Featured Article Quiz #9
Affine symmetric group
#1 What do affine symmetric groups describe?
Symmetries of the number line and the triangular tiling
Symmetries of the square and the rectangular tiling
Symmetries of the circle and the hexagonal tiling
#2 How can the affine symmetric group be defined?
Using algebraic equations and variables
Using geometric and combinatorial models
Using geometric shapes and numerical functions
#3 What is the affine symmetric group represented as in the Euclidean space?
Collection of rotations around hyperplanes
Collection of translations along hyperplanes
Collection of reflections across hyperplanes