Late for their own Epiphany moment?

No-one knows the precise moment the wise men arrived to visit the child born to the carpenter and his young wife.
Why do we refer to them as wise, when they took their eyes off the star and sought the new king in a palace?

[Peter H]

Why do we think there were three? Why is it we don't even know for certain which year?

[Phil]

Lovely shine & texture.