This is a transcript of a video by Michael Stevens, the host of Vsauce, where he demonstrates how to cut a bagel into two interlocked rings using a knife that follows the shape of a two-twist mobius strip. He also explains the concept of mobius strips and how they have only one side and one edge. He shows some examples using paper strips and strings to illustrate the different outcomes of cutting a hoop with zero, one or two twists. He also cuts a bagel with a single twist mobius strip, resulting in a longer but single-sided bagel. He ends the video by wishing his viewers a merry Christmas and thanking them for watching.
Here are some key facts extracted from the text:
1. The text is a transcript of a video by Michael Stevens, the host of Vsauce, a YouTube channel that explores topics related to science, mathematics, and philosophy.
2. The video demonstrates how to cut a bagel into two halves that are whole and complete but yet interlocked by using a cut that follows the surface of a mobius strip.
3. A mobius strip is a one-sided surface with only one boundary that can be created by giving a strip of paper a half-twist and joining the ends together.
4. A mobius strip has the property that if it is cut along the middle line, it results in one larger mobius strip instead of two separate loops.
5. A bagel can be cut along a mobius strip by rotating the knife 180 degrees as it goes around the bagel, resulting in two interlocked bagel rings.
6. A bagel can also be cut along a two-twist mobius strip by rotating the knife 360 degrees as it goes around the bagel, resulting in two separate but identical and interlocked bagel rings.
7. The video also shows how to use strings, paper strips, and hoola hoops to illustrate the properties of mobius strips and their variations.