Polygonal chain

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/polygonal-chain

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. How big is Polygonal chain?Foundation for polygonal meshes in computer graphics and 3D modeling
2. What is the mathematical classification?A piecewise linear continuous curve
3. What is the historical context?Roots in ancient geometry, formalized with analytic geometry and computational geometry
4. How can a polygonal chain be open or closed?If the first and last points are different, the chain is open. If they are the same point, the chain is closed and forms a polygon.
5. Why do computers use polygonal chains?Computers use them to build 3‑D objects in games and design programs. By joining many small straight pieces, they can draw complex shapes quickly.

Polyline: An alternative name for a polygonal chain, emphasizing its multiple line segments.
Vertex (plural: Vertices): A point where two or more line segments of the chain intersect.
Piecewise Linear Function: A function whose graph is composed of straight line segments.
Computational Geometry: A branch of computer science that studies algorithms for geometric problems.