Photographs.

"Why don't you have any photos of yourself up?"
"I do. See?" She pointed to a framed photo of herself with her siblings.
He laughed, "No, like photos just of yourself."

She looked up from where she was rummaging and shrugged. "Can I take photos of you then?" With his fingers, he made a rectangular shape, pointed at her, and clicked his tongue to make the sound a camera would make if it were taking photos. "You should have more photos of yourself. Why wouldn't anybody want to have photos of just you?"

"I blink a lot and it ruins photos."
"Well, let me take them, then. You won't ever want to blink if you're looking at me."
She burst into laughter and handed him a small stack of photos. He flipped through them, his smile getting wider and wider.
"Can I have a few of these?" He raised a few photos up, his face still buried in the photos. She ignored his question and continued searching for something in another box.

As he was leaving, he held up three photos. "Do you mind if I have these?"
"But why? I thought you were going to take photos of me with your oh-so-awesome camera."
"I don't know. You just look so happy. And you're almost sort of cute in this one."
She shrugged and thought of a better idea. "Why don't you just take a photo of me with your phone. That way, you can have a photo of me to look at whenever you want. Digital is so much cooler. And if you're really into that pseudo-vintage stuff, then instagram it."
"If you really don't want me to have these, you can just say so."

She felt bad. Those were photos taken by somebody else who elicited those happy moments. They were from a different time in her life. They were smiles meant for somebody else. There's a memory behind each photo and she didn't want him to have any of them. It's not the way she'd like to part with them.

In the end, they sat on the stairs and he took a photo of them.
"I promise I'll take as many photos of you as I can if you let me."
She sheepishly handed him the three photos she had confiscated from him.
"No, it's okay. I think I kind of get it."

---
I've always thought it was a bit self-serving to put photos up of one's self. I don't get it. It's like--don't you know how you look? Why do you need a photograph of yourself up on your wall?? I guess, whatever, to each their own.