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hexacontagon : ウィキペディア英語版
hexacontagon

In geometry, a hexacontagon or hexecontagon is a sixty-sided polygon or 60-gon.〔.〕〔(''The New Elements of Mathematics: Algebra and Geometry ) by Charles Sanders Peirce (1976), p.298〕 The sum of any hexacontagon's interior angles is 10440 degrees.
==Regular hexacontagon properties==
A ''regular hexacontagon'' is represented by Schläfli symbol and also can be constructed as a truncated triacontagon, t, or a twice-truncated pentadecagon, tt.
One interior angle in a regular hexacontagon is 174°, meaning that one exterior angle would be 6°.
The area of a regular hexacontagon is (with )
:A = 15t^2 \cot \frac
and its inradius is
:r = \fract \cot \frac
The circumradius of a regular hexacontagon is
:R = \fract \csc \frac
This means that the trigonometric functions of π/60 can be expressed in radicals.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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