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What do we call it if it is also cut and filled in the conventional bagel plane?
xandwich
I like the way you think. That also leaves open the possibly of the yandwich, which is cut into three equal segments in the same way as the opening post, and the xyandwich when you combine the x and y options.
Not a Δandwich?
Now I'm just getting hungry.
Tesserwich is a possibility if you start fucking around in the Fourth dimension.
I've been trying to work out if, by cutting a helix around the bagel, you can create a mobius type sandwich with two, interlinked parts.
Moving in to higher dimensional bagel cutting is probably the sort of thing you can really make one's brain hurt.
I think a Mobius bagel would be a SCP artifact. In before it's actually cataloged and numbered.
The right answer.
Not an xorwich?
An xorwich would be crosscut, or ripped, but not both.
Sandwich cut in half
I realise that you are correct, but which way is the sandwich, and which way is the cut? It's filled on both planes.