Regular polygons
From Encyclopedia of Mathematics
Polygons all angles of which are equal and all sides of which are equal. Cf. Polygon for more details.
Comments
In other words, a regular polygon is a polygon whose vertices all lie on one circle while its sides all touch a concentric circle. If the polygon is convex and has vertices, it is called an
-gon, and is denoted by
. If it is non-convex and its
sides surround its centre
times, it is called a star polygon, or a star
-gon of density
, and is denoted by
. For instance, the pentagram is
.
References
[a1] | H.S.M. Coxeter, "Regular complex polytopes" , Cambridge Univ. Press (1990) pp. Chapt. 1 |
How to Cite This Entry:
Regular polygons. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Regular_polygons&oldid=12006
Regular polygons. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Regular_polygons&oldid=12006