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360-gon : ウィキペディア英語版
360-gon

In geometry, a 360-gon (triacosihexacontagon or triacosihexecontagon) is a polygon with 360 sides. The sum of any 360-gon's interior angles is 64440 degrees.
==Regular 360-gon properties==
A ''regular 360-gon'' is represented by Schläfli symbol and also can be constructed as a truncated 180-gon, t, or a twice-truncated enneacontagon, tt, or a thrice-truncated tetracontapentagon, ttt.
One interior angle in a regular 360-gon is 179°, meaning that one exterior angle would be 1°.
The area of a regular 360-gon is (with )
:A = 90t^2 \cot \frac
and its inradius is
:r = \fract \cot \frac
The circumradius of a regular 120-gon is
:R = \fract \csc \frac
Since 360 = 23 × 32 × 5, a regular 360-gon is not constructible using a compass and straightedge,〔(Constructible Polygon )〕 but is constructible if the use of an angle trisector is allowed.〔http://www.math.iastate.edu/thesisarchive/MSM/EekhoffMSMSS07.pdf〕

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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