Copyright (c) 2001 William Chang
The game is played on the following hex board, with the following setup:
Some words from the author: For some time now [Apr 16, 2001] I have been toying with the idea of trying to model/abstract the flow of water carving out a mountainside. A related geometric pattern is the fractal on certain seashells. [...] The image in my mind is a root-pattern forming or tributaries of a river. [...] The game generalizes to any MxN board. Without more experience playing and "figuring it out" I don't know how M and N affect playability. My intuition suggests 8x8 (really 8x15 if you measured it at the bottom) is already nontrivial and 10x10 might be "tournament".
On the left, the game is already defined. White does not need to worry at this point with is top left stone, since the bottom left cell cannot be taken by Black. The same happens with the next 3 bottom cells, which are Black, whatever White plays.
[author words] After the bottom row is filled, the game can be
continued where the board progressively _narrows_ instead of widens. This
variant can also be arranged in a ring with a predetermined starting
position and stones (dry streambeds?) flowing toward a central "lake" (which
may even be empty, in which case whoever occupies the center wins).
. . . . . . . . . . . x o x o
. . . . . . . . . . o . . . x Too small
. . . . . . . . . x . . . . o of a board!
. . . . . . . . o . . . . x
. . . . . . . x . . . . o
. . . . . . o . . . x
. . . . . x o x o
I have named this game BigBasin, after a local mountain formation in Northern California. (It could have been called Tahoe or something.) I think more work needs to be done here than in Cascades. [...] The family of games I call Cascades and BigBasin are attempts at creating an abstract theme game based on a ubiquitous pattern, the flow of water. [William Chang Los Gatos, California 16 April 2001] (C) 2001 William I. Chang
There is a ZRF to play Cascades with Zillions.