- #1
MrBeezer
- 5
- 0
Hello,
I made this video with my iphone depicting the Symmetries of a Tetrahedron for a presentation I did recently:
I have been searching and trying to figure out if I have presented it correctly that a Tetrahedron has full S4 symmetry if we could reflect it in a "higher dimension."
I was basing this statement off of the fact that the rotational symmetry equilateral triangle is achieved through even permutations. However, the odd permutation suggest a reflection that requires the triangle to move through an additional dimension of space.
I am assuming we can say the same about a Tetrahedron where odd permutations can only be applied if we could move the shape through a higher spatial dimension. Is this stated correctly?
Thank you,
-Mike
I made this video with my iphone depicting the Symmetries of a Tetrahedron for a presentation I did recently:
I have been searching and trying to figure out if I have presented it correctly that a Tetrahedron has full S4 symmetry if we could reflect it in a "higher dimension."
I was basing this statement off of the fact that the rotational symmetry equilateral triangle is achieved through even permutations. However, the odd permutation suggest a reflection that requires the triangle to move through an additional dimension of space.
I am assuming we can say the same about a Tetrahedron where odd permutations can only be applied if we could move the shape through a higher spatial dimension. Is this stated correctly?
Thank you,
-Mike
Last edited by a moderator: