Interpretation of an axonometric projection of a polyhedron

Abstract This paper addresses some problems in interpretation of axonometric line drawings of polyhedrons, especially the problems of how much and what kind of further information is necessary to reconstruct uniquely the shape of objects from their axonometric line drawings. For line drawings which are precise, in the sense that vertices are drawn in correct position, the problems can be treated in terms of linear algebra, and a method for solving them is established. When line drawings are roughly drawn, on the other hand, the problems are much more difficult; a solution based on some combinatorial technique is given to a restricted object world in which each vertex lies on exactly three faces.

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