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Infinitely rolling polyhedra : Extending a model for rolling polyhedra
Gortemaker, J.H.J. (2022) Infinitely rolling polyhedra : Extending a model for rolling polyhedra.
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| Abstract: | When a convex polyhedron is constructed and placed upon a slanted plane it can roll from face to face. It does this obeying the laws of physics, continuously lowering its centre of gravity. In this process it is assumed the polyhedron loses all its momentum when landing on its new resting face. Under the right conditions the convex polyhedron can roll forever. I show what the minimum number of required faces is to achieve this and I show an upper bound for which it is definitely possible to have a convex polyhedron that rolls indefinitely. |
| Item Type: | Essay (Bachelor) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics |
| Programme: | Applied Mathematics BSc (56965) |
| Link to this item: | https://purl.utwente.nl/essays/89653 |
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