國立清華大學 數學系

Abstract：
Designing free-form architecture presents a major challenge: translating fluid, organic envelopes into affordable, flat assemblages. Discrete differential geometry solves this by utilizing circular and conical meshes, which possess the unique property of having planar, quad-dominant facets. Because these facets are exactly flat, architects can use standard planar panels—such as glass or metal—to clad complex, doubly-curved surfaces. This mathematical approach eliminates the need for expensive, custom-molded curved panels, drastically reducing fabrication costs while maintaining geometric integrity and aesthetic appeal.