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A Two-dimensional Playground
by Evelyn Lamb

Section 1: Playing Games in Two Dimensions

1.1    The Game of Hex
1.2    Ticktacktoe Old and New
1.3    Even More Ticktacktoe
1.4    The Game of Life
1.5    Another Look at Life

Section 2: Filling the Plane

2.1    Two-dimensional Rep-tiles
2.2    What Shapes Tile the Plane?
2.3    Tiling the Plane with Polyominoes
2.4    Penrose Tiles
2.5    Square Packing

Section 3: Dissecting Shapes

3.1    Dudney’s Dissections
3.2    Squaring the Square
3.3    Equal Dissections

Section 4: Imagining Two-dimensional Worlds

4.1    Meditations on Flatland
4.2    The Physics of the Planiverse
4.3    Taking a Taxi to Non-Euclidean Geometry
4.4    Euclid’s Parallel Postulate and its Modern Offspring

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