# Category:Definitions/Fibonacci Nim

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This category contains definitions related to Fibonacci Nim.

Related results can be found in Category:Fibonacci Nim.

**Fibonacci nim** is a two-person game whose rules are as follows:

- $(1): \quad$ The game starts with one pile of $n$ counters.

- $(2): \quad$ The first player removes a number of counters $c_1$ such that $1 \le c_1 < n$.

- $(3): \quad$ Each player takes it in turns to remove $c_n$ counters such that $1 \le c_n \le 2 c_{n - 1}$ where $c_{n - 1}$ is the number of counters taken in the other player's prevous move.

- $(3): \quad$ The person who removes the last counter (or counters) is the winner.

## Pages in category "Definitions/Fibonacci Nim"

The following 2 pages are in this category, out of 2 total.