Abstract: A razor consisting of a flexible cloth-like base material upon which are mounted a plurality of cutting heads. Each head is attached to the base material so as to be flexible in orientation. A preferred head embodiment includes a flat metal structure having an attachment hole for connection to the cloth and an aperture large enough for passage of one or more hairs, the perimeter of the aperture having a sharp edge for cutting the hair. The density, i.e. quantity of heads per unit area is preferably very large, resulting in some overlap of heads. In this dense configuration, the probability of a head engaging a hair is greatly increased, in spite of the somewhat random orientation of each head. This principle is more commonly known as the law of mass action. The dense, small cutting heads in combination with the flexible cloth-like base material provides a structure that easily conforms to body contours.