Positive and negative Euler characteristic (Geometry and the Imagination)
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|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|
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