In the mathematical area of knot theory, a ribbon knot is a knot that bounds a self-intersecting disk with only ribbon singularities. Intuitively, this kind of singularity can be formed by cutting a slit in the disk and passing another part of the disk through the slit.

2025年1月20日 · If the knot K is the boundary K=f(S^1) of a singular disk f:D->S^3 which has the property that each self-intersecting component is an arc A subset f(D^2) for which f^(-1)(A) consists of two arcs in D^2, one of which is interior, then K is said to be a ribbon knot.

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The following diagram illustrates a typical ribbon knot. The importance of ribbon knots lies in their close relation to slice knots. Every ribbon knot is a slice knot: by sliding each singular arc AˆS3 into the interior of D4 one obtains a slice disk for any ribbon knot K. A simple way to form a ribbon knot is by adding any knot Kto its ...

Learn how to tie a simple ribbon knot in just a few easy steps! Whether you're looking to add a stylish touch to your clothing or accessories, or just want t...

How-To Tie A Bow Knot All By Yourself. Step #1: Begin by wrapping your ribbon over one side and back up the other. In other words, create a typical tied package.

List of decorative rope knots with tying tutorials, uses (nautical, home, wedding and wall décor, navy, craft), how to tie decorative knots with easy diagrams

2017年7月18日 · Come check out a video from Stamping Family where you can learn to tie a perfect ribbon knot every time without wasting any precious ribbon!

The Ribbon Number is the minimum number of such double arcs among all ribbon disks. Early references include [3,4]. If K is not a ribbon knot, we note that the ribbon number does not exist: "D.N.E." If K is ribbon, then it bounds an embedded ribbon disk in the four-ball.