一百萬邊形

正一百萬邊形
即使一百萬邊形被画成地球一样大，也很难与圆形区分。
類型	正多邊形
對偶	正一百萬邊形（本身）
邊	1000000
頂點	1000000
對角線	499998500000
施萊夫利符號	{1000000} t{500000}
考克斯特符號（英语：Coxeter–Dynkin diagram）
對稱群	二面體群 (D_1000000), order 2×1000000
面積	${\frac {1000000}{4}}a^{2}\cot {\frac {\pi }{1000000}}$ $\approx 79577471545.686a^{2}$
內角（度）	${\frac {179999640}{1000000}}^{\circ }=\,$ $179{\frac {999640}{1000000}}$ ^{^{^{^o}}} 179.99964°
內角和	179999640°
特性	凸、圓內接多邊形、等邊多邊形、等角多邊形、等邊圖形
查论编

在幾何學中，一百萬邊形指有1,000,000條邊和1,000,000個頂點的多邊形。^[1]^[2]

正一百萬邊形

一個正一百萬邊形的每個內角為179.99964°。^[1]

一個單位圓的內接正一百萬邊形的周長為：

2000000\sin {\frac {\pi }{1000000}}

結果十分接近於 $2\pi$ 。實際上，與地球大小的圓形之圓周（40075公里）相比，它的內接正一百萬邊形的周長与它相差不到1/16毫米。^[3]

這個形狀對角線有499998500000條。

如同笛卡爾一千邊形的例子，一百萬邊已被用來作為不能被可視化的明確定義的概念的說明。^[4]^[5]^[6]^[7]^[8]^[9]^[10]

參考文獻

^ ^1.0 ^1.1 Darling, David J., The universal book of mathematics: from Abracadabra to Zeno's paradoxes, John Wiley & Sons, 2004. Page 249. ISBN 0-471-27047-4.
^ Dugopolski, Mark, College Algebra and Trigonometry, 2nd ed, Addison-Wesley, 1999. Page 505. ISBN 0-201-34712-1.
^ Williamson, Benjamin, An Elementary Treatise on the Differential Calculus, Longmans, Green, and Co., 1899. Page 45.
^ McCormick, John Francis, Scholastic Metaphysics, Loyola University Press, 1928, p. 18.
^ Merrill, John Calhoun and Odell, S. Jack, Philosophy and Journalism, Longman, 1983, p. 47, ISBN 0-582-28157-1.
^ Hospers, John, An Introduction to Philosophical Analysis, 4th ed, Routledge, 1997, p. 56, ISBN 0-415-15792-7.
^ Mandik, Pete, Key Terms in Philosophy of Mind, Continuum International Publishing Group, 2010, p. 26, ISBN 1-84706-349-7.
^ Kenny, Anthony, The Rise of Modern Philosophy, Oxford University Press, 2006, p. 124, ISBN 0-19-875277-6.
^ Balmes, James, Fundamental Philosophy, Vol II, Sadlier and Co., Boston, 1856, p. 27.
^ Potter, Vincent G., On Understanding Understanding: A Philosophy of Knowledge, 2nd ed, Fordham University Press, 1993, p. 86, ISBN 0-8232-1486-9.

查论编多边形
1–10邊	一角形二角形三角形正三角形直角三角形等腰三角形不等邊三角形四邊形正方形矩形菱形鷂形梯形平行四边形五边形六边形七边形八边形九邊形十边形
11–20邊	十一边形十二边形十三边形十四边形十五边形十六边形十七边形十八边形十九邊形二十邊形
21–100邊（部分的）	二十一邊形（日语：二十一角形）二十二邊形（日语：二十二角形）二十三邊形（英语：Icositrigon）二十四邊形三十邊形（英语：Triacontagon）四十邊形（西班牙语：Tetracontágono）五十邊形（西班牙语：Pentacontágono）六十邊形（日语：六十角形）七十邊形（日语：七十角形）八十邊形（日语：八十角形）九十邊形（日语：九十角形）一百邊形（西班牙语：Hectágono）
>100邊	二百五十七邊形一千邊形一萬邊形（英语：Myriagon）六萬五千五百三十七邊形十萬邊形（匈牙利语：Százezerszög）一百萬邊形四十二億九千四百九十六萬七千二百九十五邊形無限邊形超無限邊形
複多邊形	複八邊形莫比烏斯-坎特八邊形
其他	空多胞形零角形扭歪無限邊形
星形多邊形	五角星六角星七角星八角星九角星十角星十一角星十二角星無限角星
分類	凸多邊形凹多邊形星形多邊形正多边形退化多邊形基本多边形簡單多邊形複雜多邊形扭歪多邊形複多邊形星狀多邊形等边多边形等角多邊形平行多邊形圓外切多邊形圓內接多邊形可作图多边形雙心多邊形

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