Sweat gathered on Janelle’s forehead. She was having trouble breathing, and her wrists burned from supporting her weight. “You can’t leave me like this.”
“Why not?”
“I’ll suffocate.” She strove to keep the fear out of her voice. “If I die, so do you, according to the prophecy.”
He raised an eyebrow, but he didn’t refute her statement.
“At least give me the combination to release that wheel with the chain.” She suspected he would refuse even if he thought she had a good point, to assert his control, but he might let a guard bring her down if he could do it in the guise of denying her request. After all, the guards already knew the combination. And the emperor would want her in good enough shape for whatever he intended later.
Maximillian didn’t take the bait, though. Instead he smiled with condescension. “You couldn’t figure out the combination even if I gave you the key.”
She scowled at him. “Why not?”
“You may be well apportioned in certain aspects.” He looked over her body, while her face heated. Then he said, “But I hardly imagine abstract thought is one of them.”
She had to make a conscious effort to hold back the retort that hovered on her lips. His attitude gave her another idea, though. If he thought she was stupid, he might respond just to taunt her.
“As long as this key doesn’t involve math,” she said, trying to look blank.
“What, you don’t like numbers?”
She grimaced with distaste. “They don’t like me.”
“Very well.” His laugh grated. “The combination that releases the chain is the same as the number of terminal zeros in 4089 factorial.”
What the blazes? She understood what he meant, but it astounded her that he offered such a game of number theory. It wasn’t something most people knew even in her own universe.
“You do know what a factorial is?” he said.
“No,” she lied.
“Pity. Not that it would help you. You could never multiply all those numbers together.” With that, he motioned to his men. They strode from the cell, and the door slammed shut, the rumble of its closing vibrating through her prison.
Janelle closed her eyes, demoralized. Then she steeled herself. She had to escape. She didn’t know what to think about this “key.” Of course he thought she couldn’t solve the problem; to calculate 4089 factorial she had to multiply the first 4089 natural numbers together. No way could she do it in her head. Except . . . she didn’t need the entire number to determine how many zeros it ended in; she needed only to know how many factors of five it contained. Every five, when multiplied by an even number, added a terminal zero. It was simple. She had done such problems in middle school.
Janelle concentrated. Dividing 4089 by 5 gave 817 plus a remainder she discarded. She divided by 5
2
, 5
3
, 5
4
, and 5
5
and added the results. The first time she calculated 1018. So 4089 factorial ended in 1018 zeros—if she hadn’t made a mistake. She redid it and got 1019. Again, for 1017. It took six tries to convince herself 1019 was the answer. All that time, the pain in her arms and shoulders worsened.
“Now what?” she muttered. She stared at the table where the whip lay, along with several spiked implements she neither recognized nor wanted to. Flinching, she wondered if she would pass out when Maximillian went to work on her. It would be
hours
until night—
No. It wouldn’t be that long. She gritted her teeth. He had left her this way because he wanted her to dwell on it. So she would think about something else. She craned her neck to look around the cell. If she swung like a pendulum, she might reach the walls and catch the chain where it stretched up the stone. From there, she could stretch her leg down to the wheel.
She kicked her legs to start swinging, which worked, but it also made her spin. Her clothes chimed, creating far too much noise. The chain twisted until it could wind no tighter and then unwound, faster and faster. When it finished, it twisted the other way. It was agonizing on her wrists, and bile rose in her throat. As she came to a rest, she closed her eyes and breathed slowly until her nausea receded.
Then she tried again. This time she controlled her swings better. The chain still twisted, but less than before. She finally managed a big enough arc to hook her foot on the chain where it snaked up the wall. She jerked to a stop—and her foot slipped. With a groan of frustration, she swung away, across the chamber.
Janelle slowed to a stop and hung there, breathing hard. She strained to hear if anyone was outside, but no sound penetrated the thick walls. That worked in her favor; she doubted anyone could hear her bells ring, either. The Sun was low in the sky, shining through a window, and she closed her eyes against the glare. She cursed at Maximillian’s image in her mind—yet it was the same as the man who had treated her so well the night before. No, it wasn’t the same. She would never confuse the cruel lines etched into Maximillian’s visage with Dominick’s starkly handsome face.
Wetness ran down her arm. Looking up, she saw blood ooze out from under one shackle.
Deal with it,
she thought, and kicked her legs to swing again.
On her fifth try, she caught the chain and wedged her foot between it and the wall so she didn’t swing away. Straining, she stretched her other leg to the wheel. Her big toe barely scraped the lock, which consisted of five horizontal levers. She had no idea how the levers corresponded to 1019, if they did at all. For lack of a better idea, she assigned the digits 0 through 9 to the five levers, two for each. Then she pressed out 1019 with her big toe. Each time she pushed a lever, it snapped back up into place.
Nothing.
Gritting her teeth, she reassigned the numbers and tried again. No success. Her third attempt fared no better.
Janelle blew out a gust of air. Holding herself by the chain on the wall eased the strain on her wrists, but her foot ached and her leg was shaking. She scraped the levers with her toe and noticed they tilted backward as well as forward. Maybe that was how they accounted for ten digits. She assigned 0 through 9 to all the positions, forward and backward, and retried the pattern.
Nothing.
Sweat ran into her eyes. Maximillian had probably made up the damn combination. She couldn’t quit, though. She switched numbers and pressed the combination—
The lock snapped open.
With a squeal of metal, the wheel jerked and the chain slid up the wall, rattling against the stone. Janelle’s foot slipped and she swung into the center of the cell, all the time dropping as the chain played out. Her feet smacked the ground and her arms slammed down in front of her. As she sprawled onto her stomach, the clang of the chain hitting the floor rang through the chamber.
For a moment she lay, stunned. Then she sat up, shaking, praying no one had heard. Euphoria swept over her, followed by an urge to cry, then to laugh. No time to hesitate. She pried at the lock on one shackle, but it didn’t budge. With her muscles protesting, she climbed to her feet and limped to the table, dragging the chain. A belt studded with metal spikes lay near the whip. She blanched, hoping she never found out why Maximillian had left it there. She had her own use for it, though. She worked a spike into the shackle, and kept at it until, with a loud snap, the lock clicked open.
As Janelle took off the shackle, blood oozed over her wrist. Ignoring the queasy lurch of her stomach, she went to work on her other wrist. As soon as she was free, she dropped the chain and ran to the closest window. Rising on her toes, she peered through the pane. It looked north, over the plains where Maximillian’s forces had camped, thousands of men and biaquines, more even than she had seen in Dominick’s army. They must have been coming in all day. If she climbed out on this side, anyone down there could see her.
The east window also faced the army. The south overlooked a garden with a fountain. Two women sat on a bench, chatting and eating fruit. The west window faced another tower, and the palace spread out below in a jumble of yards and crooked alleys. She pressed close to the glass and squinted down at her tower. She was in its dome, which curved out and down from the window to a ledge that circled the widest point of the onion. The ledge didn’t look sturdy, but she saw no better options.
The window, however, wouldn’t open. Janelle ran to the table and lugged it across the chamber, her sore arms protesting. She swung it hard at the glass, and the pane shattered under the impact, shards flying into the air. She knocked off the jagged pieces with one of the table legs, acutely aware Maximillian might return any moment. Then she set the table under the window and climbed through the opening, careful of the broken glass around the edges. Finally she was outside, sitting on the slanting dome, balanced high above the world. Wind blew back her hair, and for a heart-stopping instant she felt certain it would knock her off her precarious perch and send her plummeting to the ground far below.
Breathe,
she thought. She waited until her pulse slowed. Still sitting, she inched down the bulb, using friction from her soles to control her descent. She started to slide anyway, until she feared she would hit the ledge and flip into the air. She dragged her palms on the surface, and it burned her skin, but it slowed her descent. With a jolt, her feet smacked the ledge, and she crouched down, fighting for balance. Her heart was beating so hard, she could feel it pumping.
A breeze clinked the bells on her girdle. She held her breath until they quieted and her pulse calmed. Then she inched along the ledge toward a bridge of scrolled grillwork that arched from this dome to the next. Far below, an alley squeezed between the towers.
After what felt like eons, she reached the bridge and climbed onto it, keeping low behind its grill. Then she crouched down, absorbing that she hadn’t fallen to her death.
And now?
She was trapped in a place full of people with no reason to help her and plenty not to. If she reentered the palace, she could be caught. She peered between the scrolled bars of the bridge. The small courtyard below contained no people, only a cart piled with rugs. No ladders descended any wall she could see, but a flimsy trellis with vines and red flowers stretched up the other tower.
Don’t look down.
She checked the doors at both ends of the span, but neither opened from the outside. Finally she clambered over the bridge above the trellis. Gripping the iron, she lowered herself until she was hanging from the bottom of the grillwork. Her feet scraped the trellis. She concentrated on finding a foot-hold and tried to ignore the trembling of her aching arms. But she had hung too long in the cell; her arms gave way and she lost her grip.
With a gasp, Janelle fell down the trellis. She managed to grab the framework and yank to a shoulder-wrenching stop. Immediately she thrust her feet between the slats, taking the weight off her arms, and then she clung there, gulping in air as if it were a rarity she might never again experience. But she couldn’t stop. Clenching her teeth, she resumed her descent. She closed her eyes, narrowing her world to the lowering of her body inch by inch. She waited for the trellis to break, for someone to discover her, for that shout of recognition—
Her foot touched the ground.
Janelle collapsed against the wall. But she had no time to rest; voices were coming from the alley that curved around the tower. She darted into a recessed doorway and knelt in a deep pool of shadow created by the building.
Two men entered the yard carrying boxes. From their conversation, it sounded like they were taking supplies to the monastery. They loaded the cart promptly, with no fuss, and returned to the palace.
Janelle ran to the cart and climbed in the back. She had no wish to end up at a monastery supported by Maximillian, but this might at least get her out of the palace. Working fast, she hollowed out a cavity under the rugs, then squeezed in and hauled the rugs over her body, arranging them as much like before as she could manage. Several sacks of some goods and a crate poked into her cramped hideaway under the rugs. Weighed down by carpets, buried in the sweltering heat, she waited.
The darkness grew close, and the odor of dyed cloth was smothering. Any moment Maximillian would discover her escape and search the area. If this cart hadn’t left by then, she would be in serious trouble. She had been a fool to hide here. She should have snuck into the palace, found some clothes, and pretended to be a servant.
A shout came from the courtyard, and her pulse leapt. Another shout—and with relief, she realized one of the monks was telling the other to hurry up.
The cart jolted into motion. She held her breath, though she knew, logically, they couldn’t hear her through piles of rugs. A different voice called out, and the cart stopped while conversation trickled into her hiding place. Did Maximillian know she was gone?
Let it be something else.
Anything. Maybe a sentry had to check their identification.
The rickety cart started again. Its wheels creaked, planks groaned, and the rugs whispered against each other.
After a while, she breathed more easily. She parted the rugs a bit, to make a spy-hole. They were rolling through the encamped army. It seemed to go on forever, soldiers everywhere, with biaquines, oxen, supplies, and the many helpers who tended to the needs of a military force. Gradually the sea of people thinned out. She couldn’t see much through the hole, only that they were headed toward the mountains.
Janelle lay still, wrestling with her thoughts. She felt as if she were part of a jigsaw puzzle. A prophecy pulled a mathematician from one universe to another; a gate relied on an abstract concept somehow turned into reality; a fabulous hall was named after a mathematician. Dominick understood abstruse theoretical concepts with little background, and his twin also had an unusual knowledge of math.
Why?
She could see the pieces, but not the overall picture.