List of Mathematical Knots and Links - Links

Links

  • Borromean rings - three topological circles which are linked and form a Brunnian link
  • Brunnian link - a nontrivial link that becomes trivial if any component is removed
  • Hopf link - the simplest nontrivial link with more than one component; it consists of two circles linked together exactly once
  • Pretzel link - a Montesinos link with integer tangles
  • Solomon's knot (a "link" rather than a "knot" according to the conventions of the mathematical theory of knots) - a traditional decorative motif used since ancient times
  • Unlink - equivalent under ambient isotopy to finitely many disjoint circles in the plane
  • Whitehead link - two projections of the unknot: one circular loop and one figure eight-shaped loop intertwined such that they are inseparable and neither loses its form

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    The conclusion suggested by these arguments might be called the paradox of theorizing. It asserts that if the terms and the general principles of a scientific theory serve their purpose, i. e., if they establish the definite connections among observable phenomena, then they can be dispensed with since any chain of laws and interpretive statements establishing such a connection should then be replaceable by a law which directly links observational antecedents to observational consequents.
    —C.G. (Carl Gustav)