Kōnane

[1][2] Before contact with Europeans, the game was played using small pieces of white coral and black lava on a large carved rock which functioned as both the board and a table.

In Kōnane, both players' pieces are intermixed in a checkered pattern of black and white occupying every square of the board.

Pieces can be laid out in the beginning of the game in an alternating checkerboard pattern of two colors on top of a table, on the ground, or on any flat surface.

Bob Hearn proved that Kōnane is PSPACE-complete with respect to the dimensions of the board, by a reduction from nondeterministic constraint logic.

In the 2008 paper "Konane has infinite nim-dimension",[10] Carlos Pereira dos Santos and Jorge Nuna Silva showed that Kōnane contains all other combinatorial games.

[11] Brainvita, also called Peg Solitaire, is a game for one person, in which the rules of Kōnane are used to move clockwise in turns.