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A Question about Combinatorica


Dear Sir

I have a question about  permutations of 5 points in 3D space .

These 5 points are on the surface of a sphere of radius =1.

These points are:
 { {0., 0., 1.},  {0.181636, 0.559017, 0.809017},  {-0.769421,
0.559017, 0.309017}, {-0.769421, -0.559017, -0.309017}, {0.181636,
-0.559017, -0.809017} }

My question:

What are all possible permutations for these 5 points ?

What are the permutations after delete similarities?


I need your reply

Thanks

Marwa Ali



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