# Finding symmetries both geometrically and analytically. PLEASE HELP!!!

by JohnMcBetty
Tags: abstract, algebra, coordinate, pyramid, symmetry
 P: 12 I have found this question and not sure where to begin in terms of solving it. PLEASE HELP!! Consider a double square pyramid . Introduce a coordinate P system so that the vertices of P are: A=(2,0,0) B=(0,2,0) C=(-2,0,0) D=(0,-2,0) E=(0,0,1) F=(0,0,-1) List the symmetries of P. Do this both geometrically and analytically.
 PF Patron Sci Advisor Thanks Emeritus P: 15,671 You can start by sketching the figure. Now, what symmetries can you see in the figure?
 P: 12 I tried drawing it out, but I just have a lot of trouble with 3D shapes. I have trouble drawing figures with 3 coordinates (x,y,z).
P: 12

## Finding symmetries both geometrically and analytically. PLEASE HELP!!!

I would assume there would some kind of rotation with cycle 3, being that it is a pyramid.
 Sci Advisor P: 905 normally, there would be. but the vertices at E and F being at (0,0,1) and (0,0,-1) preclude those symmetries.

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