Ranking small regular polygons by area and by perimeter
| العنوان: | Ranking small regular polygons by area and by perimeter |
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| المؤلفون: | Frédéric Messine, Pierre Hansen, Charles Audet |
| المصدر: | Journal of Applied and Industrial Mathematics. 3:21-27 |
| بيانات النشر: | Pleiades Publishing Ltd, 2009. |
| سنة النشر: | 2009 |
| مصطلحات موضوعية: | Perimeter, Combinatorics, Biggest little polygon, Applied Mathematics, Star-shaped polygon, Polygon, Regular polygon, Apothem, Equilateral polygon, Computer Science::Computational Geometry, Megagon, Industrial and Manufacturing Engineering, Mathematics |
| الوصف: | From the pentagon onwards, the area of the regular convex polygon with n sides and unit diameter is greater for each odd number n than for the next even number n + 1. Moreover, from the heptagon onwards, the difference in areas decreases as n increases. Similar properties hold for the perimeter. A new proof of a result by K. Reinhardt follows. |
| تدمد: | 1990-4797 1990-4789 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::253959e48d1da40a2820dcc46b743190 https://doi.org/10.1134/s1990478909010037 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........253959e48d1da40a2820dcc46b743190 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 19904797 19904789 |
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