These are two games found in Jeux et Stratégie #43, printed in February 1987.
The first game is called Blocs. It is played on a 4x4 board with 16 Othello pieces.
- Initially, players take turns dropping one piece on an empty square, with its face turned up, until the board is full
- Then, on his turn, the player must select a rectangle of pieces (it can be as small as an isolated piece, or as large as the entire board) that has a black piece on its lower-right corner. Then the player flips all the rectangle's pieces.
- It is assumed that both players are facing the board from the same side. If they are opposite to each other, then the other player can only flip rectangles with a black piece in its upper-left corner.
- Wins the player that moves last (i.e., the first to make the board all covered with white pieces)
Here's the J&S text:
At first the game seems to allow endless matches, since we are flipping pieces on and on. But that is not so. The lower-right most pieces, after becoming White, will never be flipped again. So, each board constructed at the initial phase has a budget that is spent on every turn, making the game end sooner or later.
The text mentions John Conway as the game author. I was unable to find the English name of this game. In the book Winning Ways, chapter 14 is dedicated to Turning games, but this specific ruleset is not included.
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The second game is Troll by Jean-Claude Rosa. It is played on an 8x8 board with 64 Othello pieces (i.e., the entire Othello set).
The rules are like Othello except:
- One player owns the left and right edges of the board, while the other owns the top and bottom edges
- Capturing/flipping enemy pieces is only mandatory in the squares owned by the adversary (his edges, including corners). So, a piece can be dropped on an empty square, in the middle of the board, without making any capture.
- Wins the player that makes a connection between his edges (diagonal connections are not valid)


It seems that Troll might deadlock. Is that so?
ReplyDeleteBTW that was comment was me (Craig)
ReplyDeleteI think it can deadlock, yes.
ReplyDeleteThis game is the second of the orthogonal connection games family, after Sid Sackson's Network. There's a bit more info at WAG's, https://jpneto.github.io/world_abstract_games/troll.htm