Abstract: A sliding loop game with move constraints includes a playing field formed by intersecting strings and loops. Each loop is a self-connected chain of sites. Each string consists of a chain of sites. Both ends of a string are virtually connected in a loop via invisible connecting sites. Each site is occupied by a game object specifically marked by a color, pattern, character or characters, number, image, or any other identifying marks. Game objects in a loop or a string are moveable as a whole group along the respective sites in the loop or string. If the game object at the end-site of a string leaves the string, it reappears in the end-side at the other end of the string. Movement constraints are applied to the game objects by using master game objects. Hints on target positions of game objects and allowed movements directions are indicated on the playing field.

Abstract: A sliding loop game with move constraints includes a playing field formed by intersecting strings and loops. Each loop is a self-connected chain of sites. Each string consists of a chain of sites. Both ends of a string are virtually connected in a loop via invisible connecting sites. Each site is occupied by a game object specifically marked by a color, pattern, character or characters, number, image, or any other identifying marks. Game objects in a loop or a string are moveable as a whole group along the respective sites in the loop or string. If the game object at the end-site of a string leaves the string, it reappears in the end-side at the other end of the string. Movement constraints are applied to the game objects by using master game objects. Hints on target positions of game objects and allowed movements directions are indicated on the playing field.

Abstract: A two-dimensional cyclic game for creating and implementing puzzles and the like includes a two-dimensional playing field of either planar or curved configurations, a plurality of fixed sites defined on the playing field, and a plurality of game objects occupying the fixed sites. The game objects are movable only in groups. The groups are repositionable through performance of a series of consecutive moves to restore the game objects on the sites to a desired pattern. Also, in each of the moves, the game objects in a selected one of the groups are cyclically moved simultaneously in a given direction through translation or rotation along an endless cyclic path. In each cyclic translational move, the game objects of the selected one group are moved such that one of the game objects of the selected group located adjacent to a first portion of the playing field border is moved off the field at the first portion thereof and back onto the playing field at a second portion of the playing field border.