论文标题
艺术的折叠：避免在有限空间中的过去
The folding of art: avoiding one's past in finite space
论文作者
论文摘要
贯穿人类历史，新一代试图创造自己的艺术风格，同时试图避免重复，例如早期的音乐。如果我们假设此搜索发生在多维但狭窄的创造力空间中，则会产生高度复杂的动态。我们提出了一个非常简单的数学模型，该模型具有两个参数，可以用作有限空间中过去回避的通用表示，并且在质量上与早期的动态系统不同。在呈现的径向限制的形式中，轨迹保留了其复杂性，同时在较高的维度中缩回恒定半径的高度表面的附近。
Through-out human history the new generations have sought to create their own artistic style while trying to avoid repeating, for example, earlier generations' music. If we assume that this search occurs in a multi-dimensional but confined space of creativity, this gives rise to highly complex dynamics. We present a very simple mathematical model with two parameters which can serve as a generic representation for past avoidance in finite space and is qualitatively distinct from earlier dynamical systems. In the presented radially confined form, the trajectory preserves its complexity while retracting to the vicinity of a hypersurface of constant radius when considered in higher dimension.
