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Terrain Hex Column Index Diagonal Index 3..5 0..1 1 has There are 5 Columns and 5 Diagonals. Hexes only appear on Column -2 Diagonals 0, 1, and 2 inclusive Column -1 Diagonals -1, 0, 1, and 2 inclusive Column 0 Diagonals -2, -1, 0, 1, and 2 inclusive Column 1 Diagonals -2, -1, 0, and 1 inclusive Column 2 Diagonals -2, -1, and 0 inclusive 1 Integer has Both the Column Index and Diagonal Index range in value from -2 to 2. Direction Hex a Hex b 0..1 Hex a has a Direction to Hex b AboveBelow 0..1 Upper Right Lower Right Upper Left Lower Left 3..5 Map Ore Hex 19 Brick Hex Wool Hex Lumber Hex Grain Hex Desert Hex partition There are 3 Ore Hexes, 4 Grain Hexes, 4 Lumber Hexes, 4 Wool Hexes, 3 Brick Hexes, and 1 Desert Hex. 1 Terrain Hex Number Token 0..1 1:21:2 Integer The number tokens are: 2, 3, 4, 5, 6, 8, 9, 10, 11, 12 Each of the number tokens appear on exactly 2 Terrain Hexes except for the 2 and 12 Number Tokens Which appear on exactly 1 Terrain Hex. Only the Desert Hex has no Number Token has A Terrain Hex a is Above a Terrain Hex b iff a.x = b.x and a.y = b.y-1 If A Terrain Hex a is Above Terrain Hex b then Terrain Hex b is Below Terrain Hex a A Terrain Hex a is to the Upper Right of Terrain Hex b iff a.x = b.x+1 and a.y = b.y-1 If A Terrain Hex a is to the Upper Right of Terrain Hex b then Terrain Hex b is to the Lower Left of Terrain Hex a A Terrain Hex a is to the Upper Left of Terrain Hex b iff a.x = b.x-1 and a.y = b.y If A Terrain Hex a is to the Upper Left of Terrain Hex b then Terrain Hex b is to the Lower Right of Terrain Hex a x y appears on

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Terrain Hex Border Hex a Hex b 0..1 Hex a shares a Border with Hex b Hex a shares a Border with Hex b if and only if Hex a has a Direction to Hex b. Note: See previous page for definition of “Hex a has a direction to Hex b”. Terrain Hex Direction 0..1 AboveBelow 1 Upper Right Upper Left Lower Left Lower Right Border A Terrain Hex has a Border in the indicated Direction 0..1 A Terrain Hex has a Border in each of the 6 Directions For every Border, b, there must exist a Terrain Hex a and Direction d such that Terrain Hex a has Border b in the Direction d Terrain Hex Ocean Border 0..1 Direction Terrain Hex has Ocean Border in indicated Direction 0..1 1 Border A Border is an Ocean Border, ob, iff for all Terrain Hex a and Terrain Hex b Terrain Hex a does not share Border ob with Terrain Hex b. Ocean Border Harbor has 0..11 Generic Harbor Ore Harbor Brick Harbor Wool Harbor Lumber Harbor Grain Harbor There are exactly 4 Generic Harbors. partition There is a Harbor on the Border below the Terrain Hex at Column 0 Diagonal 2 There is a Harbor on the Border to the Lower Right of the Terrain Hex at Column 1 Diagonal 1 There is a Harbor on the Border to the Lower Right of the Terrain Hex at Column 2 Diagonal 1 There is a Harbor on the Border to the Upper Right of the Terrain Hex at Column 2 Diagonal -2 There is a Harbor on the Border above the Terrain Hex at Column 1 Diagonal -2 There is a Harbor on the Border above the Terrain Hex at Column -1 Diagonal -1 There is a Harbor on the Border to the Upper Left of the Terrain Hex at Column -2 Diagonal 0 There is a Harbor on the Border to the Lower Left of the Terrain Hex at Column -2 Diagonal 1 There is a Harbor on the Border to the Lower Left of the Terrain Hex at Column -1 Diagonal 2

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ADDING INTEGERS 1. POS. + POS. = POS. 2. NEG. + NEG. = NEG. 3. POS. + NEG. OR NEG. + POS. SUBTRACT TAKE SIGN OF BIGGER ABSOLUTE VALUE.

ADDING INTEGERS 1. POS. + POS. = POS. 2. NEG. + NEG. = NEG. 3. POS. + NEG. OR NEG. + POS. SUBTRACT TAKE SIGN OF BIGGER ABSOLUTE VALUE.

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