University of Twente Student Theses


Infinitely rolling polyhedra : Extending a model for rolling polyhedra

Gortemaker, J.H.J. (2022) Infinitely rolling polyhedra : Extending a model for rolling polyhedra.

[img] PDF
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:
Export this item as:BibTeX
HTML Citation
Reference Manager


Repository Staff Only: item control page