Regular Convex Polygons
All regular simple polygons (a simple polygon is one that does not intersect itself anywhere) are convex. Those having the same number of sides are also similar.
An n-sided convex regular polygon is denoted by its Schläfli symbol {n}.
- Henagon or monogon {1}: degenerate in ordinary space (Most authorities do not regard the monogon as a true polygon, partly because of this, and also because the formulae below do not work, and its structure is not that of any abstract polygon).
- Digon {2}: a "double line segment": degenerate in ordinary space (Some authorities do not regard the digon as a true polygon because of this).
Equilateral triangle {3} |
Square {4} |
Pentagon {5} |
Hexagon {6} |
Heptagon {7} |
Octagon {8} |
Enneagon {9} |
Decagon {10} |
|
Hendecagon or undecagon {11} |
Dodecagon {12} |
Tridecagon {13} |
Tetradecagon {14} |
Pentadecagon {15} |
Hexadecagon {16} |
Heptadecagon {17} |
Octadecagon {18} |
Enneadecagon {19} |
Icosagon {20} |
Triacontagon {30} |
Tetracontagon {40} |
Pentacontagon {50} |
Hexacontagon {60} |
Heptacontagon {70} |
Octacontagon {80} |
Enneacontagon {90} |
Hectogon {100} |
In certain contexts all the polygons considered will be regular. In such circumstances it is customary to drop the prefix regular. For instance, all the faces of uniform polyhedra must be regular and the faces will be described simply as triangle, square, pentagon, etc.
Read more about this topic: Regular Polygon
Famous quotes containing the word regular:
“This is the frost coming out of the ground; this is Spring. It precedes the green and flowery spring, as mythology precedes regular poetry. I know of nothing more purgative of winter fumes and indigestions. It convinces me that Earth is still in her swaddling-clothes, and stretches forth baby fingers on every side.”
—Henry David Thoreau (1817–1862)