The U.S. patent on the Mobius Resistor is titled Non-Inductive Electrical Resistor of R. L. Davis, 1964, Pat. No. 3,267,406. . Mobius Resistor is a term from the same patent in reference to itself as a class of cancellation-geometry electromagnetic devices.
A Mobius resistor cancels it inductive reactance at a certain resonant frequency.
A Frequency-dependent resistor as a capacitive strip shorted end-to-end, but with a half-twist, creating one surface with one edge as a Moebius strip.
Conductive edges of a Moebius dielectric strip create a polarization strain normal with the twist ;—DEM