Preface

pp v-viii

Contents

pp ix-xiv

I - Geometry

pp 1-2

1 - The Asymmetric Propeller

pp 3-6

2 - The Asymmetric Propeller Revisited

pp 7-10

3 - Bracing Regular Polygons As We Race into the Future

pp 11-18

4 - A Platonic Sextet for Strings

pp 19-24

5 - Prince Rupert's Rectangles

pp 25-34

II - Number Theory and Graph Theory

pp 35-36

6 - Transcendentals and Early Birds

pp 37-38

7 - Squaring, Cubing, and Cube Rooting

pp 39-44

8 - Carryless Arithmetic Mod 10

pp 45-52

9 - Mad Tea Party Cyclic Partitions

pp 53-64

10 - The Continuing Saga of Snarks

pp 65-72

11 - The Map-Coloring Game

pp 73-84

III - Flexagons and Catalan Numbers

pp 85-86

12 - It's Okay to Be Square If You're a Flexagon

pp 87-102

13 - The V-flex, Triangle Orientation, and Catalan Numbers in Hexaflexagons

pp 103-108

14 - From Hexaflexagons to Edge Flexagons to Point Flexagons

pp 109-112

15 - Flexagons Lead to a Catalan Number Identity

pp 113-118

16 - Convergence of a Catalan Series

pp 119-124

IV - Making Things Fit

pp 125-126

17 - L-Tromino Tiling of Mutilated Chessboards

pp 127-134

18 - Polyomino Dissections

pp 135-142

19 - Squaring the Plane

pp 143-152

20 - Magic Knight's Tours

pp 153-158

21 - Some New Results on Magic Hexagrams

pp 159-166

22 - Finding All Solutions to the Magic Hexagram

pp 167-172

23 - Triangular Numbers, Gaussian Integers, and KenKen

pp 173-178