What's the meaning of the Borromean Rings »

Borromean Rings

This page is about the meaning, origin and characteristic of the symbol, emblem, seal, sign, logo or flag: Borromean Rings.

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In mathematics, the Borromean rings consist of three topological circles which are linked and form a Brunnian link (i.e., removing any ring results in two unlinked rings). In other words, no two of the three rings are linked with each other as a Hopf link, but nonetheless all three are linked.

Although the typical picture of the Borromean rings (above right picture) may lead one to think the link can be formed from geometrically ideal circles, they cannot be. Freedman and Skora (1987) prove that a certain class of links, including the Borromean links, cannot be exactly circular. Alternatively, this can be seen from considering the link diagram: if one assumes that circles 1 and 2 touch at their two crossing points, then they either lie in a plane or a sphere.

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Graphical characteristics:
Symmetric, Closed shape, Colorful, Contains curved lines, Has crossing lines.

Category: Mathematical Symbols.

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    "Borromean Rings." Symbols.com. STANDS4 LLC, 2024. Web. 7 Oct. 2024. <https://www.symbols.com/symbol/borromean-rings>.

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