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Find a degree 
Magazine Problem 2
Prove that permutation composition is associative: \((f \circ g) \circ h=f \circ(g \circ h)\).
Problem 3
Determine the symmetry group and corner-symmetry group of an equilateral triangle.
Problem 6
Determine the symmetry group of a regular tetrahedron. (Hint: There are 12 symmetries.)
Problem 7
Determine the corner-symmetry group of a regular tetrahedron.
Problem 8
Determine the edge-symmetry group of a regular tetrahedron.
Problem 10
Determine the symmetry group and the corner-symmetry group of a rectangle that is not a square.
Problem 11
Compute the corner-symmetry group of a regular hexagon (the dihedral group \(D_{6}\) of order 12).
Problem 12
Determine all the permutations in the edge-symmetry group of a square.
Problem 14
By examining all possibilities, determine the number of nonequivalent colorings of the corners of an equilateral triangle with the colors red and blue. (Then do so with the colors red, white, and blue.)
Problem 15
By examining all possibilities, determine the number of nonequivalent colorings of the corners of a regular tetrahedron with the colors red and blue. (Then do so with the colors red, white, and blue.)
