The Silver Dollar Game With No Silver Dollar (Bogus Nim)

This game is played very much like the games of Nimble and Scoring. Counters are placed on strip of squares and are moved (dragged) leftward. Counters are not allowed to move over each other, and no two counters may be placed on the same square.

Start with the rightmost counter and count the number of empty squares up to the next counter. This number is the size of the first heap. Skip one gap between the counters. The length of the next gap is the size of the second heap, and so on. If the number of counters is odd, the size of the last heap is determined by the position of the leftmost counter. Note that any eligible move may only affect the size of a single heap.