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: This paper introduces software that establishes semantic relationships between a room's geometry and internal obstacles. Its layout algorithm claims to reduce material waste by up to 73% compared to standard estimates. The Mathematical "Calculator" Logic

: This 2021 study proposes a multi-objective optimization framework using BIM. It focuses on reducing waste by up to 12% and minimizing the number of cut tiles by up to 5% through parametric design. how much tile to buy calculator

While simple online tools exist, academic and professional papers focus on the and the use of Building Information Modeling (BIM) to automate exact calculations. Primary Academic Resources : This paper introduces software that establishes semantic

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