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Play with math! Make math fun for your child by playing games, solving puzzles and learning about shapes. 

Table of Contents

  1. Introduction
  2. How to Use This Book
  3. 1 Geometry: Learn About Shapes: Prisms and pyramids and Platonic solids, oh my!
    1. Lab 1: Prisms
    2. Lab 2: Pyramids
    3. Lab 3: Antiprisms
    4. Lab 4: Platonic Solids
    5. Lab 5: Perfect Circles
    6. Lab 6: Try a Triangle
    7. Lab 7: Exact Ellipses
    8. Lab 8: Draw Giant Circles and Ellipses
  4. 2 Topology: Mind-Bending Shapes: Learn about squeezable, squishable shapes and surfaces
    1. Lab 9: Compare and Classify Shapes
    2. Lab 10: Möbius Strips
    3. Lab 11: Möbius Surprise
  5. 3 Color Maps Like a Mathematician: Using the fewest number of colors possible, fill in a map so adjacent shapes are different
    1. Lab 12: Map Coloring Basics
    2. Lab 13: Efficient Map Coloring
    3. Lab 14: Squiggle Maps
  6. 4 Stitching Curves: Learn to create curves using only straight lines
    1. Lab 15: Drawing Parabolas
    2. Lab 16: Stitching Stars
    3. Lab 17: Creative Curves
  7. 5 Fantastic Fractals: A fractal is a shape that is similar to itself no matter how far you zoom in on one particular part
    1. Lab 18: Draw a Sierpinski Triangle
    2. Lab 19: Build a Sierpinski Triangle
    3. Lab 20: Draw a Koch Snowflake
    4. Lab 21: Draw a Square Fractal Snowflake
    5. Lab 22: Explore the Koch Snowflake’s Perimeter
  8. 6 Terrific Tangrams: Solve ancient Chinese puzzles by making different shapes from the same seven pieces
    1. Lab 23: Tangram Basics
    2. Lab 24: Teaser Tangrams
    3. Lab 25: Tougher Tangrams
  9. 7 Toothpick Puzzles: Create and solve brainteasers using patterns of toothpicks
    1. Lab 26: Starter Toothpick Puzzles
    2. Lab 27: Toothpick Puzzles: The Next Level
    3. Lab 28: Challenging Toothpick Puzzles
  10. 8 The Game of Nim: Learn the game of Nim and develop a strategy to win every time
    1. Lab 29: Learn to Play Nim
    2. Lab 30: Win Nim: The Copycat Strategy
    3. Lab 31: Copycat Nim as Player 1
    4. Lab 32: Win Nim: 1 + 2 = 3 Strategy
  11. 9 Graph Theory: Explore how points and edges are interconnected
    1. Lab 33: Eulerian Circuits
    2. Lab 34: Secrets of Eulerian Circuits Revealed
    3. Lab 35: Bridges of Königsberg
    4. Lab 36: The Euler Characteristic
    5. Lab 37: A Proof About the Euler Characteristic
  12. Pull-Outs
  13. Hints and Solutions
  14. Acknowledgments
  15. About the Authors
  16. Resources
  17. Index
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