Question

3. Consider the rhombus (i.e. quadrilateral with equal sides but unequal angles) with vertices labeled as in the figure below, and let G be its symmetry group. 1 4 2 3 (a) List all the elements of G, expressed as permutations of the vertex set {1,2,3,4}. (b) Make a multiplication table for G.

          3. Consider the rhombus (i.e. quadrilateral with equal sides but unequal
angles) with vertices labeled as in the figure below, and let G be its
symmetry group.
1
4
2
3
(a) List all the elements of G, expressed as permutations of the vertex
set {1,2,3,4}.
(b) Make a multiplication table for G.

3. Consider the rhombus (i.e. quadrilateral with equal sides but unequal
angles) with vertices labeled as in the figure below, and let G be its
symmetry group.
1
4
2
3
(a) List all the elements of G, expressed as permutations of the vertex
set 1,2,3,4.
(b) Make a multiplication table for G.

Added by Scott V.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Consider the rhombus (i.e. quadrilateral with equal sides but unequal angles) with vertices labeled as in the figure below, and let G be its symmetry group. a) List all the elements of G, expressed as permutations of the vertex set {1,2,3,4}. b) Make a multiplication table for G.