Ok, so the mathematicians among you will point out that they're not quite Mobius bagels, but they are interesting from a geometry and topological viewpoint. And tasty.

We're going to make two inter-locking half bagels, which look quite impressive, just from a plain old normal bagel. They key is cutting it in the right manner.

I first found how to do this on George Hart's website: http://www.georgehart.com/bagel/bagel.html
But I haven't seen an instructable on this yet, so I thought I'd share it, and bring a bit more maths to the breakfast table.

We will need:

1 Bagel
1 Knife, fairly narrow, serrated kind is best, but others will work

Step 1: The cut, pt1

The key to cutting it correctly is to be able to visualise rotating around the bagel. I find it easiest to make a couple of 'marker' incisions.

Looking at the bagel 'head on', at the 9 o'clock position, insert the knife into the bagel horizontally. Then at the 6 o clock position, cut into it from below (see photo). Then joint the two up in a diagonal cut so you are rotating the knife around 90degrees through the cut.
It's funny because when I first saw it, I thought "Vi Hart". I see George is her father. The apple clearly didn't fall far from the tree, as they say.

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