Farmer Giles has four sheep. One day, he notices that they are standing in such a way that they are all the
same distance away from each other. That is to say, the distance between any two of the four sheep is the
same. How can this be so?
Without going into the third dimension I don't see how this is possible.
For two sheep you could just have them x distance apart.
The only way I see 3 sheep being arranged in that way is in the shape of an equilateral triangle, where all the sides are x.
Where could the other sheep go so that it is an equal distance from all the other sheep without hovering x amount above the center of the triangle?
Without going into the third dimension I don't see how this is possible.
For two sheep you could just have them x distance apart.
The only way I see 3 sheep being arranged in that way is in the shape of an equilateral triangle, where all the sides are x.
Where could the other sheep go so that it is an equal distance from all the other sheep without hovering x amount above the center of the triangle?