what’s in a knot?

6
What’s in a Knot? Michael Ehrenberg October 13, 2005

Upload: zelda-pierce

Post on 13-Mar-2016

68 views

Category:

Documents


0 download

DESCRIPTION

What’s in a Knot?. Michael Ehrenberg October 13, 2005. Differentiating Between Knots. Can this knot be untangled?. = ?. What’s in a Mathematical Knot?. Trivial Knot. Trefoil Knot. Composite Knots. + =. Knot History. Late 1800’s Universe filled with Ether - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: What’s in a Knot?

What’s in a Knot?

Michael EhrenbergOctober 13, 2005

Page 2: What’s in a Knot?

2

Can this knot be untangled?

                                                  =                           ?

Differentiating Between Knots

Page 3: What’s in a Knot?

3

What’s in a Mathematical Knot?

Trivial Knot Trefoil Knot

Page 4: What’s in a Knot?

4

Composite Knots

          + =                  

Page 5: What’s in a Knot?

5

Knot History

• Late 1800’s• Universe filled with Ether• Lord Kelvin proposed

each element has a signature

• Signature based on knotting of element with ether

Page 6: What’s in a Knot?

6

Knot Applications

• Late 1980’s

• DNA Tangling

• Genetic Impact of Knots