
An ideal knife could enter on the black line and come out exactly opposite, on the red line. But in practice, it is easier to cut in halfway on both the black line and the red line. The cutting surface is a two-twist Mobius strip; it has two sides, one for each half. After being cut, the two halves can be moved but are still linked together, each passing through the hole of the other. (So when you buy your bagels, pick ones with the biggest holes.)
OH GOD I CAN EAT FOREVER
There is a strange symmetry between your icon and the one beneath this post.
To be served with coffee in a Klein Bottle, of course.
and Moebius bacon strips.
http://www.kleinbottle.com/klein_bottle_hats.htm
Mobius loops, part of this topologically improbable breakfast. Best served with knotted doughnuts.
See also Tied ("thai") food.
I greatly enjoy this.
That seems like an awfully convoluted way of describing the process:* You're cutting the bagel in half along the circle formed by the centroid of the circular cross-section of the bagel, while simultaneously rotating the knife about that line. If you cut the bagel radially and unbent it into a cylinder, you'd be cutting it lengthwise while rotating the knife once around the centerline of the cylinder. You're just doing that without the unbending part.* After actually trying to come up with a better way to say it, I retract this statement.