| | Interesting ... but presumably one is allowed to "line up" the three objects before cutting, right?--[[User:Aschlafly|Andy Schlafly]] 23:29, 6 November 2009 (EST) | | Interesting ... but presumably one is allowed to "line up" the three objects before cutting, right?--[[User:Aschlafly|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. [[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) |