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Full-Text Articles in Physics
Knot Theory In Virtual Reality, Donald Lee Price
Knot Theory In Virtual Reality, Donald Lee Price
Masters Theses & Specialist Projects
Throughout the study of Knot Theory, there have been several programmatic solutions to common problems or questions. These solutions have included software to draw knots, software to identify knots, or online databases to look up pre-computed data about knots. We introduce a novel prototype of software used to study knots and links by using Virtual Reality. This software can allow researchers to draw links in 3D, run physics simulations on them, and identify them. This technique has not yet been rigorously explored and we believe it will be of great interest to Knot Theory researchers. The computer code is written …
Generating Random Walks And Polygons With Thickness In Confinement, Sai Sindhuja Veeramachaneni
Generating Random Walks And Polygons With Thickness In Confinement, Sai Sindhuja Veeramachaneni
Masters Theses & Specialist Projects
Algorithms to generate walks (chains of unit-length, freely-jointed segments) and polygons (closed walks) in spherical confinements have been developed in the last few years. These algorithms generate polygons inside spherical confinement based on their mathematically derived probability distributions. The generated polygons do not occupy any volume { although that would be useful for some applications. This thesis investigates how to generate walks and polygons which occupy some volume in spherical confinement. More specifically, in this thesis, existing methods described in the literature have been studied and implemented to generate walks and polygons in confinement. Additionally, these methods were adapted to …