The Knot ID analysis tools let you view topological information
about curves, whether specified as three dimensional space-curves, as two
dimensional projections, or via standard topological notation. See
the About and Documentation pages for more
information.

### Draw a knot

Visit the drawing tool to
draw a knot diagram and view information about its properties.

### Enter a Gauss code

Visit the dedicated Gauss code page to
upload via this standard topological notation.

### Enter a Dowker-Thistlethwaite code

Visit the dedicated Dowker-Thistlethwaite notation page to
upload via this standard topological notation.

### Torus knots

Enter integers p and q describing a torus knot to view the result
and some of its topological properties. p is the number of times
the knot winds through the hole of the torus, and q the number of
times it winds around the edge.

p and q must (for now) be coprime; this guarantees that the
result is a single-component knot.

### Upload from file

The format should be three values (x, y, z) per line. For instance, the
following would describe a trefoil knot. You can also download this example as a file.

9.0 0.0 0.0
0.781 4.43 2.6
-4.23 1.54 -2.6
-4.5 -7.79 -7.35e-16
3.45 -2.89 2.6
3.45 2.89 -2.6
-4.5 7.79 0.0
-4.23 -1.54 2.6
0.781 -4.43 -2.6

### Upload from paste

The format should be three value (x, y, z) per line, as described in
the 'Upload from file' section above. You can copy the given example
here to see the knot.