螺旋效应是心理上的吗?

IF 0.1 Q4 MATHEMATICS
B. Klaassen
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引用次数: 1

摘要

2017年[1]给出了螺旋瓷砖的定义,从而回答了gr nbaum和Shephard在20世纪70年代末提出的问题。在他87岁的时候,作者有幸通过电子邮件与Branko grnbaum讨论了这个话题。在这个通信过程中,出现了一个问题,即螺旋结构(给定它的特定定义)是否可以自动识别,或者“至少在某种程度上,螺旋效应是心理上的”,正如gr nbaum和Shephard在1987年推测的那样(参见[4]第9.5章的练习部分)。本文将讨论一种自动检测这种瓷砖螺旋结构的算法及其首次实现结果。最后,对几种类型的螺旋瓷砖的定义将在此调查的基础上加以完善。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Is the spiral effect psychological?
In 2017 [1] a definition of spiral tilings was given, thereby answering a question posed by Grünbaum and Shephard in the late 1970s. The author had the pleasure to discuss the topic via e-mail with Branko Grünbaum in his 87th year. During this correspondence the question arose whether a spiral structure (given a certain definition of it) could be recognized automatically or whether “to some extent, at least, the spiral effect is psychological”, as Grünbaum and Shephard had conjectured in 1987 (see exercise section of chapter 9.5 in [4]). In this paper, an algorithm for automatic detection of such a tiling’s spiral structure and its first implementation results will be discussed. Finally, the definitions for several types of spiral tilings will be refined based on this investigation.
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