How Many Regular Hexagons?

A man is dining in a fancy restaurant, and there is a gorgeous redhead sitting at the next table. He had been checking her out since he sat down, but lacked the nerve to talk with her.
Suddenly she sneezes and her glass eye comes flying out of its socket towards the man. He reflexively reaches out, grabs it out of the air, and hands it back.
"Oh my, I am so sorry," the woman says as she pops her eye back in place. "Let me buy you dessert to make it up to you."
They enjoy a wonderful dessert together, and afterwards, the woman invites him to the theater followed by drinks. After paying for everything, she asks him if he would like to come to her place for a nightcap...and stay for breakfast the next morning.
The next morning, she cooks a gourmet meal with all the trimmings. The guy is amazed! Everything has been incredible!
"You know," he said, "you are the perfect woman. Are you this nice to every guy you meet?"
"No," she replies...
... "You just happened to catch my eye