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:
“While you’re playing cards with a regular guy or having a bite to eat with him, he seems a peaceable, good-humoured and not entirely dense person. But just begin a conversation with him about something inedible, politics or science, for instance, and he ends up in a deadend or starts in on such an obtuse and base philosophy that you can only wave your hand and leave.”
—Anton Pavlovich Chekhov (1860–1904)