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720-gon

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Regular 720-gon
Type Regular polygon
Edges and vertices 720
Schläfli symbol {720}, t{360}, tt{180}, ttt{90}, tttt{45}
Coxeter diagram CDel node 1.pngCDel 7.pngCDel 2x.pngCDel 0x.pngCDel node.png
CDel node 1.pngCDel 3x.pngCDel 6.pngCDel 0x.pngCDel node 1.png
Symmetry group Dihedral (D720), order 2×720
Internal angle (degrees) 179.5°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

In geometry, a 720-gon is a polygon with 720 sides.

Regular 720-gon properties[edit | edit source]

A regular 720-gon is represented by Schläfli symbol {720} and also can be constructed as a truncated 360-gon, t{360}, or a twice-truncated 180-gon, tt{180}, or a three-fold-truncated 90-gon, ttt{90}, or a four-fold-truncated 45-gon, tttt{45}.

One interior angle in a regular 720-gon is 179.5°, meaning that one exterior angle would be 0.5°.

Since 720 = 24 × 32 × 5, a regular 720-gon is not constructible using a compass and straightedge,[1] but is constructible if the use of an angle trisector is allowed.

See also[edit | edit source]

References[edit | edit source]


This article "720-gon" is from Wikipedia. The list of its authors can be seen in its historical and/or its subpage 720-gon/edithistory. Articles copied from Draft Namespace on Wikipedia could be seen on the Draft Namespace of Wikipedia and not main one.