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Coordinate
knots
Allison Henrich, Sriram Kutty and Grace Tan |
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Vol. 18 (2025), No. 3, 517–538
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Abstract |
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Coordinate knots are knot-like objects represented by two-dimensional diagrams. As the name suggests, these diagrams are placed on the Cartesian plane; line segments of a coordinate knot are all placed on the integer gridlines. Coordinate knots are similar to rectangular arc-presentations as well as quantum mosaic knots, though they are constructed in a different way. Because they are a new representation of knots, there is still much to be asked and answered. This paper serves as a foundation for coordinate knot theory. |
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Keywords
knot, grid diagram, mosaic knots, integer lattice
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Mathematical Subject Classification
Primary: 57K10
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Milestones
Received: 13 September 2023
Revised: 11 December 2023
Accepted: 13 December 2023
Published: 28 April 2025
Communicated by Colin Adams
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Authors |
| Allison Henrich | |
| Mathematics Department Seattle University Seattle, WA United States |
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| Sriram Kutty | |
| University of Washington Seattle, WA United States |
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| Grace Tan | |
| Redmond High School Redmond, WA United States |
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| © 2025 MSP (Mathematical Sciences Publishers). |
