Tallulah Willis sure has her own style!

Between the shaved head, the pointed peach fingernails, the vintage Chinese silk dress and black booties with maroon socks, this girls' certainly got a unique look!

Tally and her grandma went for lunch at Il Pastaio in Beverly Hills yesterday and drew the attention of fellow diners and passers-by as the odd couple crossed the street, hand-in-hand.

Is Ms. Willis trying to prove to herself that her insides are beautiful and her exterior doesn't matter? Is the head shaving some sort of self-help therapy so that she can learn to love and accept herself for who she is and focus inward rather than on superficial things? Dunno ... but we vote for some slightly longer hair.