Difference between revisions of "Talk:Ham Sandwich Theorem"
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:Nope. '''Any''' shapes, '''any''' locations (as long as they don't overlap). You can find a plane through the Milky Way, the Andromeda Galaxy, and 3C273. Or think of it this way: a plane can be specified by three numbers (or "degrees of freedom"). That is, ax + by + cz specifies a plane for numbers a, b, and c. You have three constraints: it has to bisect each of the objects. So it works. [[User:PatrickD|PatrickD]] 23:40, 9 November 2009 (EST) | :Nope. '''Any''' shapes, '''any''' locations (as long as they don't overlap). You can find a plane through the Milky Way, the Andromeda Galaxy, and 3C273. Or think of it this way: a plane can be specified by three numbers (or "degrees of freedom"). That is, ax + by + cz specifies a plane for numbers a, b, and c. You have three constraints: it has to bisect each of the objects. So it works. [[User:PatrickD|PatrickD]] 23:40, 9 November 2009 (EST) | ||
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| + | :: Wow, that is an amazing result. I was going to suggest 1st, 2nd, and 3rd bases as a counterexample, but it's clear that a plane parallel to the field bisects them. Raise 2nd base, and one simply rotates the plane, I suppose.--[[User:Aschlafly|Andy Schlafly]] 23:52, 9 November 2009 (EST) | ||
Revision as of 04:52, November 10, 2009
Interesting ... but presumably one is allowed to "line up" the three objects before cutting, right?--Andy Schlafly 23:29, 6 November 2009 (EST)
- Nope. Any shapes, any locations (as long as they don't overlap). You can find a plane through the Milky Way, the Andromeda Galaxy, and 3C273. Or think of it this way: a plane can be specified by three numbers (or "degrees of freedom"). That is, ax + by + cz specifies a plane for numbers a, b, and c. You have three constraints: it has to bisect each of the objects. So it works. PatrickD 23:40, 9 November 2009 (EST)
- Wow, that is an amazing result. I was going to suggest 1st, 2nd, and 3rd bases as a counterexample, but it's clear that a plane parallel to the field bisects them. Raise 2nd base, and one simply rotates the plane, I suppose.--Andy Schlafly 23:52, 9 November 2009 (EST)