When it comes to the question of how much the state ought to punish a given offender, the standard understanding of the desert theory for centuries has been that it should give him a penalty proportionate to his offense, that is, an amount of punishment that fits the severity of his crime. In this article, part of a special issue on the geometry of desert, we maintain that a desert theorist is not conceptually or otherwise required to hold a proportionality (...) requirement. We show that there is logical space for at least two other, non-proportionate ways of meting out deserved penalties, and we also argue that they have important advantages relative to the dominant, proportionality approach. (shrink)