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In geometry, a chiliagon (pronounced ) is a polygon with 1000 sides or 1000-gon. Several philosophers have used it to illustrate issues regarding thought. == Regular chiliagon== A ''regular chiliagon'' is represented by Schläfli symbol and can be constructed as a truncated 500-gon, t, or a twice-truncated 250-gon, tt, or a thrice-truncated 125-gon, ttt. The measure of each internal angle in a regular chiliagon is 179.64°. The area of a regular chiliagon with sides of length ''a'' is given by : This result differs from the area of its circumscribed circle by less than 4 parts per million. Because 1000 = 23 × 53, the number of sides is neither a product of distinct Fermat primes nor a power of two. Thus the regular chiliagon is not a constructible polygon. Indeed, it is not even constructible with the use of neusis or an angle trisector, as the number of sides is neither a product of distinct Pierpont primes, nor a product of powers of two and three. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Chiliagon」の詳細全文を読む スポンサード リンク
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