|Inventors: Rocco Servedio & |
Yeong-Nan Yeh, 1995
|Variant of Stones in Cups|
|Sowing: Single laps|
Circular Composition was invented in 1995 by the mathematicians Rocco Servedio and Yeong-Nan Yeh of the Academia Sinica in Taipei, Taiwan (Republic of China). Its invention was motivated by the study of coloring circular-arc graphs. The game is a variant of Stones in Cups. Although it is often compared to Bulgarian Solitaire, the game does not use reverse sowing.
The board consists of any number m of circularly labeled "positions" around a disk.
A non-negative integer n of "units" is distributed in an arbitrary manner on the positions.
Initial Position with n=15 and m=7
A move consists of distributing the contents of a position, one by one, in a clockwise direction into the succeeding positions. The first unit is dropped to itself, the position that was just emptied.
The game ends when a "composition" (= board position) repeats.
- Servedio, R. & Yeh, Y.-N.
- A Bijective Proof on Circular Compositions. In: Bulletin of the Institute of Mathematics Academia Sinica 1995; 23: 283-293.