基于Peano曲线的几何条纹形建筑纹样设计

Design in Geometry-Quadratic-Equation Successive Lines with Peano-Scan

分形作为一种设计语言,是创新的艺术表现方法。分形图形的对称、自相似、动态平衡等特性与几何条纹形的对称、连续的特点极其相似。将分形理论生成的规则分形图形应用于几何形建筑纹样设计中,不仅可以创作出新的几何形建筑纹样图形,而且丰富了几何形建筑纹样的设计方法。通过应用LS算法生成了两大类型多种Peano曲线,通过改变迭代次数,生成不同迭代深度的规则Peano曲线几何图形。将这些图形结合几何条纹形构成方法和图形特点应用于几何条纹形建筑纹样的设计,生成了如建筑窗格、建筑栏杆与建筑地坪等不同类型的几何条纹形建筑纹样,进而提出新的几何条纹形建筑纹样设计方法。

As a kind of design-language the Fractal is an approach in an artistic and creative way. The fractal figure＇s symmetry,self-similarity as well as dynamic balance are the same as those of geometry-stripe. It can not only create some new geometry-sized structure lines but also enrich the method for designing through applying the regular fractal figure to the geometry stripe. The results of two kinds of Peano curves are gained through LS System, and then regular geometry figure with Peano curves through altering repeated times. Those figures with geometry lines method and features were applied to its designing for structure, and then different kinds of geometry lines such as builiding window framework and railing are gained, at last, a way for geometry-stripes building lines is created.