Last Time | Next Time |
We learned that
That's because one had an odd number of twists and the other had an even number of twists.
Which reminds me of a logo (remember your logos, which will be presented in just a few weeks?)
Today is just a "gentle introduction to links and knots". Next time we'll start in on how to distinguish them, which involves a little more mathematics.
Then we'll cut the Mobius band in thirds. How? And what results? We know what happens to the Mobius band when we try to cut it "in half" -- what happens when we try to cut it into "thirds"?
Let me begin by mentioning that a belt is a great tool for creating mobius bands, and trefoil knots, and the like....
How does the Mobius band relate to links and knots? Let's try to draw some edges:
Wikipedia | Here are the originals |
"We must all hang together, or assuredly we shall all hang separately." Benjamin Franklin, at the signing of the Declaration of Independence.
"Drummer John Bonham's symbol, the three interlocking rings, was picked by the drummer from [Rudolf Koch's Book of Signs]. It represents the triad of mother, father and child, but also happens to be the logo for Ballantine beer." (from the Wikipedia article on Led Zeppelin IV).
Ironically I just discovered John Paul Jones's symbol in another brewing company (while enjoying one of their products); Arcadia Brewing company of Kalamazoo, Michigan, has this as their logo:
Maybe every Led Zepellin symbol is on a beer somewhere?
If you want to draw the Borromean rings, you'd draw three circles, as in the first figure above: | but you'd want to indicate, somehow, that one ring is below another ring (aka the "Irish Trinity"): |
One more:
Scene from Stora Hammar stone
(an example of Solomon's Knot -- which you might notice is actually a link!)