720gon
Regular 720gon  

Type  Regular polygon 
Edges and vertices  720 
Schläfli symbol  {720}, t{360}, tt{180}, ttt{90}, tttt{45} 
Coxeter diagram 

Symmetry group  Dihedral (D_{720}), order 2×720 
Internal angle (degrees)  179.5° 
Dual polygon  Self 
Properties  Convex, cyclic, equilateral, isogonal, isotoxal 
In geometry, a 720gon is a polygon with 720 sides.
Regular 720gon properties[edit  edit source]
A regular 720gon is represented by Schläfli symbol {720} and also can be constructed as a truncated 360gon, t{360}, or a twicetruncated 180gon, tt{180}, or a threefoldtruncated 90gon, ttt{90}, or a fourfoldtruncated 45gon, tttt{45}.
One interior angle in a regular 720gon is 179.5°, meaning that one exterior angle would be 0.5°.
Since 720 = 2^{4} × 3^{2} × 5, a regular 720gon 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]
 Monogon (1sided)
 Digon (2sided)
 Triangle (3sided)
 Quadrilateral (4sided)
 Pentagon (5sided)
 Hexagon (6sided)
 Octagon (8sided)
 Nonagon (9sided)
 Decagon (10sided)
 Dodecagon (12sided)
 Pentadecagon (15sided)
 Hexadecagon (16sided)
 Octadecagon (18sided)
 Icosagon (20sided)
 Icositetragon (24sided)
 Triacontagon (30sided)
 Triacontahexagon (36sided)
 Tetracontagon (40sided)
 Tetracontapentagon (45sided)
 Tetracontaoctagon (48sided)
 hexacontagon (60sided)
 heptacontadigon (72sided)
 octacontagon (80sided)
 enneacontagon (90sided)
 120gon
 144gon
 180gon
 240gon
 360gon
 apeirogon (∞sided)
 circle
References[edit  edit source]
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