Question

quick question
whats the geometry for 4 points on a sphere satisfying below :
1) all 4 points are on surface of sphere, at equal distance from center.
2) each adjacent point is separated by equal distance and its the maximum possible separation

Answer 1

Equal distance measured on the surface of the sphere or in 3D space (shouldn't really matter, but curious)?

Answer 2

yea trying to visualize VSEPR.... .

Answer 3

for a molecule wid 4 bonds

Answer 4

idk if ive put the constraints properly... , but u get hte idea... hmm

Answer 5

That what you're talking about?

Answer 6

yes so its always a solid shape

Answer 7

we cannot have some plane figure is it

Answer 8

Yes, it is a polyhedron with 4 equilateral faces.

Answer 9

If there were only 3 points, then they would be coplanar.

Answer 10

if only 3 bonds then it can be plane shape, and wont form a good lattice