Fitousi Daniel, Algom Daniel
Department of Psychology, Ariel University, Israel.
The School of Psychological Sciences, Tel-Aviv University, Israel.
Iperception. 2024 Feb 14;15(1):20416695241226545. doi: 10.1177/20416695241226545. eCollection 2024 Jan-Feb.
Of the four interrelated concepts in the title, only symmetry has an exact mathematical definition. In mathematical development, symmetry is a graded variable-in marked contrast with the popular binary conception of symmetry in and out of the laboratory (i.e. an object is either symmetrical or nonsymmetrical). Because the notion does not have a direct graded perceptual counterpart (experimental participants are not asked about the amount of symmetry of an object), students of symmetry have taken various detours to characterize the perceptual effects of symmetry. Current approaches have been informed by information theory, mathematical group theory, randomness research, and complexity. Apart from reviewing the development of the main approaches, for the first time we calculated associations between figural goodness as measured in the Garner tradition and measures of algorithmic complexity and randomness developed in recent research. We offer novel ideas and analyses by way of integrating the various approaches.
在标题中的四个相互关联的概念中，只有对称性有确切的数学定义。在数学发展中，对称性是一个分级变量——这与实验室内外流行的关于对称性的二元概念（即一个物体要么是对称的，要么是非对称的）形成鲜明对比。由于这个概念没有直接的分级感知对应物（实验参与者不会被问及物体的对称程度），研究对称性的学者们采取了各种迂回方式来描述对称性的感知效果。当前的方法受到信息论、数学群论、随机性研究和复杂性的影响。除了回顾主要方法的发展历程，我们首次计算了加纳传统中所测量的图形优度与近期研究中所开发的算法复杂性和随机性度量之间的关联。我们通过整合各种方法提供了新颖的观点和分析。
