| © 1995, Rocco Servedio|
|Variant of Stones in cups|
|Used in maths research|
|This game is a solitaire|
|Single lap game|
|First seed in the same hole|
|n holes per row|
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 colouring 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.
- (1995) 'A Bijective Proof on Circular Compositions', in Bulletin of the Institute of Mathematics Academia Sinica; 23. Pages 283-293.
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