2D life form can exist with alimentary canal

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MartinRek
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Hi,
as I read in one of Hawking books, he predicted that a 2D life-form with an alimentary canal can not exist because it would fall apart. I was wondering about that, because I thought of an easy solution for this: with two movable chainings its still possible. I have made a graphic and attached it to this post. In general its a bit off-topic (sorry for that) but I wanted to get some feedback on it.
Martin
 

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Your life-form would hinge open at one chaining when the other is open.
What about shaping the canal like a loose-fitting jigsaw-puzzle piece?

To hold together it would still require some structural rigidity.
 
Yes, but that's only a design issue - you can build / design the chainings strong - maybe they build somehow the backbone of this life form - the graphic should just explain that there exist a way.
 
You could have lots of them along the canal too ... and you'd need to pay attention to how they hook together.

The two sides of the creature could have different charges ... the canal could be filled with a 2D version of a sticky jelly ... etc etc.
 
Amoeabas solved that. Just involve the food and push it inside in a sack.