The whole graph is called a square, which is composed of 4*4 = 16 cells. The cells are separated with white lines. There are 2 shapes in them. The top-left one is a color rectangle (including black one, invisible). The bottom-right one is a color triangle ( including black one, invisible). Color rectangles and triangles have 4 colors each (including black one, invisible). Each color occurs 4 times each, total 4*4 = 16 color rectangles and triangles. The combinations of color rectangles and triangles in cells are all distinct. Rectangles and triangles have 4 colors each, total 4*4 = 16 cells of distinct color combinations. Each square has a black cell, which is swapped with the other cells (Refer to the following explanation). The perpendicular 4 cells are called a column and the horizontal 4 cells a row.
Image 1 Square from the start | Image 2 Each of the 6 cells in the same column or row (marked white) can be swapped with the black cell | Image 3 Select one of the six cells in the left image (marked white) |
Image 4 Result after swap | Image 5 Each of the 6 cells in the same column or row (marked white) can be swapped with the black cell | Image 6 Select one of the six cells in the left image (marked white) |
Image 7 Result after swap | Image 8 Each of the 6 cells in the same column or row (marked white) can be swapped with the black cell | Image 9 Select one of the six cells in the left image (marked white) |
... | ||
Image 10 Result after swap | And so on |
Rule 1 Column-Row | |
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Image 1 Color rectangles in each column have distinct colors and in each row the same color. Color triangles in each column have the same color and in each row distinct colors. | Image 2 Color rectangles in each column have the same color and in each row distinct colors. Color triangles in each column are distinct colors and in each row the same color. |
Rule 2 Column/Row-Latin | |
Image 3 Color rectangles in each column have distinct colors and in each row the same color. Color triangles in each column have distinct colors and in each row distinct colors. | Image 4 Color rectangles in each column have the same color and in each row distinct colors. Color triangles in each column have distinct colors and in each row distinct colors. |
Image 5 Color rectangles in each column have distinct colors and in each row distinct colors. Color triangles in each column have the same color and in each row distinct colors. | Image 6 Color rectangles in each column have distinct colors and in each row distinct colors. Color triangles in each column have distinct colors and in each row the same color. |
Rule 3 Graeco-Latin | |
Image 7 Color rectangles in each column have distinct colors and in each row distinct colors. Color triangles in each column have distinct colors and in each row distinct colors. |
Features | tetta | N-Puzzle | Rubik's Cube | Sudoku | Tetris | Chess | Go | Contract Bridge | Poker |
---|---|---|---|---|---|---|---|---|---|
1. Complexity of rules | ** | * | * | ** | ** | *** | ** | ***** | *** |
2. Start | Random | Random | Certain permutations | Certain givens | Blank | Fixed positions | Blank | Random | Random |
3. End | Complete certain permutations | Complete only one permutation | Same colors of six faces | Fill out the square according to the rules | Stack to the top | Checkmate or stalemate | Fill out the board and decide the winner | Show up all cards and decide the winners | All players except one fold, or compare the hands to decide the winner |
4. Complexity of variance | The higher order the more complex | The higher order the more complex | The higher order the more complex | The higher order the more complex | ** | ***** | The higher order the more complex | **** | ** |
5. Chance | No | No | No | No | * | No | No | *** | ***** |
6. Players | 1+ | 1+ | 1+ | 1+ | 1+ | 2 | 2 | 4 | 2+ |
7. Relationship between players | Everyone competes with each other | Everyone competes with each other | Everyone competes with each other | Everyone competes with each other | Everyone competes with each other | Two players play against each other | Two players play against each other | Two sides (two players per side) play against each other | Everyone competes with each other |
8. Competition on calculation | The lower order the more suitable | The lower order the more suitable | Only order of 2 is suitable | Depends on the difficulty | * | Only | Only | Only | Only |
9. Competition on reaction | The higher order the more suitable | The higher order the more suitable | Order of 3 or above is suitable | Only order of 3*3 or 4*4 is suitable | *** | No | No | No | No |
10. Computer time | Maybe very much when AI is used | Maybe very much when AI is used | Maybe very much when AI is used | Maybe very much when AI is used | * | Maybe very much when AI is used | Maybe very much when AI is used | Maybe very much when AI is used | * |
11. Replay to learn | Yes | Yes | Yes | No | No | Yes | Yes | Yes | No |
12. Educational function | Coordinate geometry, combinatorics, algebra | Coordinate geometry, combinatorics, algebra | 3D coordinate geometry, combinatorics, algebra | Coordinate geometry, combinatorics | Coordinate geometry, combinatorics, algebra | Coordinate geometry, combinatorics, algebra, game theory | Coordinate geometry, combinatorics, algebra, game theory | Combinatorics, probability, game theory | Combinatorics, probability, game theory |
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A playful game has only one reason, while a boring game has hundreds.