The problem was initially solved in 1969 by modelling the cat as a pair of cylinders (the front and back halves of the cat) capable of changing their relative orientations and has been described in terms of a connection in the configuration space that encapsulates the relative motions of the two parts of the cat permitted by the physics. We can model the simplified "cat" as two cylinders connected by a flexible spine in the middle. We also assume that the flexible spine disallows twisting, so both cylinders can only rotate by the same degree. Thus, the configuration space of the system has only three dimensions: