The house had always belonged to other people’s noise. Their parents filled it with television and itineraries; Agatha filled it with music and the particular cruelty of someone who had never needed to be clever to be seen. Malcolm filled it with silence and paper. By the third night of the empty summer the silence had a shape. He sat at his desk with the desk lamp cutting a hard circle on the printed page, the Greek letters looking almost ceremonial under the yellow light. Submission as a function of time. Resistance as an initial condition. Punishment and reward as the only two forces that mattered once you stopped pretending people were mysterious.
He had written the first version of the model two winters ago, half as a joke and half as a way to keep his hands busy while Agatha’s laughter carried through the wall. He had not expected to run it. Then she had stood in his doorway in a damp tank top and asked whether the Enterprise was the only thing that got him hard, and the joke stopped being theoretical.
In the morning she came down wearing one of his old shirts and nothing that counted as pants. She opened the refrigerator with her hip and bent farther than the milk required. The shirt rode up. He watched the line of her ass and the careless way she inhabited a body he had spent years pretending not to notice.
“Coffee’s gone,” she said. “Guess you’ll have to function without it, genius.”
He stood. The chair scraped. He crossed the kitchen, set his palm on the warm underside of the shirt, and struck her once, open-handed, hard enough that the sound cracked against the tile. She jerked upright with a startled noise that was not quite a laugh.
“What the fuck, Malfunction?”
“That’s one.” His voice sounded like it belonged to someone who had already done the arithmetic. “Every time you mock me in this house you take a count. Five and you go over my knee. Ten and we add implements. The formula does not care what you intended.”
She stared at him, then laughed too loudly. “You’re actually doing the nerd-revenge bit. Did you calculate the exact Newtons? Need a confidence interval?”
He took her wrist, turned her to the counter, and gave her two more on the same cheek. The shirt lifted. The skin pinked in the shape of his hand. She yanked free and stood there rubbing the spot, breath shorter than the joke required.
“You’re serious.”
“Completely.”
She called him a creep and went upstairs. The door shut. The lock did not turn. He sat back down and entered the first data point with a hand that was not entirely steady.
That afternoon she occupied the couch as if the house were still hers, legs folded, phone glowing. He sat at the far end with the laptop open to the curve. She glanced, then looked again at the integral sign the way other people look at a dare.
“What’s that supposed to be?”
“The function that describes how long a brat remains a brat under consistent input.”
“You’re so weird.”
He reached, hooked two fingers in the waistband of her shorts, and pulled. She came across his thighs in an undignified sprawl, kicking, swearing, trying to get a knee under herself. He pinned her legs with one forearm and dragged the shorts to mid-thigh. The first five were measured. He counted them aloud. Her ass went from pale to mottled. She twisted and tried to cover herself and then, around the seventh stroke, the fight changed character: less escape, more endurance. When he stopped he left his palm on the heat.
“You get up when you say it. I was rude. I’ll do better.”
Silence stretched. Her breath hit the cushion in uneven bursts. Then, very quietly, she said the words. He let her up. She righted the shorts without looking at him and left the room. The door closed softly.
He instituted mornings. She presented in the kitchen in whatever he had named the night before: first the Academy shirt and no underwear; then a short plaid skirt from a box of old costumes and a white blouse that would not quite close over her chest. Hands on the counter. Chin up. If the uniform was wrong the count increased before breakfast. He spoke to her in the flat register he used for proofs. She answered in shorter sentences than she used to.
Star Trek arrived on the fourth evening because he needed a frame large enough to hold what he was doing. He put on the cheap command-red tunic and clipped the replica communicator to his own collar, then to hers.
“Ensign Agatha. Report.”
She was on the couch in the skirt. She looked at the tunic and laughed, but she stood when he pointed at the carpet and put her hands behind her back.
“You’re on report for insubordination and sloppy uniform. Ten of the best. Then you recite the Prime Directive while I decide whether you come.”
He bent her over the arm of the couch. The skirt flipped. No underwear, as ordered. The wooden spoon from the crock by the stove made a different sound than his hand: sharper, more official. The first strokes pulled shouts out of her. By the eighth the sounds had gone wet and small. He left her there, striped, and walked around so she had to look at his boots.
“Prime Directive.”
She had to swallow first. “A starship captain may not interfere with the normal development of an alien civilization.”
“And what are you?”
A pause. “Your alien civilization.”
“Close enough. No orgasm. Not until the integral says so.”
He read on the opposite couch for twenty minutes. She did not move. When he finally told her she could rise, her legs were unsteady and there was a dark mark on the upholstery where she had been pressed.
That night she appeared in his doorway without being summoned. The communicator still hung at her collar.
“Show me the numbers.”
He opened the file. She sat on the edge of his bed—his bed—and watched the curve climb from 0.12 to 0.41. Her throat moved.
“That’s me.”
“That’s the model of you.”
She was quiet for a long time. Then she lay back on his sheets as if the decision had already been made two rooms ago.
“If I let you keep going, does the line go to one?”
“If the inputs stay consistent.”
“Then don’t stop.”
He didn’t.
The house became a closed system. Mornings: inspection, posture, verbal status. Afternoons: tasks performed to specification—his laundry folded in pairs, coffee set at his elbow without being asked, the plug he had ordered worn for increasing intervals while she cooked. Failures added to the count. Evenings: scene. Sometimes captain and ensign. Sometimes only Malcolm and Agatha and the belt, the spoon, the hand, the slow insistence of fingers that did not rush her toward anything she had not earned.
He taught her the grammar of asking.
“Permission to speak, sir.”
“Permission to come, sir.”
The first time she came it was still over his knee. Three fingers working her open, his other hand keeping time on the already-tender skin of her ass. She clenched around him in helpless pulses and made a broken sound into the quilt. Afterward she cried in a way that had nothing useful to do with pain. He held her and recited the current value of S(t) as if it were a lullaby.
0.67.
She started sleeping in his bed. She still called him Malfunction, but the word had lost its edge; it sat in the air like a private frequency. In the dark she would press her face to his throat and ask him to run the numbers again, and he would, quietly, while his hand moved between her legs until she shook.
On the twelfth day he had her kneel on the living-room carpet in the red tunic and nothing else. The communicator sat on the table like a relic from a kinder canon.
“Status.”
“S is 0.81, sir. B is falling. I think about the next spanking when you’re in another room. I get wet when you open the laptop.”
He lifted her chin with two fingers. “And the rest of the original request.”
Color rose under her skin, but she did not look away. “I sucked you this morning without being told. I came on your hand last night while you listed every time I’ve mocked you since I was old enough to mean it. I think that qualifies.”
“Almost. One more variable.”
He put her on her back on the couch, her legs over his shoulders, and pushed into her with the slow, implacable pace of someone completing a proof. He talked while he fucked her: the integral, the decay term, the way her body had become the evidence. She came twice, loud enough that the empty house seemed to hold the sound. On the second climax she said his name as if there were no other word left in the language.
Afterward they lay in the dark with the windows open on a street that did not know them. She traced a fading handprint on her own thigh with one fingertip.
“You actually did it. The nerd won.”
He kissed her hair. “The formula won. I only ran it.”
She laughed, wrecked and fond. “Run it again tomorrow.”
He already had the next day’s protocol written in the same notebook as the original model. S(t) would cross 0.9 before the week ended. After that the mathematics predicted maintenance, not acquisition. She would still be Agatha—mouthy, bright, occasionally impossible—but the brat would surface inside the rules they had built, and she would ask, again, not to stop.
That was the revenge: not that he had broken her. That she had become the one who kept the experiment running.
