Keyword: Minimal Edge Number : Search

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Search name	Searched On	Run search
Keyword: Minimal Edge Number (1)	2 Apr 2025	Run
Keyword: Cryogenic Treatment (9)	2 Apr 2025	Run
Keyword: Gait Classification (1)	2 Apr 2025	Run
Keyword: Natural Frequencies (30)	2 Apr 2025	Run
Keyword: Trace Extrapolation (1)	2 Apr 2025	Run

articleNo Access
ON THE RELATIONSHIP BETWEEN MINIMAL LATTICE KNOTS AND MINIMAL CUBE KNOTS
- CASEY MANN and
- JENNIFER MCLOUD-MANN
Journal of Knot Theory and Its Ramifications01 Nov 2005
Preview Abstract
Lattice knots have been studied in recent years, especially in ℤ³ and with respect to how many edges are required to form a knot. Knots formed from cubes have also been investigated for their ability to tessellate space. In this article, we demonstrate that there is a relationship between the minimum number of edges required to form a lattice knot and the minimum number of cubes required to form the same kind of knot. We further investigate the relationship in the face-centered cubic lattice.

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