# Jean Constant - Knots

In mathematics, a knot is defined as a closed, non-self-intersecting curve that is embedded in three dimensions and cannot be untangled to produce a simple loop (Wolfram). Knot projections are also a recurrent theme in the world cultural and esthetic history from Egyptian, Greek to Celtic and many other to more complex representation of mathematical figures.

A 23 images portfolio inspired by the work of mathematician Richard Kramer on knots explores the dynamic of object representation in a different context and is available on Jean’s site at hermay.org

## Seven crossing knot

One measure of complexity often used in studying knots is the crossing number, or the number of double points in the simplest planar projection of the knot. There are seven knots with a crossing number of seven.

The knot outline was used as the basis of a raster based image, using various techniques of design and composition .

## Figure 8 knot

The figure-8 knot or achiral knot is the only knot with a crossing number of four.

The dynamic of this knot outline was manipulated in a raster based program to bring up the characteristic nature of this 3-dimensional object on a two dimensional surface.