Methodology for identifying the intersection of mutually intersecting surfaces to optimize sheet material cutting for the fabrication of parts and structures

Abstract. Sheet material is often used to create intricate details and complete structures in engineering, essential in both industry production and building construction. It is common to design and construct structures that involve various intersecting basic geometric surfaces. Introduced in the present paper is a validated methodology for identifying the intersection of two or more mutually intersecting surfaces. Utilizing the developed methodology can greatly simplify the production of complex surface details and structures from sheet material, leading to improved accuracy in cutting maps, reduced waste generation, simplified work processes, and minimized errors in planning.