The Grand Wheel

He was number 1413721. As a number, he was like an amoeba, able to arrange himself in any pattern of which that number was capable: all its factors, arrays and subsets. When these were arranged in columns they were like his limbs, which he could put out and withdraw at will.

Consciousness of being 1413721 was really all the consciousness he had. He knew that he even had a degree of rarity: he was one of the few numbers to be both a square and a triangular number. But he could sense, in a kind of void or nullity all around him, countless other numbers, many of them more powerful than he, with all kinds of extraordinary properties.

The numbers were jostling for position.

The game was about to begin.

But while number 1413721 waited to discover the nature of this game, he became aware of a massive presence which circled them all like a cosmic snake, and he shrank back. The presence was of a creature of second-order chance; as such, it was infinitely superior to the merely rational numbers gathering to begin play. It was capable of swallowing them all, and there was no escape from it.

This great serpent, this incalculable dragon, was pi, a transcendental number, yielding, when expressed in decimal notation, an infinite table of random numbers. As awareness of this transcendental entity overwhelmed his own awareness, 1413721 experienced terror. He began to disintegrate, to decay like an unstable particle …

Babbling and shaking, Scarne felt the skull-cap snatched from his head. His hands were unable to let go the silver bars and gripped them compulsively as if in electric shock.

Cadence prised them loose. Scarne swung round in his bucket seat. Soma, wearing the monitor cap, looked stunned.

Tearing the monitor cap from his head, the Wheel man stood up and towered over Scarne. His voice was harsh. ‘What did you think you were doing, Scarne? What happened to you in there, for Lady’s sake?’

‘I don’t know. I got scared.’

‘Scared? Scared of what?’ Soma seemed angry and impatient.

‘Pi. I got swallowed up by pi.’ Scarne tried to stop shaking. ‘I was a number. Just an ordinary little rational number, and then I met up with pi.’

Soma calmed down and became thoughtful. He paced the training-room.

‘Have you ever experienced anything like this before?’

‘Like being a number?’

‘Yes.’

Scarne hesitated. ‘Well, as a mathematician I’m used to contemplating mathematical concepts like numbers. Trying to get inside the essence of some particular number, for instance. I suppose that’s what the numbers identity machine does for you.’

Soma nodded. ‘It identifies your attention with a particular number – any number – but at the same time it removes your own identity. You’re just left with the number.’ He paused. ‘Pi. Fermats use it, don’t they? As a basis for randomness.’

‘Most of them. In fact many fermats spend their time calculating pi indefinitely.’ Scarne was alarmed by the puzzlement on Soma’s face. ‘What’s wrong? Wasn’t I supposed to meet pi?’

‘No.’

‘Does the machine use that number, itself?’

‘I believe pi plays some role in the mechanism. But not in the games arena – the part your mind had access to.’

‘Maybe there’s a fault in the machine.’

‘More likely your imagination’s overworked.’ Soma shrugged. ‘I’ll have it checked over. Meantime we’ll call it a day. You look overwrought.’

He glanced back as he strode from the room. ‘See he gets some rest, Cadence.’

Scarne rose shakily from his chair and followed Cadence to a cubicle which took them back to his apartment. She looked at him sympathetically as she switched on lights for him.

‘You do look bushed at that.’

‘It’s been a harder day than I realized,’ Scarne admitted. ‘I didn’t sleep much last night, either.’

‘You’d better hit the sack. And don’t worry; you did all right.’

‘Thanks.’

‘You did marvellously, in fact.’ She smiled, glancing up and down at him, and left.

Exhausted, he undressed and dropped into bed, falling instantly asleep.

He was awakened hours later by the sound of someone moving near him. The coverlet was lifted. A girl’s naked body slipped in beside him.

‘How are you feeling now?’ Cadence’s voice said softly.

‘Better,’ he said sleepily. ‘What are you doing here?’

‘My room’s right next to yours. Didn’t I tell you? I’m supposed to keep you happy. All part of the service.’

‘I thought you were Soma’s girl.’

‘Jerry? No.’ She chuckled, a trifle bitterly. ‘He has other girls, not like me at all.’

Her hand stroked his chest. ‘Look,’ Scarne said, half-turning to her, ‘you don’t have to. If you don’t want.’

‘Suppose I do want?’ she said impishly, her hand straying lower. ‘Never let it be said my heart’s not in my job.’

He reached out and ran his hand over her body. She was not bad, quite cute; a little bit flabby, not too much.

They pressed themselves into one another’s arms.

During the next few days Scarne continued his training at the Make-Out Club. Soma kept him off the numbers machine; but he practised on the other identity machines, gradually improving his performance.