论文部分内容阅读
以《黄金率与五重对称》为开端,《物体的形状与黄金率》进一步阐述了现实生活中多边形结构占主要形式的理由(层次结构定理),如,黄金率出现在许多建筑物和绘画作品中(美学定理)等。本文是前述研究的延续,目的在于揭示关于金字塔和其他神圣建筑物数据方面的许多错误推测。这里我们以同样的思想来诠释关于或者黄金率或者等极其美好的数据的错误推测。研究的成功在于仔细探求了许多金字塔的数据,而不只是研究最大的一个金字塔的数据。前半部分是不关联数,后半部分我们致力于二次域上的黄金分割率,并以一种简单易懂的方式,给出了许多代数数论中的记号和结果。我们认为读者具备(代数)数论的初步知识。有关这方面的详细内容,读者可参阅即将出版的书《数论与代数》。
Starting with the “Golden Ratio and the Five-fold Symmetry,” “The Shape of the Objects and the Golden Rate” further elaborates the rationale for the dominant form of polygonal structure in real life (hierarchy of theorems) such as the golden ratio appearing in many buildings and paintings Works (aesthetics theorem) and so on. This article is a continuation of the previous study, aiming to reveal many of the false assumptions about pyramid and other sacred buildings data. Here we use the same idea to explain the false speculation about the golden rate or the very best data. The success of the study lies in the careful exploration of many pyramid data, not just the largest pyramid data. The first half is the unassociated number. In the second half, we focus on the golden ratio of the second-order domain and give the notations and the results of many algebraic numbers in a simple and understandable way. We think the reader has a preliminary knowledge of (algebraic) number theory. For more details on this, readers can refer to the forthcoming book, Number Theory and Algebra.