Friday, September 01, 2023

The Rules Of Xor

A steady day yesterday, developing a second mural concept. As part of the idea, I've designed a game called Xor based around the concept of exclusive-or.

The game is played on a board of equilateral triangles in a rhombus shape, though any shape or size of board can be used (a 6-pointed star is another option):

The rules are:

1. There are two players, one plays as zero (0), the other as one (1).
2. Players take turns to play. A turn consists of:
2.1. A player marks any empty triangle with their symbol (0 or 1).
2.2. If a symbol is present in one of the adjoining triangles, that value is 'flipped': a 0 is swapped for 1, a 1 is swapped for 0. As symbols can change, the game must be played with counters, or a pencil and eraser, or chalk or something else which can be erased.
3. Play continues until all triangles are marked.
4. The score is calculated as follows:
4.1. Players score 1 point for each triangle marked with their symbol.
4.2. The board includes some 'master triangles' as shown. If a player has the same symbol in each of the four triangles in that zone, a bonus of 6 points is added.

I considered having minor zones, awarding 3 points for two triangles of the same zone which adjoin. I rather like the idea though this add more complexity to the score calculation and visualisation of the board. I need to playtest this more.