Danceability of twisted virtual knots
Sol Addison, Nancy Scherich, Lila Snodgrass
TL;DR
This paper extends the concept of danceability from traditional knot diagrams to twisted virtual knots, inspired by dancing on non-orientable surfaces, and includes a visual demonstration.
Contribution
It introduces a new framework for analyzing danceability in twisted virtual knots, expanding prior work on knot danceability to more complex surfaces.
Findings
Extended danceability to twisted virtual knots
Provided a visual Math-Dance video demonstration
Connected knot danceability with non-orientable surfaces
Abstract
Over the years, several Bridges papers have delved into the concept of danceability of a knot diagram. Inspired by dancing on non-orientable surfaces, in this paper, we expand danceability to twisted virtual knot diagrams. This paper is accompanied by a Math-Dance video which can be found at https://youtu.be/G4u2xMK-fxU.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Materials and Mechanics · Advanced Numerical Analysis Techniques