Textile D-forms and D4d

Abstract

D-forms were originally created from inflexible materials and have subsequently been considered as abstract mathematical objects. This paper describes a textile instance of a D-form, with ornamentation of the constituent surfaces as the highlighted feature. A set of 11 biscornu has been fashioned to provide a 3D sampler of the axial point group and its subgroups, using hitomezashi. Thus, this paper provides a link between the D-form literature and that of complete symmetry samplers in the fibre arts. GRAPHICAL ABSTRACT