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This result establishes, considering prime-power regular polygons less than the 100-gon, that it is impossible to construct the 23-, 29-, 43- ...th an auxiliary curve|auxiliary curves]]; yet this is true for all regular polygons.<ref>{{cite journal ...

...visibility]], decompositions of polygons, [[Covering problems|coverings of polygons]], triangulations and triangulation algorithms, and higher-dimensional gene ...-shaped polygon]]s, spiral polygons, and [[monotone polygon]]s; non-simple polygons; prison yard problems, in which the guards must view the exterior, or both ...

...fferent method for producing nets that does not always produce star-shaped polygons.{{r|gfa}} [[Category:Polygons]] ...

In particular this is true for regular polygons with evenly many sides, in which case the parallelograms are all rhombi. Fo ==Related polygons== ...

In [[computational geometry]], the '''star unfolding''' of a [[convex polyhedron]] is a [[Net (polyhedron)|net]] obtai In more detail, the star unfolding is obtained from a polyhedron <math>P</math> by choosing a starti ...

[[File:Star polygon 9 4.png|thumb|The boundary of the regular [[Enneagram (geometry)|en In [[geometry]], the '''density''' of a [[star polyhedron]] is a generalization of the concept of [[winding number]] from ...

...finding a smallest set covering is NP-complete, but for special classes of polygons, a smallest polygon covering can be found in polynomial time. ...142/S021819599600006X| title = A Linear-Time Algorithm for Covering Simple Polygons with Similar Rectangles| journal = International Journal of Computational G ...

[[File:Polygons with holes.png|thumb|upright=1.6|Polygons with holes, with simply connected brown regions and interior boundaries, in | image1 = Not-star-shaped.png ...

...ling]]s of the [[Euclidean plane]] [[Tiling by regular polygons|by regular polygons]], containing regular [[triangle]]s, [[square]]s, and [[dodecagon]]s, arran ...omorphic]] to the ambo operation on the tiling, with the cyan and pink gap polygons corresponding to the cyan and pink circles (one dimensional duals to the re ...

The megagon is also used as an illustration of the convergence of regular polygons to a circle.<ref>{{Cite book |last=Russell |first=Bertrand |url=https://boo ...500,000 that is [[coprime]] to 1,000,000. There are also 300,000 regular [[star figure]]s in the remaining cases. ...

* In [[VLSI]] artwork data processing, layouts are represented as polygons, and one approach to preparation for electron-beam lithography is to decomp ...example. A strategy for solving some of these types of problems on general polygons is to decompose the polygon into simple component parts, solve the problem ...

...itetrahedra are near-[[Sphere|spherical]], but are not composed of regular polygons. A minimum of 14 vertices is required to form a icositetahedron.<ref>{{Cit 27 [[List of uniform polyhedra|uniform star-polyhedral duals]]: (self-intersecting) ...

==== Polygons ==== ...ffrey |last2=Shepard |author-link2=G.C. Shephard |title=Tilings by Regular Polygons |date=November 1977 |url=http://www.maa.org/sites/default/files/images/uplo ...

...ersecting]]. A self-intersecting ''regular pentagon'' (or ''[[star polygon|star]] pentagon'') is called a [[pentagram]]. ...1=Meskhishvili |first1=Mamuka |date=2020 |title=Cyclic Averages of Regular Polygons and Platonic Solids |url=https://www.rgnpublications.com/journals/index.php ...

There are six [[Convex polytope|convex]] and ten [[star polytope|star]] regular 4-polytopes, giving a total of sixteen. Schläfli also found four of the regular star 4-polytopes: the [[grand 120-cell]], [[great stellated 120-cell]], [[grand ...

...y_a_star-like_quadrilateral.png|thumb|center|400px|Cyclogon generated by a star-like quadrilateral]] ...another regular polygonal disk with m sides. The edges of the two regular polygons are assumed to have the same length. A point z attached rigidly to the n-go ...

{{Short description|5-sided star shaped polygon}} '''''Pentagramma mirificum''''' ([[Latin]] for "miraculous pentagram") is a [[star polygon]] on a [[sphere]], composed of five [[great circle]] [[arc (geometr ...

|[[File:Equilateral_pentagon-decatile2.svg|100px]]<BR>Regular star<BR>[[pentagram]]<BR>(36°) ...ef>De Villiers, Michael, "Equiangular cyclic and equilateral circumscribed polygons", [[Mathematical Gazette]] 95, March 2011, 102-107.</ref> ...

...that are in [[general position]], meaning that no three are on a line.{{r|star-shaped}} With this assumption, the angle between two consecutive segments o ...ygon]] through all the given points, with <math>q</math> in its kernel.{{r|star-shaped}} The same idea of sorting points radially around a central point is ...

...s Petrie]] generalized the concept of [[regular skew polygon]]s (nonplanar polygons) to ''regular skew polyhedra''. ...rs and relations for discrete groups, Sec 8.6 Maps having specified Petrie polygons. p. 110</ref> ...