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 to have been formally defined, certain notable ones can arise through truncation operations on regular simple or star polygons.

A star polygon {p/q}, with p,q positive integers, is a figure formed by connecting with straight lines every qth point out of p regularly spaced points lying on a circumference. The number q is called the polygon density of the star polygon.

正星形多角形(regular star polygon)亦称等边半正凹多角形或等边半正凹多边形，是一种特殊的凹多角形，指顶点个数为偶数，所有边都相等，且相间的角相等的凹多角形，正星形多角形的2n个角中，有n个相等的优角，另外n个角必是相等的锐角，整个图形成为星形 ...

In geometry, a regular star polygon is a self-intersecting, equilateral equiangular polygon, created by connecting one vertex of a simple, regular, n-sided polygon to another, non-adjacent vertex and continuing the process until the original vertex is reached again.

In geometry, a star-shaped polygon is a polygonal region in the plane that is a star domain, that is, a polygon that contains a point from which the entire polygon boundary is visible. Formally, a polygon P is star-shaped if there exists a point z such that for each point p of P the segment ⁠ z p ¯ {\displaystyle {\overline {zp}}} ⁠ lies ...

2022年10月23日 · A star polygon is a special type of self-intersecting polygon that creates a star shape. It is formed from the same vertices as a convex polygon, but the vertices are connected in a different order.

Part B, “Star Polygons and Number Theory Investigations”, defines a star polygon and explains the meaning of the notation ,star (n,s). This part of the activity investigates patterns of various star polygons, compares them to regular polygons, and relates their characteristics to the Greatest Common Factor and cyclic patterns. A.

2008年9月19日 · Star Polygons Starting with p ( p a positive integer) equally distributed dots (vertices) around a circle. Connecting each dot to the next as you move around the circle will give you a regular p -gon - a p -sided polygon with p vertices.

Exploring Star Polygons Draw 5 points (A through E) in a circular path clockwise Connect every second point to get Lines AC, CE, EB, BD, and DA measure the five angles A through E at the star points Draw the vertex of the star and observe what happens to the angle measures (They increase and decrease) Copy the table on the next page repeat ...

2012年1月26日 · Star polygons feature prominently is art, religion, and culture. For instance, {5/2} Pentagrams, and {7/2}, {7/3} Heptagrams, have been historically associated with magic and the occult. The {6/2} Hexagram is the Star of David, and the {8/2} Octagram is used by Hindu's to symbolise Ashtalakshmi.