基于分形理论的现代景观雕塑及其空间维度研究

Study on the Modern Landscape Sculpture and Its Spatial Dimensions Based on Fractal Theory

文章主要探讨现代景观雕塑的空间分形维度,进而研究这种维度值与艺术家的作品风格是否有内在的联系。实验借助分形几何手段,通过亨利摩尔具有代表意义的现代雕塑作品,来对这种分形景观雕塑的空间维度进行轮廓切片测量研究,得出雕塑断面轮廓维度(D1维度)和断面阴影维度(D2维度)的近似指标值,从而认为,维度决定着雕塑的形式与细节的繁简。结论是:D1维度指标影响雕塑的外形变化特征,而D2维度指标则影响形状内诸如包括嵌套元素在内的细节丰富度。

This paper discusses the fractal spatial dimensions of modern landscape sculpture, and the influence of the dimensions on the art styles of artists. By the mathematics means of fractal geometry, and examples of representative modern sculptures of Henry Moore, the paper explains contour section measurement of spatial dimensions of fraetal landscape sculpture. It obtains the approximation parameter between section outline dimension （D1 dimension ） and the section dimension of shadow dimension （D2 dimension） from Moore sculptures, thus argues that dimensions deter- mine the form of sculpture and the direction of its simplity or complexity. The conclusion is that the D1 dimension in- dexs affect the change characteristics of the sculpture shape, while the D2 dimension indexs affect the details such as nested elements within the shape.