What is the name of the game? *

Claudio Gutierrez

FORMATION RULES:

  1. A, T, U, V, W, and Y are creatures.
  2. Iff (if and only if) 1 and 2 are both creatures, so is .
  3. Iff 1 is a creature and 2 is a horizontal mirror image (the mirror is the floor) of 1, then 2 is also a creature.
  4. A set of two adjacent rooms is an enclosure iff either creatures or enclosures exist within both adjacent rooms.

ACTION RULES: (they presuppose formation rules)

Traffic rule
Creatures can move freely within a room, provided they do not rotate (they cannot cross over room boundaries, though).

Composition rule
Any two creatures can become united by a yoke (), or separated by the disappearance of it, iff all creatures involved exist within the very same room (they cannot leave a boat (), though).

Creation-in-bondage rule
An enclosure can be created out of nothing anywhere –in the outside world or within a room– provided that each of the adjacent rooms come into being already inhabited by a single creature which is the horizontal mirror image of the creature in the other room.

Reproduction rule
A creature can originate a replica of itself anywhere within the boundaries of the space (room or outside world) in which it stands, even within smaller enclosures contained in it.

Liberation by destruction rule Whenever a creature and its horizontal mirror image come to be together within a given room, without any wall separating them, that room with all its contents disappears; its adjacent room disappears also, but its contents is liberated into its surrounding space, Iff that space is the outside world, the game is over.

SAMPLES

*: Unpublished before, probably written in Las Cruces during the Winter semester of 1973.

Copyright © 2007 Claudio Gutierrez