MATHS BITE: Hopf Links

In knot theory, a Hopf link is the simplest link with more than one component. A Hopf link is created when two circles are linked together exactly once. Hence, it has a linking number of ±1 (depending on the orientation).

HopfLink_1000.gif

Hopf Link | Source: Wolfram MathWorld

It is named after Heinz Hopf, a German mathematician, who discussed it in 1931 as part of his research on Hopf fibration. However, it was known to Gauss before Hopf’s work and had also been used outside of mathematics, for example as the crest of Buzan-ha, which was a “Japanese Buddhist sect founded in the 16th century“.

Buzan-ha Crest | Source: Wikipedia

M x

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s