Dual polygon

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/dual-polygon

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. What is the applications in science and technology?Used in crystallography, graph theory, computer graphics, and computational geometry
2. How does a triangle's dual look?A triangle has three corners and three sides, so its dual is also a triangle. The corners of the first triangle become the sides of the second, but the shape still looks like a triangle.
3. Why do dual polygons have the same number of corners and sides?Because the rule that turns corners into sides and sides into corners keeps the count the same. If the first shape has n corners and n sides, the dual will also have n corners and n sides.

Incidence: The relationship between geometric elements, such as a point lying on a line or an edge meeting a vertex.
Projective Transformation: A transformation that preserves lines and their order, fundamental in projective geometry.
Graph Theory: The study of graphs, which are mathematical structures used to model pairwise relations between objects.