6515 S '11
Project 1
Project 2
Project 3
Project 4
Project 5
Project 6
Project 7
Project 8
Project 9
Project 10
Project 11
Project 12
Project 13


The Game:

Ingenious is a recent, award-winning board game.

Game Pieces: The game accommodates between two and six players. It uses a hexagonal board that consists of hexagonal fields and a few dozen tiles that combine two colored hexagons. There are six colors: blue, orange, yellow, purple, red, and green. Here is a mock-up of a board for three players and a couple of tiles:

ingenious board for 3   ingenious tile   ingenious tile

Playing Ingenious: Each player receives six tiles. The game then starts with the youngest player and proceeds clockwise from there. For each turn, a player places one of the tiles on the board and determines the score per color on the tile. For example, this board image

intermediate ingenious board
displays the state of the board after four turns.

In return, the player receives another tile so that there are always six tiles in his possession during the game -- until there are no more tiles left.

The points accumulate over the course of the game. If due to the placement of a tile a player's score for some color crosses the 18-point mark, the player may place another tile after pulling a random tile from the central pile.

When all the tiles have been distributed to the players or when the board does not accommodate any more tiles, the game is over. The player with the lowest score for any of his six colors loses. If two players have the same low score, the next lowest score decides their ranking, and so on.

Scoring: Here is a graphical dissection of the fourth turn above:

ingenious board for 3   ingenious board for 3   
The leftmost image shows the board before the fourth turn; the second image shows the newly placed tiles annotated with red dots. The placement is scored by drawing lines starting from the two pieces of the tile straight across the neighboring hexagons as long as they don't cross any of the two newly occupied hexagons or unoccupied ones. The line is extended as long as it crosses hexagons of the same color. The number of hexagons it crosses is the number of points for this color.

Here is the example again:

ingenious board for 3   ingenious board for 3
From the lower hexagon of the new tile (left image), it is possible to draw two straight lines, each crossing one green hexagon. Thus this part of the tile yields two points for green. In contrast, the upper hexagon of the new tile allows only one straight line to be drawn across hexagons; see the right image. Then again, the line crosses two green hexagons, meaning it also yields two points for green. Hence, the player has just obtained four green points with this turn.

Note: The description above is intentionally vague though they could serve as the basis for running a game. They also differ a bit from the original game. The projects will supplement the above description over the course of the semester, and they may add additional small wrinkles.

last updated on Tue Apr 12 15:14:46 EDT 2011generated with Racket