The golden ratio quilts: 1. Fibonacci rabbits -- 2. The Fibonacci sequence ans Pascal's triangle -- 3. The Fibonacci sequence and polygonal numbers -- 6. Kepler's Fibonacci relationships -- 9. The golden rectangle and the golden ratio -- 13. Golden triangles and logarithmic spirals -- 15. Pentagons and the law of sines -- 16. Graphing calculator explorations -- 17. Internet explorations -- The spiral quilts: 1. Exploring the wheel of Theodorus -- 5. Polygons and spiraling squares -- 7. Logarithmic spirals -- The right triangle quilts: 1. Bhāskara's proof -- Pythagoras meets Fibonacci -- The tiling quilts: 1. Tessellating the plane with triangles and quadrilaterals -- 2. Polyomino families -- 3. Tetromino puzzles -- 4. Penrose tiles vertex nets -- 6. Life on the Poincaré plane -- 7. Escher-like tessellations