If ever there was a banner day for hats — wild and colorful hats — it was Saturday, the duel spectacle of King Charles III’s coronation and the celebration that IS the Kentucky Derby.

Katy Perry donned a wide lilac hat to go with her matching bespoke jacket and skirt by Vivienne Westwood, her chin up as she peered under its flat, tilted brim while she searched for her seat at Westminster Abbey (yes, there were memes).

And there was Princess Anne, the king’s sister, in a two-pointed mili …