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Thanks for the proof
I re-read the question. So all five come from one point. proving impossibility has suddenly got easier.
I'm working on whether the picture is a possible solution or not. ie. Can this exist?
One more thing I must say,
Conjecture: In a plane(or a 2D space), you cannot have more than two rays from a point such that all the angles so formed are equal. Similarly, in a 3D space you cannot have more than four rays with such a property
That depends on what you say.
I assumed that these rays are in 3D space with every ray at the same angle to the other 4.
Hi Rajnikanth, Hope you have seen a lot of Tamil Films. Are the angles on the same plane? Or did you mean any adjacent?
Then it seems it is not possible... I might be wrong though...
It would be 72° if all the rays were in the same plane. Judging from the word "challenging" in the thread title, I'd assume the OP wanted the rays to be spread out in 3D space.