Taylor R P, Spehar B, Wise J A, Clifford C W G, Newell B R, Hagerhall C M, Purcell T, Martin T P
Physics Department, University of Oregon, Eugene, OR 97403, USA.
Nonlinear Dynamics Psychol Life Sci. 2005 Jan;9(1):89-114.
Fractals have experienced considerable success in quantifying the complex structure exhibited by many natural patterns and have captured the imagination of scientists and artists alike. With ever widening appeal, they have been referred to both as "fingerprints of nature" and "the new aesthetics." Our research has shown that the drip patterns of the American abstract painter Jackson Pollock are fractal. In this paper, we consider the implications of this discovery. We first present an overview of our research from the past five years to establish a context for our current investigations of human response to fractals. We discuss results showing that fractal images generated by mathematical, natural and human processes possess a shared aesthetic quality based on visual complexity. In particular, participants in visual perception tests display a preference for fractals with mid-range fractal dimensions. We also present recent preliminary work based on skin conductance measurements that indicate that these mid-range fractals also affect the observer's physiological condition and discuss future directions based on these results.
分形在量化许多自然图案所呈现的复杂结构方面取得了相当大的成功,吸引了科学家和艺术家的关注。随着其吸引力不断扩大,它们被称为“自然的指纹”和“新美学”。我们的研究表明,美国抽象画家杰克逊·波洛克的滴画图案是分形的。在本文中,我们探讨这一发现的意义。我们首先概述过去五年的研究,为当前对人类对分形的反应的研究建立背景。我们讨论的结果表明,由数学、自然和人类过程生成的分形图像基于视觉复杂性具有共同的审美品质。特别是,视觉感知测试的参与者对具有中等分形维数的分形表现出偏好。我们还展示了基于皮肤电导率测量的近期初步工作,这些工作表明这些中等分形也会影响观察者的生理状况,并根据这些结果讨论未来的研究方向。