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Aug 15, 2024 · Polygram. A regular polygram is generalization of a (regular) polygon on sides (i.e., an -gon) obtained by connecting every th vertex around a circle with every th, "picking up" the pencil as needed to repeat the procedure after traversing the circle until none of the vertices remain unconnected.
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In geometry, a generalized polygon can be called a polygram, and named specifically by its number of sides. All polygons are polygrams, but they can also include disconnected sets of edges, called a compound polygon.
Definition. A regular polygon has all sides the same length and all angles the same measure. For example, squares are regular quadrilaterals — all four sides are the same length, and all four angles measure 90°. But a non-square rectangle is not regular. Even though all of the angles are 90°, the sides are not all the same length.
In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices (or corners) of a polygon. Here are a few examples of polygons.
- A diagonal of a polygon is a line segment connecting two non-consecutive vertices (corners).
- A Regular polygon has all sides of equal length and each angle also measures equal.
- Polygon is a closed shape made up of straight-line segments. The circle is a closed figure but it is made of a curve. So, a circle is not a polygon.
- A polygon must have a minimum of three sides.
- No, polygons have the same number of sides and angles because they are closed figures with non-intersecting lines.
This geometry video tutorial provides a basic introduction into polygons. It explains how to identify if a figure is a regular polygon from those that are not polygons. Polygons have a 2D shape...
- 23 min
- 282.5K
- The Organic Chemistry Tutor
Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up). Polygon comes from Greek. Poly- means "many" and -gon means "angle".