What are the 48 symmetries of a cube?
can i have them in a list please
ie. 1,2,3,4,5,6,7,8
2,3,4,5,6,7,8,1 etc
Answers:
hectic question, this ain't maths homework is it?
A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a total of 48 symmetries including transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the dual of an octahedron.
The group of orientation-preserving symmetries is S4, or the group of permutations of four objects, since there is exactly one such symmetry for each permutation of the four pairs of opposite sides of the octehedron.
loads more info. on the link below.
1 2 3 4 6 8 9 12 16 24 64 etc, all multiples of three and four, you work it out or pay the spotty kid to do your homework for you!
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Why oh why.?
ie. 1,2,3,4,5,6,7,8
2,3,4,5,6,7,8,1 etc
Answers:
hectic question, this ain't maths homework is it?
A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a total of 48 symmetries including transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the dual of an octahedron.
The group of orientation-preserving symmetries is S4, or the group of permutations of four objects, since there is exactly one such symmetry for each permutation of the four pairs of opposite sides of the octehedron.
loads more info. on the link below.
1 2 3 4 6 8 9 12 16 24 64 etc, all multiples of three and four, you work it out or pay the spotty kid to do your homework for you!
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