STUDENTS 2006 PAGE

Observations & Questions

about

SYMMETRY & GROUPS

From the 2006 ReSEARCH Group

Questions/Conjectures from ReSEARCH Session 11:

Question: For the symmetries of the square, does the order of the rotations matter? (Aviva S.)

 

Questions/Conjectures from ReSEARCH Session 15:

Observation: All elements have inverses. (Jane L.)

Observation: Combining a symmetry with the identity doesn't give you a new symmetry. (Alicia C.)

Observation: Each row of the multiplication table for the symmetries we have looked at contains each of the symmetries exactly once. (Alicia C.)

Question: Can each symmetry (of a polyhedron) be written as a product, not using the identity symmetry, of two symmetries? (Jane L.)