Here's why this idea might have come about:
* Instinctual behavior: Dogs, particularly wild canids, exhibit a natural instinct to "mark" their territory by urinating and defecating. This circular motion might be a leftover behavior from this instinct.
* Comfort and Security: Before settling down to eat, dogs might circle to ensure their surroundings are safe. This behavior, like many others, might be rooted in a sense of security.
* Grooming: Some dogs might circle to "groom" a spot for themselves to lie down, removing any uncomfortable debris or unevenness.
* Individual variation: Just like humans, dogs have unique personalities and behaviors. Some dogs might simply enjoy the feeling of circling before eating, while others don't.
It's important to remember that there's no scientific evidence to support the "three times" claim. While it's a fun fact to share, it's more likely just a coincidence or a way to explain an instinctive behavior.