Global Information Lookup Global Information

Concave polygon information


An example of a concave polygon.

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]

  1. ^ McConnell, Jeffrey J. (2006), Computer Graphics: Theory Into Practice, p. 130, ISBN 0-7637-2250-2.
  2. ^ Leff, Lawrence (2008), Let's Review: Geometry, Hauppauge, NY: Barron's Educational Series, p. 66, ISBN 978-0-7641-4069-3
  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.
  4. ^ "Definition and properties of concave polygons with interactive animation".

and 26 Related for: Concave polygon information

Request time (Page generated in 0.7985 seconds.)

Concave polygon

Last Update:

A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have at least one reflex interior angle—that...

Word Count : 333

Polygon

Last Update:

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...

Word Count : 4287

Equilateral polygon

Last Update:

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...

Word Count : 547

Concave

Last Update:

Concave function, the negative of a convex function Concave polygon, a polygon which is not convex Concave set The concavity of a function, determined by its...

Word Count : 86

Concave function

Last Update:

resulting in diminishing returns to input factors. Concave polygon Jensen's inequality Logarithmically concave function Quasiconcave function Concavification...

Word Count : 1226

Star polygon

Last Update:

concave simple polygons. Polygrams include polygons like the pentagram, but also compound figures like the hexagram. One definition of a star polygon...

Word Count : 1624

Convex polygon

Last Update:

curve Concave polygon – Simple polygon which is not convex Convex polytope – Convex hull of a finite set of points in a Euclidean space Cyclic polygon – Points...

Word Count : 881

Polygon mesh

Last Update:

simple convex polygons (n-gons), since this simplifies rendering, but may also be more generally composed of concave polygons, or even polygons with holes...

Word Count : 2611

Rectilinear polygon

Last Update:

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...

Word Count : 1571

Convex set

Last Update:

non-convex set. A polygon that is not a convex polygon is sometimes called a concave polygon, and some sources more generally use the term concave set to mean...

Word Count : 3037

Reentrant

Last Update:

and pockets in military tactics Reentrant tuning in music Concave polygon, AKA reentrant polygon Reentry Reentrant dysrhythmia, a type of cardiac arrhythmia...

Word Count : 97

Internal and external angles

Last Update:

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...

Word Count : 444

Simple polygon

Last Update:

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...

Word Count : 3199

Quadrilateral

Last Update:

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...

Word Count : 6758

Bipyramid

Last Update:

{\pi }{n}}.} A concave bipyramid has a concave polygon base, and one example is a concave tetragonal bipyramid or an irregular concave octahedron. A bipyramid...

Word Count : 3665

Fan triangulation

Last Update:

properties: All convex polygons, but not all polygons, can be fan triangulated. Polygons with only one concave vertex can always be fan triangulated, as...

Word Count : 303

Angle

Last Update:

is part of a simple polygon is called an interior angle if it lies on the inside of that simple polygon. A simple concave polygon has at least one interior...

Word Count : 6722

Curve orientation

Last Update:

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)...

Word Count : 1483

Equiangular polygon

Last Update:

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...

Word Count : 2652

Isotoxal figure

Last Update:

{\displaystyle {\color {royalblue}^{\mathsf {o}}},} making convex or concave polygons respectively. A star 2 n {\displaystyle {\color {royalblue}{\mathbf...

Word Count : 868

Polygon triangulation

Last Update:

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...

Word Count : 1386

Octagram

Last Update:

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...

Word Count : 708

List of mathematical shapes

Last Update:

11-cell 57-cell Convex polygon Concave polygon Constructible polygon Cyclic polygon Equiangular polygon Equilateral polygon Regular polygon Penrose tile Polyform...

Word Count : 3577

General Polygon Clipper

Last Update:

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...

Word Count : 375

Convex hull

Last Update:

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...

Word Count : 7144

Sundial

Last Update:

special case of polar dials, in which the sharp edges of a prism of a concave polygon serve as the styles and the sides of the prism receive the shadow....

Word Count : 14043

PDF Search Engine © AllGlobal.net