This invention provides an improved means of quickly warming a pulse tube by shifting the phase relation of flow to the warm end of the pulse tube relative to flow to the warm end of the pulse tube relative to flow to the warm end of the regenerator using a \u201cfour valve\u201d concept and the \u201cactive buffer\u201d concept. The second time managing section holds information relating to connections in waiting transfer, by dividing into standardized time slots. Once the underlying geometry of the shape has been represented as a set of functions and positions, the functions and positions are composed with a transformation function to define new surface and curve functions.