Sofiya, Bulgaria
This study is a continuation of the work “Introduction to Heuristic Geometry: Terms and Statements” [4], and its aim is to create matrices that can be used to design heuristic methods for searching the geometry of a technical object. The term ‘heuristic geometry’ was introduced by the author and is defined as any geometry—regardless of its type, properties, or mode of representation—that participates, either explicitly or implicitly, in solving a heuristic problem or emerges as the result of solving a heuristic problem. The study presents 10 matrices: for three of them general algorithms are provided, and for the remaining seven bibliographic guidelines are given. The three proposed matrices are: “Description of Technical Objects”, “Donor Domain”, and “Tropes, Figures of Speech, and Figures of Thought”. Each matrix defines a framework and provides general guidelines for developing specific methods. Based on the first matrix, a heuristic method called “Designing the Basic Functions” has been developed; it is intended both for the geometric design of a new technical object and for the modification of an existing one by using the geometries of already existing technical objects. The algorithm is illustrated with examples of its application. The remaining seven matrices are: “General Relations”, “Modules”, “Geometric Transformations”, “Ambiguity”, “Analogy”, “Morphological Analysis and Synthesis, Classification”, and “Brainstorming”. Based on these matrices, numerous heuristic methods have been developed in the author’s other publications. The results of the study correspond to the theory of technical object design and can be applied both in engineering practice and in the education of students at technical universities.
heuristic geometry, geometry, heuristics, technical object, design, heuristic methods
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