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Good bookmark for gammon terms btw:
http://www.gammoned.com/glossary.html

Beaver (Binache): An optional rule whereby a doubled player may demand that the stakes be quadrupled instead of doubled, while retaining possession of the cube. This demand must be made before the doubler has thrown. When your opponent offers you a cube where you are actually the favorite to win it is often proper to offer a beaver if they are allowed.