Dodecahedron

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/dodecahedron

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 number of faces?12
2. What is the face shape (regular)?Regular pentagons
3. Why is the dodecahedron special in geometry?It has a very high level of symmetry, with each corner looking the same and all faces being regular pentagons. Its symmetry group is called the icosahedral group, which also describes the icosahedron.
4. Where did people first study the dodecahedron?Ancient Greek mathematicians, such as Euclid, wrote about its properties. Plato even linked it to the structure of the universe in his dialogue "Timaeus."

Convex Polyhedron: A polyhedron where for every pair of points, the line segment connecting them is entirely contained within the polyhedron.
Platonic Solid: A convex regular polyhedron whose faces are congruent regular polygons and whose vertices are all identical.
Vertex Figure: The polygon formed by connecting the midpoints of the edges incident to a vertex.
Catalan Solid: A polyhedron that is the dual of a uniform Archimedean solid; they have congruent faces but are not necessarily regular polygons.