The sets of fixed height (level curves) on the torus standing on end change topologically when the height hits the hole. The bottom level set is a point, followed by one loop between the bottom at the hole, a figure eight at exactly the where the hole starts, two loops inside the hole, and then everything in reverse order on the top half ending in a point at the very top. This is a popular illustrative example in the study of Morse theory.
Things looked kind of a mess before removal from the build plate, but that turned out to be the dual build fence rather than the model.
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