Snub (geometry)

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/snub-geometry

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 geometric transformation sequence?Involves face expansion, rotational twisting, vertex polygon addition, and edge triangle insertion
2. What is the historical originator?Johannes Kepler, who named the snub cube and snub dodecahedron
3. What is a snub polyhedron?A snub polyhedron is a shape made by twisting and adding new parts to an existing shape, giving it more faces and a special kind of symmetry.
4. How do you make a snub shape?First you stretch the faces apart, then twist each face, add new polygons at the old corners, and finally put triangles along the old edges.

Polyhedron: A three-dimensional geometric object with flat polygonal faces, straight edges, and sharp corners or vertices.
Chirality: The property of a geometric object or molecule that makes it non-superimposable on its mirror image.
Uniform Polytope: A polytope whose symmetry group acts transitively on its flags, meaning all vertices, edges, and faces are equivalent under symmetry operations.
Enantiomorphs: A pair of molecules or crystals that are mirror images of each other and cannot be superimposed.