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# Any three points on a 2d plane make a triangle.
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 12:31, archived)
# what if they're all in a line?
(I helped save b3ta! Mighty Nibus who dares gins | @nibus, Fri 28 May 2010, 12:31, archived)
# Then it's a very pointy triangle.
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 12:33, archived)
# So, any three points on a 1d line make a triangle.
(_Felix 's school of dance and occult sciences, Fri 28 May 2010, 12:34, archived)
# I have said something online and am now defending it to the death.
So YES.
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 12:37, archived)
# What? There are four of them, what the hell are you talking about dipshit?
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 12:32, archived)
# ONLY THREE ARE BODY SITES BUMEYES!
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 12:33, archived)
# is it possible to place 3 points on a sphere such that they are all equidistant from each other on the spherical plane?
(I helped save b3ta! Griffin Saver Something, something, 2006, something., Fri 28 May 2010, 12:42, archived)
# Yes.
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 12:43, archived)
# how?
show me - cos thinking about this give me a brainhurt
(I helped save b3ta! Griffin Saver Something, something, 2006, something., Fri 28 May 2010, 13:03, archived)
# find a ball and put some dots on it
(I helped save b3ta! Mighty Nibus who dares gins | @nibus, Fri 28 May 2010, 13:08, 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.
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 13:11, archived)
# Or find a ball and put some dots on it.
And measure with some thread.
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 13:12, archived)
# That's just my logic, by the way. It may or not apply to reality.
(I helped save b3ta! Mu Dinofiddler, Fri 28 May 2010, 13:18, archived)
# my brain hurtses!
(I helped save b3ta! Griffin Saver Something, something, 2006, something., Fri 28 May 2010, 13:44, 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?
(I helped save b3ta! superstoater is so mauve, you don't know what he's planning, Fri 28 May 2010, 14:54, archived)