# Symmetry Group of a Buckyball Torus

Not what you're looking for?

Find the symmetries of an origami buckyball torus using the Orbit-Stabilizer Theorem.

The torus has 96 vertices, 24 heptagon faces, 48 hexagon faces, 24 pentagon faces.

The torus is made from 288 pentagon-hexagon-zig-zag units (PHiZZ units)

##### Purchase this Solution

##### Solution Summary

In this solution, we compute the symmetry group of a buckyball torus.

##### Solution Preview

The symmetry group G of the torus has three generators, a 30-degree counterclockwise rotation a about the central axis, a reflection b about the plane ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability