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In this paper, we introduce the concept of 2-way 2-fold genus-1 non-wovenfabrics that can be used to design self-regulating breathable building skins.The advantage of non-woven structures over woven structures for breathable skindesign is that they can completely be closed to stop air exchange. We havedeveloped a theoretical framework for such non-woven structures starting fromthe mathematical theory of biaxial 2-fold Genus-1 woven fabrics. Byre-purposing a mathematical notation that is used to describe 2-fold 2-way2-fold genus-1 woven fabrics, we identify and classify non-woven fabrics.Within this classification, we have identified a special subset thatcorresponds to satin woven fabrics and allows for maximum air exchange. Anyother subset of non-woven structures that correspond to other classical 2-way2-fold genus-1 fabrics, such as plain or twill, will allow for less airexchange. We also show that there exists another subset of satin non-wovenfabrics that can provide the biggest openings.

Satin Non-Woven Fabrics for Designing of Self-Regulating Breathable Building Skins