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If youd already gotten the answers from someone, Layton said, why didnt you just write them down earlier? You went to all the trouble of cheating, then forgot to actually do the assignment? I dont cheat, Joel said, scribbling the next answer. Why would I need to do something like that? Joel, Layton said, folding his arms. Those problems are supposed to take at least five minutes each. You expect me to believe youre doing them in your head? Joel shrugged. Theyre basic stuff. Layton snorted. He walked to the board, drag a quick cone, then writing some numbers on the board. Joel took the opportunity to finish the next three problems of his assignment. Then he glanced at the board. Two hundred one point one centimeters, Joel said before Layton even finished writing. Joel looked back down at his paper, figuring the last problem. You need to practice your sketches, Professor. The proportions on that cylinder are way off. Excuse me? Layton said. Joel joined Layton at the board. The slant length is supposed to be twelve centimeters, right? Layton nodded. Then proportionately, Joel said, reaching up and redrag the cone, the radius of the bottom circle needs to be this long, if you want it to accurately reflect a proportionate measurement of four centimeters. Layton stood for a moment, looking at the corrected diagram. Then he pulled out a ruler and made the measurements. He paled slightly. You could tell by eye that my drag was off by a couple centimeters? Joel shrugged. Draw me a line one third the length of the slant length, Layton ordered. Joel drew a line. Layton measured it. Accurate, he said, to the millimeter! Can you do a circle with that radius? Joel did so, drag a wide circle on the board. Layton measured the circle by getting out a string. He whistled. Joel, these proportions are perfect! The arc on your circle is almost as exact as if it were drawn by a compass! You should have been a Rithmatist! Joel glanced away, shoving his hands in his pockets. About eight years too late for that, he muttered. Layton hesitated, then glanced at him. Yes, he said. I guess it is. But, well, you mean to tell me you sat there in class all this time knog how to do this? Joel shrugged. You must have been bored out of your mind! Joel shrugged again. I cant believe it, Layton said. Look, how about we do your summer elective as a trigonometry study? I know trig already, Joel said. Oh, Layton said. Algebra? Know it, Joel said. Layton rubbed his chin. Look, Joel said. Can I please just pass geometry? I have plans for summer elective. If I cant make them work well, Ill do calculus or something with you. Well, Layton said, still regarding the board. Really is a shame youre not a Rithmatist. Youre telling me. Did you l this from your father? Layton asked. I understand he was something of an armchair mathematician himself. Kind of, Joel said. Layton was new to the campus, having arrived at the academy just a few months back. He hadnt known Joels father. All right, Layton said, throg up his hands. You can pass. I cant imagine spending three months trying to train you in something you already know so well. Joel let out a deep sigh of relief. Joel, just try to do your assignments, all right? Joel nodded eagerly, rushing back to get his books from his desk. On top of them were the two books that belonged to Professor Fitch. Maybe the day wasnt a loss quite yet. CHAPTER Joel left Professor Laytons lecture hall, stepping out onto the grass. A in a white skirt and a grey sweater sat outside, back to the brick wall of the building, sketching idly in her notebook. She looked up, curly red hair bouncing as she inspected Joel. It was Melody, one of the Rithmatists in the class. Oh, is he done with you? she asked. Joel nodded. Well, youre still in one piece, Melody said. I guess thats a good sign. No bite marks, no broken bones You were waiting for me? Joel asked, frowning. No, silly, she said. Professor Boring asked me to stay and talk to him once he was finished with you. Probably means Im failing. Again. Joel glanced at her notebook. Hed watched her all semester, imagining the complex Rithmatic defensive circles she was drag. On the pages, however, he didnt see Lines of Warding, Forbiddance, or even any circles. Instead, he saw a picture of unicorns and a castle. Unicorns? he asked. What? she said defensively, snapping the notebook closed. The unicorn is a noble and majestic animal! They arent real. So? she asked, standing with a huff. Youre a Rithmatist, Joel said. Why waste your time drag things like that? You should be practicing your Rithmatic lines. Rithmatic this, Rithmatic that! she said, tossing her head. Protect the kingdom, keep the wild chalklings at bay. Why does everything have to do with Rithmatics? Cant a spend some time thinking about something else once in a while?