A “polygram” is a geometric figure or shape that consists of multiple intersecting lines or line segments arranged in a specific pattern. Polygrams can take various forms and are often classified based on the number of lines, the angles between the lines, and the symmetry of the arrangement.
Here are a few common types of polygrams:
- Regular Polygon: A regular polygon is a type of polygram in which all sides are of equal length, and all interior angles are equal. Common examples include the regular triangle, square, pentagon, hexagon, and so on.
- Star Polygon: A star polygon is formed by connecting every nth point of a regular polygon to create a star-like shape. The number of points connected and the value of n determine the type and complexity of the star polygon.
- Pentagram: A pentagram is a five-pointed star polygon created by connecting every second vertex of a regular pentagon. It is often associated with symbolism and is commonly used in various cultural and religious contexts.
- Hexagram: A hexagram is a six-pointed star polygon formed by connecting every second vertex of a regular hexagon. It is notably used in the Star of David, a symbol in Judaism.
- Nonagram: A nonagram is a nine-pointed star polygon created by connecting every third vertex of a regular nonagon.
- Regular Convex Polygram: This type of polygram is formed by connecting the vertices of a regular polygon in a particular way to create a symmetric, star-like shape. For example, a regular pentagram is a convex polygram.
- Irregular Polygram: An irregular polygram is formed by connecting the vertices of an irregular polygon, and it may not have the same degree of symmetry as regular polygrams.
Polygrams often have interesting properties related to symmetry, angles, and the relationships between their components. They are commonly used in mathematics, art, and design for their aesthetic and geometric appeal. Additionally, polygrams can have cultural and symbolic significance in various contexts.