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

## Tags » Knot Theory

#### "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

#### 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

#### Jones's new polynomial

Check out this exciting new preprint by Vaughan Jones!

1,004 more wordsV.F.R. Jones, Some Unitary Representations of Thompson’s Groups and , arXiv:1412.7740.

#### 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

#### 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