Samenvatting
Tree-like structures, that is, branching structures without cycles, are attractive for artful expression. Especially interesting are fractal trees, where each subtree is a scaled and possibly otherwise transformed version of the entire tree. Such trees can be rendered in 3D by using beams with a polygonal cross section for the trunk and the branches. The challenge is to connect the beams at the branching points in such a way that the beam edges nicely meet. This is related to the miter joint, but does not necessarily involve ternary miter joints. In this article, we explore a parameterized family of fractal trees that can be rendered with polygonal beams whose edges meet properly at the branching points. We present various constructions and analyze their mathematical properties. Some of these trees have been constructed as artwork in wood and bronze.
Originele taal-2 | Engels |
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Titel | Proceedings of Bridges Towson: Mathematics, Music, Art, Architecture, Culture (15th Annual Bridges Conference, Towson MD, USA, July 25-29, 2012) |
Redacteuren | R. Bosch, D. McKenna, R. Sarhangi |
Uitgeverij | Tessellations Publishing |
Pagina's | 25-32 |
ISBN van geprinte versie | 978-1-938664-00-7 |
Status | Gepubliceerd - 2012 |
Evenement | 15th Annual Bridges Conference (Bridges 2012), July 25-29, 2012, Towson, MD, USA - Towson University, Towson, MD, Verenigde Staten van Amerika Duur: 25 jul. 2012 → 29 jul. 2012 http://bridgesmathart.org/past-conferences/bridges-2012/ |
Congres
Congres | 15th Annual Bridges Conference (Bridges 2012), July 25-29, 2012, Towson, MD, USA |
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Verkorte titel | Bridges 2012 |
Land/Regio | Verenigde Staten van Amerika |
Stad | Towson, MD |
Periode | 25/07/12 → 29/07/12 |
Ander | 2012 Bridges Conference |
Internet adres |