on the radius/length ratio. But there is an upper bound (think huge radius, short length).
- ColinWright 13y agoYes - currently the best result for coins is 5 mutually touching. Neither beaten, nor proven to be maximal.
- pisarzp 13y agoNo, as this cylinders can be infinitely long if I'm not mistaken
- deckar01 13y agoIf lines are considered cylinders, they would have a radius of zero and cannot touch without intersecting.
- ColinWright 13y agoArbitrary radius - just scale up and/or down as required.