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I'm with the authors on this one. While the question may be more interesting if we leave the intestines in and consider the dog a torus, you'd then have to imagine intestinal hair, which is too unpleasant even for a math book.
Ok but now I wanna see the theorem for having the hairs lie down without a part.... maths books like this are wonderful, all of them should be written similarly.
This is why Einstein had such bodacious hair isn't it 🤔 thought his head was a sphere.
Idk there is a case to be made for the dog being toroidial