A simple polygon that is not convex is called concave,[1]non-convex[2] or reentrant.[3] A concave polygon will always have at least one reflex interior angle—that is, an angle with a measure that is between 180 degrees and 360 degrees exclusive.[4]
^McConnell, Jeffrey J. (2006), Computer Graphics: Theory Into Practice, p. 130, ISBN 0-7637-2250-2.
^Leff, Lawrence (2008), Let's Review: Geometry, Hauppauge, NY: Barron's Educational Series, p. 66, ISBN 978-0-7641-4069-3
^Mason, J.I. (1946), "On the angles of a polygon", The Mathematical Gazette, 30 (291), The Mathematical Association: 237–238, doi:10.2307/3611229, JSTOR 3611229.
^"Definition and properties of concave polygons with interactive animation".
A simple polygon that is not convex is called concave, non-convex or reentrant. A concavepolygon will always have at least one reflex interior angle—that...
that passes outside the polygon. Simple: the boundary of the polygon does not cross itself. All convex polygons are simple. Concave: Non-convex and simple...
a regular polygon. If the number of sides is at least five, an equilateral polygon does not need to be a convex polygon: it could be concave or even self-intersecting...
Concave function, the negative of a convex function Concavepolygon, a polygon which is not convex Concave set The concavity of a function, determined by its...
resulting in diminishing returns to input factors. Concavepolygon Jensen's inequality Logarithmically concave function Quasiconcave function Concavification...
concave simple polygons. Polygrams include polygons like the pentagram, but also compound figures like the hexagram. One definition of a star polygon...
curve Concavepolygon – Simple polygon which is not convex Convex polytope – Convex hull of a finite set of points in a Euclidean space Cyclic polygon – Points...
simple convex polygons (n-gons), since this simplifies rendering, but may also be more generally composed of concavepolygons, or even polygons with holes...
number of concave corners. To see why, imagine that you traverse the boundary of the polygon clockwise (with your right hand inside the polygon and your...
non-convex set. A polygon that is not a convex polygon is sometimes called a concavepolygon, and some sources more generally use the term concave set to mean...
and pockets in military tactics Reentrant tuning in music Concavepolygon, AKA reentrant polygon Reentry Reentrant dysrhythmia, a type of cardiac arrhythmia...
the polygon. In other words, the sum of all the exterior angles is 2πk radians or 360k degrees. Example: for ordinary convex polygons and concave polygons...
angle is positive at a convex vertex or negative at a concave vertex. For every simple polygon, the sum of the external angles is 2 π {\displaystyle 2\pi...
In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri...
{\pi }{n}}.} A concave bipyramid has a concavepolygon base, and one example is a concave tetragonal bipyramid or an irregular concave octahedron. A bipyramid...
properties: All convex polygons, but not all polygons, can be fan triangulated. Polygons with only one concave vertex can always be fan triangulated, as...
is part of a simple polygon is called an interior angle if it lies on the inside of that simple polygon. A simple concavepolygon has at least one interior...
concavity. For example, in the polygon pictured above, if we wanted to know whether the sequence of points F-G-H is concave, convex, or collinear (flat)...
this represents a w-wound (p/w)/(q/w) star polygon, which is degenerate for the regular case. A concave indirect equiangular (pr+pl)-gon, with pr right...
{\displaystyle {\color {royalblue}^{\mathsf {o}}},} making convex or concavepolygons respectively. A star 2 n {\displaystyle {\color {royalblue}{\mathbf...
algorithms, and it only works on polygons without holes. An implementation that keeps separate lists of convex and concave vertices will run in O(n2) time...
the free dictionary. In geometry, an octagram is an eight-angled star polygon. The name octagram combine a Greek numeral prefix, octa-, with the Greek...
concave or self-intersecting. Contours may be nested. In other words, polygons may have holes. The clip operation output from GPC is a set of polygon...
convex hull of a simple polygon encloses the given polygon and is partitioned by it into regions, one of which is the polygon itself. The other regions...
special case of polar dials, in which the sharp edges of a prism of a concavepolygon serve as the styles and the sides of the prism receive the shadow....