The simplest knot, called the or trivial knot, is a round circle embedded in . In the ordinary sense of the word, the unknot is not "knotted" at all. The simplest nontrivial knots are the (31 in the table), the (41) and the (51).
The of the knot is the of the image of the ribbon × 1 with the knot. A framed knot can be seen as the embedded ribbon and the framing is the (signed) number of twists. This definition generalizes to an analogous one for . Framed links are said to be if their extensions to solid tori are ambient isotopic.
PFT-V2 Book Link: The Celtic Heart Knot is the woven realization of a design I saw etched into a friend's ring. Stunningly simple, yet at the same time perfectly evocative of a heart, the knot looks amazing as a center piece to a necklace or bracelet. Its also the knot I plan to use for the creation of an I love knots sticker thatll be available in early 2010.