Areas in which ideas from discrete and computational geometry - mainly low-dimensional Euclidean geometry - meet some real world applications. There are brief descriptions of those applications and the geometric questions arising from them, as well as pointers to Web pages and other sources of further information.
- architecture - computer aided design/manufacturing - computer vision - geographic information systems - graph drawing - medical imaging - origami - textile layout
A hands-on exploration of the fundmental ideas of Knot Theory, with a variety of activities for exploring knots made from pieces of rope. Students can make and verify observations about knots, classify them, combine them, and find ways to determine whether two knots are alike. The activities outlined can be combined to form a single lesson about mathematical knots, or a larger investigative unit that extends over a longer period of time. The sequence in which the activities are listed is roughly in order of increasing difficulty and challenge, but all of the earlier activities are not strict prerequisites for the later ones.
A collection of knots and links, viewed from a partly mathematical perspective. The images were created with KnotPlot, a program designed to illustrate and manipulate mathematical knots in three and four dimensions. Browse the picture gallery and read a description of KnotPlot's features.