We consider the problem of whether a given geometry can be molded in a two-part, rigid, reusable mold with opposite removal directions. We describe an efficient algorithm for solving the opposite direction moldability problem for a 2D “polygon” bounded by edges that may be either straight or curved. We introduce a structure, the normal graph of the polygon, that represents the range of normals ...

Software tools for generating a parting surface around a molded part have been available for many years and could be of use for additive fabrication of complex objects. This paper explores the use of software tools such as Materialise Magics Tooling TM and SolidWorks ® software to assist in reducing complex objects, such as a lattice structure, into sub-elements free of undercuts and hidden int...

The mathematical distinction between prose and verse may be detected in writings that are not apparently lineated, for example in T. S. Eliot’s Burnt Norton, and Jim Crace’s Quarantine. In this paper we offer comments on appropriate statistical methods for such work, and also on the nature of formal innovation in these two texts. Additional remarks are made on the roots of lineation as a metric...