REENTERING POLYGON Meaning and
Definition
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A reentering polygon is a geometric shape that has at least one inward-pointing angle or corner. Unlike a convex polygon, which has all angles pointing outward, a reentering polygon has angles that fold inward, creating concave angles within the shape. This feature results in at least one "reentrant angle," which is an angle greater than 180 degrees.
To understand this concept, imagine a closed shape formed by straight sides. If, when traversing the perimeter of the shape, you encounter an angle that "folds back" into the interior of the shape, you have encountered a reentering angle. This creates a visually distinctive feature, as the inward-pointing angle seems to penetrate or re-enter the shape instead of expanding away from it.
Reentering polygons can have different numbers of sides and very diverse shapes. They can range from simple concave quadrilaterals to intricate, irregular polygons with numerous concave angles. Due to their unique properties, reentering polygons often lead to interesting mathematical investigations and geometrical problem-solving.
In summary, a reentering polygon is a polygonal shape with at least one inward-pointing angle. These polygons stand in contrast to convex polygons, as they have concave angles within their structure. The presence of reentrant angles defines and characterizes these intricate geometrical shapes.
Common Misspellings for REENTERING POLYGON
- eeentering polygon
- deentering polygon
- feentering polygon
- teentering polygon
- 5eentering polygon
- 4eentering polygon
- rwentering polygon
- rsentering polygon
- rdentering polygon
- rrentering polygon
- r4entering polygon
- r3entering polygon
- rewntering polygon
- resntering polygon
- redntering polygon
- rerntering polygon
- re4ntering polygon
- re3ntering polygon
- reebtering polygon
Etymology of REENTERING POLYGON
The etymology of the term "reentering polygon" is derived from the combination of two words: "reentering" and "polygon".
1. Reentering: The word "reentering" comes from the verb "re-enter", which is formed by adding the prefix "re-" (meaning "again" or "back") to the base word "enter". The term describes something that enters again or goes back into a particular space or area. In the context of geometry, it specifically refers to a polygon that has at least one internal angle greater than 180 degrees, causing a portion of the shape to dip inward.
2.gon: The word "polygon" is derived from the Greek words "poly-" (meaning "many") and "gōnia" (meaning "angle"). Together, they form "polygon", which refers to a closed plane figure with straight sides made up of multiple line segments or edges.
Similar spelling words for REENTERING POLYGON
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