Games played on an N × N+1 grid
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It's a little-known fact that the 19×19 Go board is not square, but rectangular: the grid is slightly elongated along the axis between the players so that it will appear square when viewed from each player's foreshortened perspective.

However, in this GeekList I'm looking for games in which the actual grid size is one off from being square.
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76. Board Game: Ganoven Jagd [Average Rating:5.64 Unranked]
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77. Board Game: L'Attaque [Average Rating:5.74 Overall Rank:8229]
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78. Board Game: Connections [Average Rating:5.69 Overall Rank:8054]
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79. Board Game: Jati [Average Rating:5.43 Unranked]
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80. Board Game: Submarine [Average Rating:5.69 Overall Rank:6239]
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81. Board Game: Turnabout [Average Rating:5.00 Unranked]
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7x8 if I counted right...
 
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82. Board Game: Kazink [Average Rating:5.55 Overall Rank:8523]
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83. Board Game: Input [Average Rating:5.56 Overall Rank:8465]
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84. Board Game: Smess: The Ninny's Chess [Average Rating:5.51 Overall Rank:8956]
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85. Board Game: Yoté [Average Rating:5.36 Unranked]
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86. Board Game: Snowblind [Average Rating:5.50 Unranked]
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87. Board Game: Twenty One Turn Hero Minigame [Average Rating:5.42 Unranked]
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88. Board Game: Putwoody's Castle [Average Rating:5.35 Unranked]
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89. Board Game: September [Average Rating:5.26 Unranked]
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90. Board Game: Mini Archimedes [Average Rating:5.33 Unranked]
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6x7 grid
 
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91. Board Game: Connect 4 Flip [Average Rating:5.50 Unranked]
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92. Board Game: Balanx [Average Rating:5.29 Overall Rank:9750]
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Geeklist of geeklists with various grids
 
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93. Board Game: Simplexity [Average Rating:5.72 Unranked]
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6 "beads" on column, and 7 columns. Score shapes or color as opposed to Connect 4 which is just color.
 
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94. Board Game: Concentration [Average Rating:5.08 Overall Rank:10235]
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95. Board Game: Squares [Average Rating:5.02 Unranked]
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96. Board Game: BRIDG-IT [Average Rating:5.01 Overall Rank:9375]
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97. Board Game: Le Caméléon [Average Rating:5.00 Unranked]
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98. Board Game: Schlotterknie Company [Average Rating:5.00 Unranked]
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99. Board Game: RAEj [Average Rating:5.00 Unranked]
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9 x 10 square board
 
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100. Board Game: Billiards [Average Rating:5.00 Unranked]
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