backpack and photographed the box, shifting it on the table to get the back. When she was done, she found that the top would no longer lock down in its original position. The instant Magister Pregaldin saw it, he would know that she had raised it. It was evidently meant as a tamper detector, and she had set it off. Now she needed to solve the puzzle, or explain to him why she had been prowling his apartment looking for evidence.
She walked home preoccupied. The puzzle was clearly about sixesâsix sides, six rows, six hexagons in a row. She needed to think of formulas that involved sixes. When she reached home she went to her room and started transferring the boxâs pattern from the photos to a diagram so she could see it better. All that afternote she worked on it, trying to find algorithms that would produce the patterns she saw. Nothing seemed to work. The thought that she would fail, and have to confess to Magister Pregaldin, made her feeling of urgency grow. The anticipation of his disappointment and lost trust kept her up long after she should have pulled the curtains against the perpetual sun and gone to bed.
At about six hours forenote a strange dream came to her. She was standing before a tree whose trunk was a hexagonal pillar, and around it was twined a snake with Magister Pregaldinâs eyes. It looked at her mockingly, then took its tail in its mouth.
She woke with the dream vivid in her mind. Lying there thinking, she remembered a story he had told her, about some Capellan magister named Kekule, who had deduced the ringlike structure of benzene after dreaming of a snake. She smiled with the thought that she had just had Kekuleâs dream.
Then she bounded out of bed and out her door, pounding down the spiral steps to the kitchen. Hunter and Maya were eating breakfast together when she erupted into the room.
âHunter! Do you have any books on chemistry?â she said.
He regarded her as if she were demented. âWhy?â
âI need to know about benzene!â
The two adults looked at each other, mystified. âI have an encyclopedia,â he said.
âCan I go borrow it?â
âNo. Iâll find it for you. Now try to curb your enthusiasm for aromatic hydrocarbons till Iâve had my coffee.â
He sat there tormenting her for ten minutes till he was ready to go up to his office and find the book for her. She took the disk saying, âThanks, youâre the best!â and flew upstairs with it. As soon as she found the entry on benzene her hunch was confirmed: it was a hexagonal ring of carbon atoms with hydrogens attached at the corners. By replacing hydrogens with different molecules you could create a bewildering variety of compounds.
So perhaps the formula she should have been looking for was not a mathematical one, but a chemical one. When she saw the diagrams for toluene, xylene, and mesitylene she began to see how it might work. Each compound was constructed from a benzene ring with methyl groups attached in different positions. Perhaps, then, each ring on the box represented a different compound and the objective was to somehow align the corners as they were shown in the diagrams. But which compounds?
Then the code of the inlaid woods came clear to her. The blond-colored hexagons were carbons, the red ones were hydrogens. The other colors probably stood for elements like nitrogen or oxygen. The chemical formulae were written right on the box for all to see.
After an hour of scribbling and looking up formulae, she was racing down the steps again with her solutions in her backpack. She grabbed a pastry from the kitchen and ate it on her way, praying that Magister Pregaldin would not have returned.
He had not. The apartment still seemed to be dozing in its emptiness. She went straight to the box. As she dialed each row to line up the corners properly, her excitement grew. When the last ring slid into place, a vertical crack appeared along one edge. The