Positive and negative Euler characteristic (Geometry and the Imagination)
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Conway, Doyle, Gilman, Thurston; The Geometry Center|
|A symmetry pattern on the sphere always gives rise to a quotient orbifold with positive Euler characteristic. In fact, if the order of symmetry is k, then the Euler characteristic of the quotient orbifold is 2/k, since the Euler characteristic of the sphere is 2. However, the converse is not true...|
|Levels:||Middle School (6-8), High School (9-12), College|
|Resource Types:||Lesson Plans and Activities|
|Math Topics:||Non-Euclidean Geometry, Symmetry/Tessellations|
The Math Forum is a research and educational enterprise of the Drexel University School of Education.