Crossed polygon information

crossed polygon by swapping the positions of two adjacent vertices. Crossed polygons are common as vertex figures of uniform star polyhedra. Crossed quadrilaterals...

solid polygons, a polygon may refer only to a simple polygon or to a solid polygon. A polygonal chain may cross over itself, creating star polygons and...

crossed polygons such as star polygons by using the concept of directed angles. In general, the interior angle sum in degrees of any closed polygon,...

In geometry, a star polygon is a type of non-convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not...

the rectangle, both special cases of crossed quadrilaterals. The interior of a crossed square can have a polygon density of ±1 in each triangle, dependent...

These polygons include as special cases the convex polygons, star-shaped polygons, and monotone polygons. The sum of external angles of a simple polygon is...

rectus (as an adjective, right, proper) and angulus (angle). A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite...

geometry, the point-in-polygon (PIP) problem asks whether a given point in the plane lies inside, outside, or on the boundary of a polygon. It is a special...

729034 Polygon Bikes is a bicycle's trade name made by PT Insera Sena, an Indonesian bicycle manufacturer based in Sidoarjo, East Java. Polygon operates...

simple polygon whose vertices are described by their Cartesian coordinates in the plane. It is called the shoelace formula because of the constant cross-multiplying...

graphics, polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes. Polygonal modeling...

and dodecagrammic crossed-antiprism, s{2,24/7} also have regular skew dodecagons. The regular icositetragon is the Petrie polygon for many higher-dimensional...

antiprisms are named by their star polygon bases, {p/q}, and exist in prograde and in retrograde (crossed) solutions. Crossed forms have intersecting vertex...

In geometry, a polygon P in the plane is called monotone with respect to a straight line L, if every line orthogonal to L intersects the boundary of P...

the applied forces are arranged as the edges of a polygon of forces or force polygon (see § Polygon of forces). Free body diagrams are used to visualize...

cocyclic) if they lie on a common circle. A polygon whose vertices are concyclic is called a cyclic polygon, and the circle is called its circumscribing...

geometry, an anthropomorphic polygon is a simple polygon with precisely two ears and one mouth. That is, for exactly three polygon vertices, the line segment...

24/5} and dodecagrammic crossed-antiprism, s{2,24/7} also have regular skew dodecagons. The regular dodecagon is the Petrie polygon for many higher-dimensional...

In geometry, a weakly simple polygon is a generalization of a simple polygon, allowing the polygon sides to touch each other in limited ways. Different...

is called variously a cross-quadrilateral, crossed quadrilateral, butterfly quadrilateral, or bow-tie quadrilateral. In a crossed quadrilateral, the four...

the facets. The Petrie polygon of a regular polygon is the regular polygon itself; that of a regular polyhedron is a skew polygon such that every two consecutive...

16/3} and octagrammic crossed-antiprism, s{2,16/5} also have regular skew octagons. The regular hexadecagon is the Petrie polygon for many higher-dimensional...

In geometry, a bicentric polygon is a tangential polygon (a polygon all of whose sides are tangent to an inner incircle) which is also cyclic — that is...

valleys", so the barrel bore has a polygonal (usually hexagonal or octagonal) cross-sectional profile. Polygonal riflings with a larger number of edges...