Dim

Equipment:

A number of counters (or coins or matches or any small objects)

Number of players:

2

The Set-up:

The counters are arranged into several 'heaps'.

Here is a typical three-heap game:

A Move:

At your turn you may remove d counters from a heap of size n only if d divides n.

You win:

If your opponent has no valid move.

Comments:

In the game above the following are legal moves for the opening player:

From Heap 1 remove 1, 2, 4 or 8 counters. From Heap 2 remove 1, 2, 3 or 6 counters. From heap 3 remove 1 or 5 counters.

Variations:

In the above description of the game, removing n counters from a heap of size n is a legal move. There is a variation, called Dim-, that makes this move illegal.

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