Table of Contents

Basic properties of the golden ratio; geometric problems in two dimensions; geometric problems in three dimensions; Fibonacci numbers; Lucas numbers and generalized Fibonacci numbers; continued fractions and rational approximants; generalized Fibonacci representation theorems; optimal spacing and search algorithms; commensurate and incommensurate projections; Penrose tilings; quasicrystallography; biological applications; construction of the regular pentagon; the first 100 Fibonacci and Lucas numbers; relationships involving Fibonacci and Lucas numbers.