Double Klein Bottle Remix

I love the wireframe Klein bottle design by Gnietschow! I actually had two failed prints that I didn't have the heart to toss - and they gave me the idea to print a Klein bottle feeding through another Klein bottle.

This object is great for Nerd Sniping (https://xkcd.com/356/). How does this double klein bottle topographically differ from the original Klein bottle?

More on Klein bottles: (links for the curious and googlephobes)
https://en.wikipedia.org/wiki/Klein_bottle
http://www.darkroastedblend.com/2013/05/topological-marvel-klein-bottle-in-art.html
http://www.kleinbottle.com/double_and_triple_Klein_Bottles.html (