Mosaic Knots -- beautiful and practical
Knot Mosaics give us a power tool for creating two-dimensional versions of knots and links.
(an example of Solomon's Knot). The example above is a link, rather than a knot: it's two unknots tied together.
Have you ever played "Human Knots"?
Is it possible to create a link of three loops (or rings, or unknots) in such a manner that they are indeed linked, yet if we remove any one of the rings the other two become unlinked? Yes, indeed! "Borromean Rings":
These knot mosaics illustrate the most common kind of knots that we study:
This images illustrates an important use of Reidemeister moves: this shows that the figure-eight knot and its mirror image are equivalent:
The following image illustrates the relationship between twisted bands (like the mobius band) and knots:
- Celtic Knot Mosaics
- Knot Mosaics help us to draw Borromean Rings, for example
- The Rolfsen Knot Table
- Making an icosahedron with golden rectangles (well, 3x5 cards....)
- Quantum Knots (local copy)
- Mosaic Graph Paper (two-sided)