Representations 
of the Solution

Numeric -- exhibit period k attracting cycle by iteration
Algebraic -- solve for period k points
Geometric -- cobweb diagram & bifurcation diagram
Verbal -- sink, source, bifurcation, attracting, repelling
Sound -- represent bifurcation diagrams using sound

1. Cycles as sound waves
2. Members of cycle as pitches (FM)
3. Period of cycle as frequency of pure tone
4. Members of cycle as amplitude (AM)