Abstract
This paper presents a method for designing 3D ambiguous objects that can be produced by mold casting. The ambiguous objects are 3D solids that give two quite different appearances when seen from two special viewpoints. They can be constructed by 3D printers, but cannot necessarily be constructed by die casting and hence are not suitable for mass production. In this paper we concentrate on one class of ambiguous objects called ambiguous tilings, and propose a method for designing 3D objects that can be tapered monotonically and consequently can be drawn from the mold. This method enables us to apply the ambiguous tiling to real-life uses such as artistic fences and lattice windows.
