Finding symmetries both geometrically and analytically. PLEASE HELP!!!by JohnMcBetty Tags: abstract, algebra, coordinate, pyramid, symmetry 

#1
Apr111, 02:32 PM

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. 



#2
Apr111, 04:31 PM

Mentor
P: 16,692

You can start by sketching the figure. Now, what symmetries can you see in the figure?




#3
Apr211, 10:25 AM

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).




#4
Apr211, 10:46 AM

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.




#5
Apr611, 09:17 AM

Sci Advisor
P: 906

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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