Demonstration of rotational symmetries in alpha-keratin microfibrils of porcupine quill tip

Selected electron micrographs of transversely, obliquely and longitudinally sectioned microfibrils of transversely sectioned porcupine quill tip are shown to possess 2-fold radial, 3-fold radial and 5-fold polygonal rotational symmetries. These symmetries are verified with a rotation technique, and are similar to edge, corner and face projections of a pentagonal dodecahedron. The a-keratin microfibril is therefore suggested to be composed of a linear arrangement of morphologically identical microfibrillar subunits which approximate the shape of a pentagonal dodecahedron. The various line patterns present in electron micrographs of microfibrils are explained by different orientations of this three-dimensional shape within the thickness of the section. Previous electron microscopic models for the structure of the microfibrils are incompatible with these results. The image averaging methods used to arrive at these earlier models are discussed, and are thought to yield results which must differ from the demonstrated rotational symmetries.