Cats love to fit in small places. They love boxes, and tighter the spaces are, the better. There are several studies about this behavior pattern of theirs. Most of them concluded that cats love them because no one can sneak up on them; they are covered from multiple sides.
Often it is a reaction to stressful situations. One shelter conducted a study, and it showed that cats that have boxes in their cages have lower stress hormones.
As for the domestic cats, who live in loving families… we can't really say. It's just their nature probably. But it's fun anyway. We are glad they do it.
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