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Hi, noob looking for help symmetry

Hi, just joined the forum. I'm having problems trying to find all twelve of the symmetries for a triangular prism

simples.JPG



The triangles are equilateral and the rectangles are identical to each other.

I have found 6 rotational and 4 reflective but I have spent nearly all day trying to find the other two but have had no joy.

Can anyone guide me through this please?
Reply 1
Avatar for Mark13
Mark13
Original post by jojo55
Hi, just joined the forum. I'm having problems trying to find all twelve of the symmetries for a triangular prism

simples.JPG



The triangles are equilateral and the rectangles are identical to each other.

I have found 6 rotational and 4 reflective but I have spent nearly all day trying to find the other two but have had no joy.

Can anyone guide me through this please?


If you've found six rotational symmetries and a reflective symmetry, then the remaining symmetries of the object will be given by doing the reflective symmetry followed by one of the rotations.
Reply 2
Avatar for Nathan0012
Nathan0012
2
Two lines at 90 degrees to each other on each rectangle side (cutting in towards the point of the triangle), and three lines per triangle side (cutting in to the other triangle side). That makes 2*3 + 3*2 = 12 lines of symmetry.
Reply 3
Avatar for jojo55
jojo55
OP
11
Original post by Mark13
If you've found six rotational symmetries and a reflective symmetry, then the remaining symmetries of the object will be given by doing the reflective symmetry followed by one of the rotations.



Thanks for the quick responses. I understand it now :smile:
Reply 4
Avatar for davros
davros
16
Original post by jojo55
Thanks for the quick responses. I understand it now :smile:


Are you doing the same course as this person:

http://www.thestudentroom.co.uk/showthread.php?t=2300544


:smile:
Reply 5
Avatar for jojo55
jojo55
OP
11
Original post by davros


Are you doing the same course as this person:

http://www.thestudentroom.co.uk/showthread.php?t=2300544


:smile:


No, I only needed to find out the symmetries, not even sure what a conjugacy class is.

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