213 citations · 359 across the 17 of their papers we have counts for
18 papers
Mathematical specification of hitomezashi designs
Katherine A. Seaton, Carol Hayes
Two mathematical aspects of the centuries-old Japanese sashiko stitching form hitomezashi are discussed: the encoding of designs using words from a binary alphabet, and duality. Tr…
Textile D forms and
Katherine A. Seaton
D-forms have in the past been created from inflexible materials, or considered as abstract mathematical objects. This paper describes a number of realisations of D-forms, and the r…
A two-dimensional introduction to sashiko
Carol Hayes, Katherine Seaton
Through the hands-on creation of two sashiko pieces of work - a counted thread kogin bookmark and a single running stitched hitomezashi sampler - participants will explore not only…
Platonicons: the Platonic solids start rolling
Katherine A. Seaton, David Hirsch
We describe the construction of a new family of developable rollers based on the Platonic solids. In this way kinetic sculptures may be realised, with the Platonic solids quite lit…
The polycons: the sphericon (or tetracon) has found its family
David Hirsch, Katherine A. Seaton
This paper introduces a new family of solids, which we call \textit{polycons}, which generalise the sphericon in a natural way. The static properties of the polycons are derived, a…
Sphericons and D-forms: a crocheted connection
Katherine A. Seaton
Sphericons and D-forms are 3D objects created and described by artists, which have separately received attention in the mathematical literature in the last 15 or so years. The atte…