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

In geometry, a triacontadigon (or triacontakaidigon) is a thirty-two-sided polygon, or ''32''-gon. (In Greek, the prefix triaconta- means 30 and di- means 2.) The sum of any triacontadigon's interior angles is 5400 degrees.
An older name is tricontadoagon.〔(A Mathematical Solution Book Containing Systematic Solutions to Many of the Most Difficult Problems ) by Benjamin Franklin Finkel〕 Another name is icosidodecagon, suggesting a (20 and 12)-gon, in parallel to the 32-faced icosidodecahedron, which has 20 triangles and 12 pentagons.
==Regular triacontadigon==
The ''regular triacontadigon'' can be constructed as a truncated hexadecagon, t, a twice-truncated octagon, tt, and a thrice-truncated square.
One interior angle in a regular triacontadigon is 168.75°, meaning that one exterior angle would be 11.25°.
The area of a regular triacontadigon is (with )
:A = 8t^2 \cot \frac
and its inradius is
:r = \fract \cot \frac
The circumradius of a regular triacontadigon is
:R = \fract \csc \frac

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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