720-gon
| Regular 720-gon | |
|---|---|
| Type | Regular polygon |
| Edges and vertices | 720 |
| Schläfli symbol | {720}, t{360}, tt{180}, ttt{90}, tttt{45} |
| Coxeter diagram |        |
| 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]
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]
- Monogon (1-sided)
- Digon (2-sided)
- Triangle (3-sided)
- Quadrilateral (4-sided)
- Pentagon (5-sided)
- Hexagon (6-sided)
- Octagon (8-sided)
- Nonagon (9-sided)
- Decagon (10-sided)
- Dodecagon (12-sided)
- Pentadecagon (15-sided)
- Hexadecagon (16-sided)
- Octadecagon (18-sided)
- Icosagon (20-sided)
- Icositetragon (24-sided)
- Triacontagon (30-sided)
- Triacontahexagon (36-sided)
- Tetracontagon (40-sided)
- Tetracontapentagon (45-sided)
- Tetracontaoctagon (48-sided)
- hexacontagon (60-sided)
- heptacontadigon (72-sided)
- octacontagon (80-sided)
- enneacontagon (90-sided)
- 120-gon
- 144-gon
- 180-gon
- 240-gon
- 360-gon
- apeirogon (∞-sided)
- circle
References[edit]
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