Interactive Web Applications for Sets, Groups, and Mappings
Last Change: February 28, 2019
Chapter 7: Groups

Phosphene: A square
array of tiles that can be rotated individually or in groups to
create striking patterns.

Subgroups: Explore
subgroups of $(\mathbf{Z}_{m} \times \mathbf{Z}_{n}, +)$ that are
generated by selected elements.
Chapter 10: Multiplicative Inverses of Residue Classes

Pirouette: A
Spirograph clone for drawing and printing designs coming from
multiplication diagrams for cyclic groups.
Chapter 11: Linear Transformations
Chapter 13: Permutations

The Fifteen Puzzle:
Unscramble numbered tiles in a $4 \times 4$ array utilizing the
single empty square.
Chapter 14: Examples of Finite Groups
Chapter 15: Cosets

Cosets: Explore cosets in
the additive group $(\mathbf{Z}_{m} \times \mathbf{Z}_{n}, +)$.