The analogy of an egg is Omelette, this is due to the fact that when being prepared, they look exactly the same.
An analogy demonstrates a resemblance in outlooks and characteristics, often in the same field, but the fundamental distinction in the analogous object is what makes them unique.
From the given example;
This is because they all appear the same when they're being prepared; it's simply the way they're cooked that differs.
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