Tags » Knot Theory

Magic, Mathematics and Celtic Knots

In higher level mathematics, numbers are largely forgotten and focus is placed upon shape, shape, planes, intersections – the manipulations of and speculations upon the physical / perceived nature of things. 610 more words

Art

"A child[’s]…first geometrical discoveries are topological…If you ask him to copy a square or a triangle, he draws a closed circle"*...

Topology is the Silly Putty of mathematics.  Indeed, sometimes, topology is called “rubber-sheet geometry” because topologists study the properties of shapes that don’t change when an object is stretched or distorted. 331 more words

Introducing Cube Knots

This movie introduces cube knots—a new way to represent knots in 3-dimensional space. Cube knots are special because there are two Reidemeister-like moves that take any cube diagram representation of a knot to any other cube diagram representation of that knot. 83 more words

Scott Baldridge

Topology: How are a donut and a coffee mug the same?

In Mystery Math, we tackled the mysteries of Topology today. Maybe you’ve heard of mobius strips, but how about a Torus?

Want to learn more about a Torus… 28 more words

I Wonder!

Jones's new polynomial

Check out this exciting new preprint by Vaughan Jones!

V.F.R. Jones, Some Unitary Representations of Thompson’s Groups and , arXiv:1412.7740.

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Knot Theory

Mildly wild knots

The objects of study: these knots will
1. Have exactly one wild point.
2. Be the union of two tamely embedded arcs which are joined at their endpoints; needless to say one of these selected endpoints, say , will be the wild point. 968 more words

Construction

Concordance Champion Tim Cochran 1955-2014.

Yesterday I received the shocking news of the passing of Tim Cochran (1955-2014), a leader in the field of knot and link concordance. The Rice University obituary is… 592 more words

Knot Theory