Abstract: A reciprocal cam-powered razor in which the drive is effected through the use of multi-sided triangular section cams. Each cam has an odd number of cam faces and corresponding apices, beginning with a 3-face cam as of isosceles triangle of two equal length sides and with an apex in a normal or perpendicular line from a mid-length of the cam face. Other cams can be a 5-face or a 7-face and so on with odd numbers thereof. The inner sleeve of an inner and outer hair cutting sleeve head has a slot with longitudinally-spaced side edges against which apices of the respective cams work to reciprocate the inner sleeve in a multiple manner for but a single revolution of the drive shaft. Normal lines between each side and its apex will locate the axial center with which the cam will be co-aligned with drive axis of the handle body drive shaft.