A rewriteable low-power operation nonvolatile physically flexible memristor device is demonstrated. The active component of the device is inexpensively fabricated at room temperature by spinning a TiO2 sol gel on a. commercially available polymer sheet. The device exhibits memory behavior consistent with a memristor, demonstrates an on/off ratio greater than 10000 : 1, is nonvolatile for over 1.2 x 10(6) s, requires less than 10 V, and is still operational after being physically flexed more than 4000 times.