The disclosed embodiments provide a battery cell. The battery cell includes a set of layers forming a non-rectangular shape, wherein the set of layers comprises a cathode with an active coating, a separator, and an anode with an active coating. The battery cell also includes a first conductive tab coupled to the cathode and a second conductive tab coupled to the anode. The layers are enclosed in a flexible pouch, and the first and second conductive tabs are extended through seals in the pouch to provide terminals for the battery cell. Furthermore, the non-rectangular shape is created by removing material from one or more of the layers.