Games with 3 or more shapes / patterns that could be made
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For this geeklist, a game must have more than 2 basic shapes that could be made (in some games, one shape may win the game). Please add to the list.

So far, this geeklist is manually arranged by year published. One exception is Le Super Morpion Tournant (the date published is not known, but I placed it after a game that uses a similar mechanism).
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1. Board Game: Go-Moku [Average Rating:5.96 Overall Rank:5279]
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(700) Played on a 15x15 board.

In 1942, Onino was published, along with "Onino Basic Plays," by Henmar Ruskin. In the book, it is pointed out that there are 11 basic formations that lead to a win: 4 "V" formations, 3 "X" formations, and 4 "T" formations. These formations present 2 ways to win, only one of which can be stopped. The basic formations are also printed on the 4 corners of the Onino game board.

Designer: Uncredited

 
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2. Board Game: Chek-ro [Average Rating:0.00 Unranked]
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(1957) Played on a 14x14 board. Get 5-in-a-row, or capture 10 of your opponent's pieces.

Designer: Uncredited
 
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3. Board Game: 5ive Straight [Average Rating:6.25 Overall Rank:5338]
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(1958) Played on a 10x10 board, with pegs and numbered cards. Object is to get 5 pegs in a row, similar to Go-Moku, but the cards restrict how pegs may be placed.

Designers: Jack Montgomery, Ellen Washburne, Norman Washburne
 
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4. Board Game: Stop Dot [Average Rating:0.00 Unranked]
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(1969) Get 5 different colors in a row, using a pool of 6 different colors. Played on the sides of a 3x3x2 board (the bottom 3x2 section is not used).

Designer: Uncredited
 
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5. Board Game: Orion [Average Rating:6.82 Overall Rank:8412]
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(1971) Seems as if this game (system) belongs on this list.

Designer: Uncredited
 
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6. Board Game: Counter Point [Average Rating:5.62 Unranked]
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(1971) Get 4 different colors in a line, in any sequence. The Entex Industries edition is named the Riot Act game, spelled with symbols.

Designer: Alex Randolph
 
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7. Board Game: Le Super Morpion Tournant [Average Rating:7.00 Unranked]
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Date published? -- Get 4 different colors in a row, on a 4x4x4 board, from a pool of 4 different colors.

Designer: Uncredited

Game name translates as The Great Turning Tic Tac Toe (since the center 4 posts may be turned 90 degrees clockwise to create a new alignment of the beads).
 
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8. Board Game: Amoeba [Average Rating:5.99 Overall Rank:11507]
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(1975) 52 cards, 52 different shapes. Also published as Tantalus.

Designer: W. Barrington Pink
 
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9. Board Game: Kugel Hupf [Average Rating:6.50 Unranked]
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(1977) Go-Moku on a hexagonal board? One of 4 formations would lead to a win: 2 "V" formations, 1 "X" formation, 1 "T" formation.

Ten games are referred to for this game system, 5-in-a-row is one goal.

Designer: Uncredited
 
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10. Board Game: Touché [Average Rating:5.43 Overall Rank:14151]
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(1979) Boxes, lines, crosses, tees.

Designer: Wayne Bobette
 
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11. Board Game: Icosagame [Average Rating:5.62 Unranked]
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(1980) Triangle, Zig-Zag Band, Pentagon (with middle rungs).

Designer: Frank Nichols
 
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12. Board Game: Interplay [Average Rating:6.43 Overall Rank:7888]
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(1980) Get 5 in a row, with one of 3 different patterns of pegs and barrels. Also published as: Challenge 5, Fiveplay, Penta, Sticks 'N' Barrels, TAKE 5.

Designer: Philip Shoptaugh
 
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13. Board Game: Smarts [Average Rating:4.00 Unranked]
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(1984) Get 2 sets of 5-in-a-row. The two rows don’t have to be on the board at the same time.

Designer: Uncredited
 
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14. Board Game: Megiddo [Average Rating:5.93 Overall Rank:11442]
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(1985) Get 6 in a row: radius, arc, or spiral. Players may also capture opponent's pieces.

Designer: S. Baldwin
 
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15. Board Game: Eye [Average Rating:4.14 Overall Rank:15015]
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(1987) This is a different perspective. The board which includes 2 discs can be rotated to make: long spirals, short spirals, straight lines, circles.

Designers: Billy Barry, Martin Colbourne, Kerry Kevill, Iris Lüttring
 
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16. Board Game: Quadromania [Average Rating:5.67 Unranked]
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(1987) Played on a 4x4 board, with 4 shapes, in 4 colors. Patterns: a 2x2 pattern ("QUAD") of 4 different colors; a line of 4 different colors; a line of 4 with the same color; a 2x2 pattern with the same color. One player plays shapes, and the other player plays colors.

Designer: G. A. Ellsbury
 
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17. Board Game: Pin Point [Average Rating:5.64 Unranked]
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(1993) Lines, squares, crosses.

Designer: Oliver Cockell
 
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18. Board Game: Two Player Brick by Brick [Average Rating:5.28 Overall Rank:13796]
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(1995) 60 patterns to build with 5 pieces. An additional 30 patterns to build with 10 pieces.

Designer: Uncredited

Also by ThinkFun (formerly Binary Arts):
(1998) Shape by Shape, 14 pieces, 60 patterns;
(1998) Block by Block, 7 pieces, 60 3D patterns;
(1999) Square by Square, 14 pieces, 60 patterns.

There must be a game in there, beyond the puzzle.
 
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19. Board Game: Groups [Average Rating:3.75 Unranked]
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(1998) Get your 6 game pieces in an orthogonally connected pattern. Played on an 8x8 board.

Designer: Richard Hutnik

Web published. Rules revised 2011.
 
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20. Board Game: Six [Average Rating:6.28 Overall Rank:3694]
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(2003) Triangle, hexagon, line: with 6 pieces.

Designer: Steffen Mühlhäuser
 
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21. Board Game: Rhumb Line [Average Rating:5.71 Overall Rank:12597]
Harvey Wasserman
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(2003) 4 in a radius = 10 points. 4 in an arc = 20 points. 4 in a spiral = 30 points.

Designer: Martin H. Samuel
 
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22. Board Game: DaVinci's Challenge [Average Rating:5.57 Overall Rank:12075] [Average Rating:5.57 Unranked]
Harvey Wasserman
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(2004)

Suggested by:
J Weintraub
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23. Board Game: DaVinci's Mancala [Average Rating:5.85 Overall Rank:11260]
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triangle, star, diamond, pyramid, and more. More points for more complex shapes. Same for DaVinci's Challenge
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24. Board Game: Triagonal [Average Rating:6.00 Unranked]
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(2006) Line of triangles, larger triangle with 9 triangle pieces, hexagon with 6 triangle pieces.

Designer: Dave Barnes
 
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25. Board Game: Papagra [Average Rating:6.25 Unranked]
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(2006) Pairs of patterns grappling (thus the name Papagra). Web published.

Designer: Nick Bentley
 
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