RecordNumber
1823
Author
Luecking, Stephen
Title of Article
Building the Schwarz D-Surface from Paper Tiles
Title Of Journal
Bridges
Publication Year
2012
Page
373-376
Notes
Bridges 2012: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
Abstract
Periodic minimal surfaces are doubly curved and so problematic to create from paper, a material more amenable to developable surfaces. However, breaking the curvature into polygonal facets can visually approximate these surfaces. Furthermore, repeating and alternately inverting a single fundamental patch will tile periodic surfaces. This patch may be triangulated and unfolded into patterns for the modeler to print and fold into a number of non-planar tiles for constructing the surface. In the case of a lined periodic minimal surface, like the Schwarz D-Surface, the straight lines crisscrossing the surfaces define the boundaries of the fundamental patch as non-planar polygons. As demonstrated in this paper, such saddle polygons are relatively simple to fabricate and then to join into a representation of the surface.
URL
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