RecordNumber
2103
Author
Séquin, Carlo H.
Title of Article
2-Manifold Sculptures
Title Of Journal
Bridges
Publication Year
2015
Page
17-26
Notes
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
Abstract
Many abstract geometrical sculptures have the shape of a (thickened) 2D surface embedded in 3D space. A fundamental theorem about such surfaces states that their topology is captured with just three parameters: orientability, genus, and number of borders. When trying to apply this classification to interesting sculptures of famous artists depicted on the Web, a first non-trivial task is to establish an unambiguous 3D model based on which the three topological parameters can be determined. This paper describes some successful, practical approaches and gives the results for sculptures by M. Bill, C. Perry, E. Hild, and others. It also discusses the surprising topological equivalences that arise from such an analysis.
URL
,/DL/Data Entry/Edit/AddToCompilation.aspx,/DL/Data Entry/NewEdit/Documents/Math_English_Electronic_Articles_EditCompile_454.aspx