Richard B. Esterle
90 Radio Tower Rd. Callicoon, NY 12723, U.S.A.
(Received December 16, 1999; Accepted March 28, 2000)
Keywords: Geometry, Mathematics, Polyhedra, Modeling, Knots
Abstract. Dynamic Polystring Transformahedra Modeling (DPTM), U.S. Patent 5,316,483 is a new modeling concept in the exploration of 3-dimensional space in general and polyhedra specifically. Polyhedra are built with tubes passing through a polyhedral core and colored loops of string through those tubes. The color loops of string define the edges of a resulting polyhedron. The color patterns mirrotate at opposite ends of the tubes as well as opposing faces of the polyhedra due to intrinsic structural requirements of the modeling process. The polyhedra deform and/or interpenetrate as a result of sliding the tubes inline (inline translation). This paper will look at a few important embodiments of DPTM and is meant to introduce the concept, but is not comprehensive.