problem
Groups of sets
Age
16 to 18
Challenge level
The binary operation * for combining sets is defined as the union
of two sets minus their intersection. Prove the set of all subsets
of a set S together with the binary operation * forms a group.
problem
Rose
Age
16 to 18
Challenge level
What groups of transformations map a regular pentagon to itself?
problem
Poison, antidote, water
Age
14 to 18
Challenge level
Play the game of Poison, Antidote, Water to start to understand the mathematics of associativity and groups.