I have said something online and am now defending it to the death.
So YES.
( ,
Fri 28 May 2010, 12:37,
archived)
What? There are four of them, what the hell are you talking about dipshit?
( ,
Fri 28 May 2010, 12:32,
archived)
is it possible to place 3 points on a sphere such that they are all equidistant from each other on the spherical plane?
( ,
Fri 28 May 2010, 12:42,
archived)
Er, the arc you get from two points on a sphere is the same wherever on the sphere it is, yeah? As long as the points are the same distance apart.
So just take a normal equilateral triangle, bend all the lines into the same arc. The lines are still exactly the same length away from each other on the spherical plane as they were on flat plane.
( ,
Fri 28 May 2010, 13:11,
archived)
Or find a ball and put some dots on it.
And measure with some thread.
( ,
Fri 28 May 2010, 13:12,
archived)
That's just my logic, by the way. It may or not apply to reality.
( ,
Fri 28 May 2010, 13:18,
archived)
Imagine an equilateral triangle...
...wedged very tightly inside a globe (so that all the points touch the equator).
Now the distance between all three points around the outside of the globe is equal (it's a third of the equator each).
Is that the sort of thing you meant?
( ,
Fri 28 May 2010, 14:54,
archived)
Now the distance between all three points around the outside of the globe is equal (it's a third of the equator each).
Is that the sort of thing you meant?