A rectangular hole cutter according to the teachings of the present embodiment of present invention is wholly shown as including a two-member cam device within a housing with a base plate, for vibrating one of three sets of alternate cutting blades to saw a rectangular hole in wall material. The cam is powered by an electric hand drill into which a stem from the male cam member has been inserted. The male cam swivels in a notch part of the female cam, which is centered on a base plate below the housing base plate, causing a vertical vibration in the unit as it is hand held against the area to be cut. The three blade sets, which are used for different materials, are generally of several blade members linked together rotatably and attached rotatably to a base plate which is secured to the bottom of the female cam member base plate. Vibration between the two base plates is governed by four spring constrained stabilizer posts anchored in the lower base plate and extending up slideably through the upper base plate. The vibration of the unit transmitted to the cutting blades causes a swivel, sawing action with help from drop arms from the cam housing base plate connecting the overlapping saw blades at a center point in each side which returns the blades rapidly to a starting point while vibrating.