Schedule
We will meet 3 – 5 pm on Thursdays.
Place unspecified because of safety reasons.
About
We will study different topics in mathematics via origami. Some of them are related to origami itself as the object of study and others are going to use origami as their inspiration.
Bibliography
| 1. Twists, Tilings and Tessellations. Mathematical Methods for Geometric Origami. Robert J. Lang |
| 2. Geometric Folding Algorithms. Linkages, Origami, Polyhedra. Erik D. Demaine and Joseph O’Rourke |
| 3. Origami Desing Secrets. Mathematical Methods for an Ancient Art. Robert J. Lang |
| 4. How to fold it. The Mathematics of Linkages, Origami and Polyhedra. Joseph O’ Rourke. |
| 5. Origami 5 Fifth International Meeting of Origami Science, Mathematics and Education. |
| 6. Origami 6 Sixth International Meeting of Origami Science, Mathematics and Education. |
Logbook
| Date | What did we do? | Notes |
|---|---|---|
| January 9 | 1. We discussed a vague idea of the contexts of the course. 2. We discussed the concepts of flat-foldability and the type of crease patterns we obtain. We saw examples. 3. We proved the Kawasaki – Justin Theorem ([1], Section 1.2.1). 4. Discussed local vs global conditions. 5. Discussed that Kawasaki – Justin Theorem is a particular case of a more general results of Riemannian Manifolds. | |
| January 16 | We skipped this class because there was another seminar we wanted to see at the same time. | |
| January 23 | 1. We discussed the five classical axiomes of Euclidean Geometry. In particular, we paid close attention to the fifth postulate. 2. We discussed different ways to change this postulate and how it is related to curvature. 3. We defined Gaussian Curvature, slightly vaguely, but saw several examples of what it means. 4. We talked about the Egregium Theorem of Gauss and the Gauss-Bonet theorem. 5. We discussed how this related to the two particular cases of spherical and hyperbolic classical geometries. In particular, we paid attention to their implications in the shape and angles of triangles. 6. We mentioned that this is relevant to us because for some origami criterias/constructions we will need to use these two geometries. | |
| January 30 |
Extra material (some are videos I find incredible).
Malors 