论文标题

Poncleet Loci的锻铁之美

The Wrought Iron Beauty of Poncelet Loci

论文作者

Reznik, Dan

论文摘要

我们已经建立了一个基于Web的工具,用于与Poncelet Triangle家族的实时互动。我们的最初目标是促进此类家庭的几何特性的探索性检测。在我附近的频繁散步期间,在我看来,Poncelet Loci与许多住宅建筑物入口处的锻铁大门上的图案分享了一个图案。结果,我开始在美学上看Poncelet Loci,这是一种生成艺术。逐渐将功能添加到工具中,其唯一目的是美化输出。随后将数百个有趣的基因座收集到在线“画廊”中,其中一些图形设计师进一步增强了一些。我们将在这里参观其中一些副产品。一个有趣的问题是,Poncelet基因座是否可以作为未来金属制品和/或建筑设计的基础。

We've built a web-based tool for the real-time interaction with loci of Poncelet triangle families. Our initial goals were to facilitate exploratory detection of geometric properties of such families. During frequent walks in my neighborhood, it appeared to me Poncelet loci shared a palette of motifs with those found in wrought iron gates at the entrance of many a residential building. As a result, I started to look at Poncelet loci aesthetically, a kind of generative art. Features were gradually added to the tool with the sole purpose of beautifying the output. Hundreds of interesting loci were subsequently collected into an online "gallery", with some further enhanced by a graphic designer. We will tour some of these byproducts here. An interesting question is if Poncelet loci could serve as the basis for future metalwork and/or architectural designs.

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