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arXiv 1301.6293math.MG
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紧外接正多边形

Tightly Circumscribed Regular Polygons

Richard J. Mathar

摘要:

外接另一个正多边形(具有不同的边数)的正多边形可以被收紧以最小化两个面积的差异。手稿计算的最佳结果的限制下,两个多边形是同心的,并获得限制,如果这个过程是重复的二维巴布施卡娃娃的方式与边数增加或减少一个或通过素数步进。到目前为止,在文献中讨论的界限相比,新的方面是,进一步挤压的外部多边形是可能的,因为我们下降的要求绘制多边形对之间的中间间隔圆。

英文摘要:

A regular polygon circumscribing another regular polygon (with a different side number) may be tightened to minimize the difference of both areas. The manuscripts computes the optimum result under the restriction that both polygons are concentric, and obtains limits if the process is repeated in a two-dimensional Babuschka-doll fashion with side numbers increasing or decreasing by one or stepping through the prime numbers. The new aspect compared to the circumscription discussed in the literature so far is that further squeezing of the outer polygon is possible as we drop the requirement of drawing intermediate spacing circles between the polygon pairs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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