查看“︁一百萬邊形”︁的源代码

{{NoteTA|G1=Math}}
{{infobox regular polygon
|image = Megagon.svg
|caption = 即使一百萬邊形被画成[[地球]]一样大，也很难与[[圆形]]区分。
|edges =1000000
|S. symbol ={1000000}
|C-D diagram ={{CDD|node_1|1000000|node}}<br>{{CDD|node_1|500000|node_1}}
}}
在[[幾何學]]中，'''一百萬邊形'''指有1,000,000條邊和1,000,000個[[頂點 (幾何)|頂點]]的[[多邊形]]。<ref name=Darling/><ref>Dugopolski, Mark, ''[http://books.google.com/books?id=l8tWAAAAYAAJ College Algebra and Trigonometry]'', 2nd ed, Addison-Wesley, 1999. Page 505. ISBN 0-201-34712-1.</ref>

== 正一百萬邊形 ==
一個正一百萬邊形的每個內角為179.99964°。<ref name=Darling>Darling, David J., ''[http://books.google.com/books?id=0YiXM-x--4wC&pg=PA249&dq=polygon+megagon&hl=en&sa=X&ei=0TE4T7jOMc-G0QGH1ezGAg&ved=0CDgQ6AEwAA#v=onepage&q=polygon%20megagon&f=false The universal book of mathematics: from Abracadabra to Zeno's paradoxes]'', John Wiley & Sons, 2004. Page 249. ISBN 0-471-27047-4.</ref>

一個單位圓的[[外接圓#正多邊形的外接圓|內接]]正一百萬邊形的[[周長]]為：
:<math>2000000 \sin\frac{\pi}{1000000}</math>

結果十分接近於<math>2\pi</math>。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]]。<ref>Williamson, Benjamin, ''[http://books.google.com.au/books?id=E72yNz5sBY0C&pg=PA45 An Elementary Treatise on the Differential Calculus]'', Longmans, Green, and Co., 1899. Page 45.</ref>

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。<ref>McCormick, John Francis, ''[http://books.google.com/books?id=KyFHAAAAIAAJ&q=%22million-sided+polygon%22&dq=%22million-sided+polygon%22&hl=en&sa=X&ei=gl06T6CeAcGjiQeO3qCNCg&ved=0CEkQ6AEwBA Scholastic Metaphysics]'', Loyola University Press, 1928, p. 18.</ref><ref>Merrill, John Calhoun and Odell, S. Jack, ''[http://books.google.com/books?id=_aNZAAAAMAAJ&q=%22million-sided+polygon%22&dq=%22million-sided+polygon%22&hl=en&sa=X&ei=gl06T6CeAcGjiQeO3qCNCg&ved=0CD0Q6AEwAg Philosophy and Journalism]'', Longman, 1983, p. 47, ISBN 0-582-28157-1.</ref><ref>Hospers, John, ''[http://books.google.com/books?id=OVu0CORmhL4C&pg=PA56&lpg=PA56 An Introduction to Philosophical Analysis]'', 4th ed, Routledge, 1997, p. 56, ISBN 0-415-15792-7.</ref><ref>Mandik, Pete, ''[http://books.google.com/books?id=5yHtsM-NToYC&pg=PA26 Key Terms in Philosophy of Mind]'', Continuum International Publishing Group, 2010, p. 26, ISBN 1-84706-349-7.</ref><ref>Kenny, Anthony, ''[http://books.google.com/books?id=ehZGIy_ZYTgC&pg=PA124 The Rise of Modern Philosophy]'', Oxford University Press, 2006, p. 124, ISBN 0-19-875277-6.</ref><ref>Balmes, James, ''[http://books.google.com/books?id=MrwKHqw06hMC&pg=PA27 Fundamental Philosophy, Vol II]'', Sadlier and Co., Boston, 1856, p. 27.</ref><ref>Potter, Vincent G., ''[http://books.google.com/books?id=SnO1FKnJui4C&pg=PA86 On Understanding Understanding: A Philosophy of Knowledge]'', 2nd ed, Fordham University Press, 1993, p. 86, ISBN 0-8232-1486-9.</ref>

== 參考文獻 ==
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{{多邊形}}

[[Category:多邊形]]