Brian Sanderson's Homepage

Knot Theory

• Knot Theory Lectures MA3F2
• This site hopes to be a complete knot theory atlas, one day
• History of Knot theory
• Guardian Science article March 8 2001 on unknotting moves.
• The Open Directory - Knot Theory
• Is string theory in knots?
• The KnotPlot Site
• Knot diagrams created from their Dowker-Thistlethwaite code
• Morwen's Home Page
• Atlas of oriented knots and links
• Knots on the web (Peter Suber)
• Celtic Knots
• Seven knots with seven crossings
• Knots and enzyme action on DNA strings
• Knot Theory from Mega-Math
• The not knot video
• Lou Kauffman
• Knot Theory from Eric Weisstein's World of Mathematics
• Wikipedia entry
• Exhibition of knots at Bangor.
• Brighton Lecture June 99

Papers with Roger Fenn and Colin Rourke

• Trunks and Classifying Spaces Published by Applied Categorical Structures Abstract only
• An Introduction to Species and the rack space
• James bundles and applications

Papers with Colin Rourke

• The compression theorem

  A Java animation showing a vector field straightening.
  A maple program showing the straightening.

Views of the Projective Plane

• A short paper showing the projective plane immersed in 3-space. Various cross sections and views of Boy's surface. This is a half megabyte .ps.gz file. And here is a pdf version.
• Instructions for making a paper model of Boy's surface.

Maple worksheets and Animations

• An animated mobius band becomes a Boy's surface. A gif animation.
• Watch the edge of the band move. A gif animation.
• The complementary disc becomes a Boy's surface. A gif animation.
• Horizontal slices of Boy's (three legged stool) surface. A gif animation. Notice three saddles and a triple point.

• A worksheet to calculate homology and cohomology of the rack space, and another for the action rack space. Supplementary files normform and homology are used by the worksheet.
• My maple tutor.

Maple Output

• Six stages in the transformation of a mobius band into a Boy's surface.
• My favourite stage. It takes a sixth of the time to load.
• More images: d1 d2 e3 e4 e5 m1 m2 m3 m4 m5 m6

Tilings and patterns

• One not to miss. Dror Bar-Natan's tilings all taken from everyday settings.
• An algorithm which can be used to decide which of the 17 patterns you may be looking at.

Other maths related stuff

• Maths sites compiled by John Rawnsley.
• Warwick Maths Institute Library

Here are aerial photographs of the Mathematics Institute before and after the new extension.

My house. This is a .gif file containing an aerial photo.

Wolfhamcote my village.

Here I am on funky web site of the day July 11 1995.

Exam time - a poem