In geometry, a skew polygon is a closed polygonal chain in Euclidean space. It is a figure similar to a polygon except its vertices are not all coplanar...

length). Regular polygons may be either convex, star or skew. In the limit, a sequence of regular polygons with an increasing number of sides approximates a...

an infinite skew polygon or skew apeirogon is an infinite 2-polytope with vertices that are not all colinear. Infinite zig-zag skew polygons are 2-dimensional...

self-intersecting polygons. Some sources also consider closed polygonal chains in Euclidean space to be a type of polygon (a skew polygon), even when the...

distribution Skew field or division ring Skew-Hermitian matrix Skew lattice Skew polygon, whose vertices do not lie on a plane Infinite skew polyhedron Skew-symmetric...

symmetry. The polygons on the perimeter of these projections are regular skew decagons. The regular skew decagon is the Petrie polygon for many higher-dimensional...

is a skew polygon with 12 vertices and edges but not existing on the same plane. The interior of such a dodecagon is not generally defined. A skew zig-zag...

In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every n – 1 consecutive sides (but no n) belongs to one...

triangular antiprism) have regular skew hexagons as petrie polygons. The regular skew hexagon is the Petrie polygon for these higher dimensional regular...

are infinitely many regular skew polygons. Skew polygons can be created via the blending operation. The blend of two polygons P and Q, written P#Q, can...

up to 16-fold rotations and chiral forms in reflection. A skew hexadecagon is a skew polygon with 24 vertices and edges but not existing on the same plane...

quasitruncations: t{12/11}={24/11}, and t{12/7}={24/7}. A skew icositetragon is a skew polygon with 24 vertices and edges but not existing on the same plane...

direct. An indirect equiangular polygon can include angles turning right or left in any combination. A skew equiangular polygon may be isogonal, but can't...

squares and rhombs are used in the Ammann–Beenker tilings. A skew octagon is a skew polygon with eight vertices and edges but not existing on the same plane...

are regular skew polygons, vertices zig-zagging between two planes. Finite regular skew polyhedra exist in 4-space. These finite regular skew polyhedra...

figures. In 1926 John Flinders Petrie took the concept of a regular skew polygons, polygons whose vertices are not all in the same plane, and extended it to...

distinction between a polygonal area and a polygonal chain. A space closed polygonal chain is also known as a skew "polygon". A polygonal chain is called monotone...

known as the "Petrie polygon" and has many applications. The Petrie polygon of a regular polyhedron can be defined as the skew polygon (whose vertices do...

Flinders Petrie generalized the concept of regular skew polygons (nonplanar polygons) to regular skew polyhedra. Coxeter offered a modified Schläfli symbol...

a "zigzag line" form by using seismograph. Serpentine shape Infinite skew polygon Liberman, Anatoly (2009). Word Origins...And How We Know Them: Etymology...

or less. A skew polygon is a polygon whose vertices are not coplanar. Such a polygon must have at least four vertices; there are no skew triangles. A...

of shapes with metaphorical names Lists of shapes Shape factor Size Skew polygon Solid geometry Region (mathematics) Kendall, D.G. (1984). "Shape Manifolds...

surface. Skew apeirohedra have also been called polyhedral sponges. Many are directly related to a convex uniform honeycomb, being the polygonal surface...

tesseract, they form zig-zag Petrie polygons instead. The 120-cell's Petrie polygon is a triacontagon {30} zig-zag skew polygon. Since the 120-cell has a circumference...

rectangle with two equal opposite sides and two diagonals of a square. Skew polygon Coxeter, H.S.M., M. S. Longuet-Higgins and J.C.P Miller, Uniform Polyhedra...

Polyhedron Stereoscopy (3-D imaging) 3-manifold Axis of rotation Knots Skew lines Skew polygon Volume 4 dimensions Spacetime Fourth spatial dimension Convex regular...

type of a right symmetric di-n-gonal bipyramid, with a regular zigzag skew polygon base. A regular right symmetric di-n-gonal scalenohedron has n two-fold...

5/2-antiprisms. Grand antiprism, a four-dimensional polytope Skew polygon, a three-dimensional polygon whose convex hull is an antiprism Kepler, Johannes (1619)...

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...

generate a compound regular skew polygon, with 3 skew squares. Each tetrahedron contains one skew square. This regular compound polygon containing the same symmetry...