A battery using porous polymer materials with tapered or cone-shaped metalized pores. The types of batteries include, but are not limited to, Li—CoO2, Li—Mn2O4, Li—FePO4, Li—S, Li—O2, and other lithium cathode chemistries. The tapered metalized pores contain lithium metal in small reaction zones in the anode and cathode in a flexible structure. The form factor of such assembly would be very thin. Because of the thin form factor these electrodes would be suitable for batteries that require high power density, such certain electrical vehicles, power tools, and wearable devices.