"My name is Riya," she says.

"I'm glad to be actually introduced to you. Now, I think I'm going to compare the patterns of your world's magic with some other impressions I've taken over the years."

"Okay. I'll sit and read books," says Riya.

"Alright." And Kanimir goes and studies a large number of diversely-colored chunks of quartz.

Riya perches in a chair and reads the reflections of books.

There are lots of those. Books on the foundations of magic, books on math, science and history, books on more advanced magic, a handful of novels, books on really advanced magic...

Well, that's sure a theme.

She picks one of the books on the foundations of magic, first.

Magic, in this universe, exists in the form of innate powers held by several different categories of being, and in the form of complex rituals which can be condensed down into manageable actions and phrases. Rituals have many distinct components that can show up in different rituals and correspond to fundamental aspects of magic.

How interesting! Why are the rituals the way that they are?

Some components are obvious; others less so. If she wants to be able to cast a spell where she knows why every bit of it works the way it does, she can do that; if she wants to know how every bit of all her spells work, she can't.

She has no particular intention of casting any spells but quite likes the idea of figuring out exactly how and why some particular spell is put together. Investigate investigate.

That's something she can occupy herself with for a good while. Magic theory is complicated.

Then she can happily spend a long time reading (and get hungry and retreat to her room to eat a snack and then go back to reading).

After an...amount of time...Kanimir finds her again. (It's probably been at least a few days, maybe a week.) "I think I might have something--an avenue of research, not a potential spell," he clarifies. "But I think it would help to see you doing your kind of magic again, under slightly different circumstances." He holds out a book. It's magicked to tell him when it's been read, and how much and what specifically. "Can you read this only in your selfspace?"

Riya nods. "Yes, I can do that."

Her inner self takes the reflection of the book from Kanimir's reflected hand and opens it.

After he's recorded what he wants to record, he examines the crystals closely, frowning. "The fact that you were reading the book didn't register at all," he reports.

"Is that bad?" she wonders.

"It's information."

"Okay."

"Your kind of magic works in a fundamentally different way from mine, so far as I can tell, but after extended poking and prodding I've been able to compare its transport function to some magic with similar results from here. I...think that if I could get an appropriate spell drawn up, I could use some of the information entangled with the door's residue to target where you came from."

"That sounds like good news..."

"And, in case we needed it--we have confirmation that you are from very, very far away. If I'm making any sense of what I'm detangling, you're from farther away than Fairyland, along the same axis."

"Well, I don't know where Fairyland is. Is it far?"

"Fairyland is a separate dimension."

"Oh."