three structures a perfectly smooth, polished white surface. How they must have glistened, like prisms of salt! Using surveying instruments, we calculated that the Great Pyramid, when it came to a precise point, had a height of 480 feet, more than a hundred feet higher than the pinnacle of the cathedral of Amiens, the tallest in France. The Egyptians used only 203 tiers of masonry to reach this prodigious altitude. We measured the slope of its side at fifty-one degrees, precisely that needed to make height and half its circumference equal to both pi and Jomard’s Fibonacci sequence.

Despite this eerie coincidence, the pyramids’ purpose still eluded me. As art they were sublime. For utility, they seemed nonsensical. Here were buildings so smooth when built that no one could stand on them, housing corridors awkward for humans to negotiate, leading to chambers that seemed never to have been occupied, and codifying mathematics that seemed obscure to all but a specialist.

Monge said the whole business probably had something to do with religion. ‘Five thousand years from now, will people understand the motive behind Notre Dame?’

‘You’d better not let the priests hear you say that.’

‘Priests are obsolete; science is the new religion. To the ancient Egyptians, religion was their science, and magic an attempt to manipulate what couldn’t be understood. Mankind then advanced from a past in which every tribe and nation had its own groups of gods to one in which many nations worship one god. Still, there are many faiths, each calling the others heretics. Now we have science, based not on faith, but reason and experiment, and centred not on one nation, or pope, or king, but universal law. It doesn’t matter if you are Chinese or German, or speak Arabic or Spanish: science is the same. That’s why it will triumph, and why the Church instinctively feared Galileo. But this structure behind us was built by a particular people with particular beliefs, and we might never rediscover their reasoning because it was based on religious mysticism we can’t comprehend. It would help if we could someday decipher hieroglyphics.’

I couldn’t disagree with this prediction – I was a Franklin man, after all – and yet I had to wonder why science, if so universal, hadn’t swept all before it already. Why were people still religious? Science was clever but cold, explanatory and yet silent on the biggest questions. It answered how but not why, and thus left people yearning. I suspected people of the future would understand Notre Dame, just as we understand a Roman temple. And, perhaps, worship and fear in much the same way. The revolutionaries in their rationalist fervour were missing something, I thought, and what was missing was heart, or soul. Did science have room for that, or hopes of an afterlife?

I said none of this, however, simply replying, ‘What if it’s simpler than that, Doctor Monge? What if the pyramid is simply a tomb?’

‘I’ve been thinking about that and it presents a fascinating paradox, Gage. Suppose it was supposed to be, at least principally, a tomb. Its very size creates its own problem, does it not? The more elaborately you build a pyramid to safeguard a mummy, the more you call attention to the mummy’s location. It must have been a dilemma for pharaohs seeking to preserve their remains for all eternity.’

‘I’ve thought of another dilemma as well,’ I replied. ‘The pharaoh hopes to be undisturbed for eternity. Yet the perfect crime is one that no one realises has occurred. If you wanted to rob the tomb of your master, what better way than to do it just before it is sealed up, because once it is, no one can discover the theft! If this is a tomb, it relied on the faithfulness of those closing it. Who could the pharaoh trust?’

‘Unproven belief again!’ Monge laughed.

Mentally, I reviewed what I knew about the medallion. A bisected circle: a symbol, perhaps, for pi. A map of the constellation containing the ancient polar star in its upper half. A symbol for water below. Hash marks arranged in a delta like a pyramid. Perhaps the water was the Nile, and the marks represented the Great Pyramid, but why not etch a simple triangle? Enoch had said that the emblem seemed incomplete, but where to find the rest? The shaft of Min, in some long-lost temple? It seemed a joke. I tried to think like Franklin, but I was not his match. He could toy with thunderbolts one day and found a new nation the next. Could the pyramids have attracted lightning and converted it into power? Was the entire pyramid some kind of Leyden jar? I hadn’t heard a roll of thunder or seen a drop of rain since we’d arrived in Egypt.

Monge left to join Bonaparte for the official christening of the new Institute of Egypt. There the savants were at work on everything from devising ways to ferment alcohol or bake bread (with sunflower stalks, since Egypt lacked adequate wood) to cataloguing Egypt’s wildlife. Conte had set up a workshop to replace equipment, such as printing presses, that had been lost with the destruction of the fleet at Abukir. He was the kind of tinkerer who could make anything from anything. Jomard and I lingered in the pinks and gold of the desert, laboriously unreeling tapes, pitching aside rubble, and measuring angles with surveying staffs. Three days and nights we spent, watching the stars wheel around the tips of the pyramids and debating what the monuments might be for.

By morning of the fourth day, bored with the meticulous work and inconclusive speculation, I wandered to a viewpoint overlooking Cairo across the river. There I saw a curious sight. Conte had apparently manufactured enough hydrogen to inflate a balloon. The coated silk bag looked to be about forty feet in diameter, its top half covered with a net from which ropes extended downward to hold a wicker basket. It hovered on its tether a hundred feet off the ground, drawing a small crowd. I studied it through Jomard’s telescope. All those watching appeared to be Europeans.

So far the Arabs had displayed little wonder about Western technology. They seemed to regard us as a temporary intrusion of clever infidels, obsessed with mechanical tricks and careless with our souls. I’d earlier enlisted Conte’s help to make a cranked friction generator for a store of electricity in what Franklin had called a battery, and was invited by the savants to give a mild shock to some of Cairo’s mullahs. The Egyptians gamely joined hands, I jolted the first with a charge from my Leyden jar, and they all jumped in turn as the current passed through them, provoking great consternation and laughter. But after their initial surprise they seemed more amused than awed. Electricity was cheap magic, good for nothing but parlour games.

It was while watching the balloon that I noticed a long column of French soldiers issue from Cairo’s southern gate. Their regularity was a marked contrast to the mobs of merchants and camel drovers who clustered around the city’s entrances. The soldiers tramped in a line of blue and white, regimental banners limp in the hot air. On and on the ranks came, a glittering file undulating like a millipede, until it seemed a full division. Some of the force was mounted, and more horses pulled two small field guns.

I called to Jomard and he joined me, focusing the spyglass. ‘It is General Desaix, off to chase the elusive Murad Bey,’ he said. ‘His troops are going to explore and conquer an upper Egypt that few Europeans have ever seen.’

‘So the war isn’t over.’

He laughed. ‘We’re talking about Bonaparte! War will never be over for him.’ He continued to study the column, dust drifting ahead of the soldiers as if to announce their coming. I could imagine them good-naturedly cursing it, their mouths full of grit. ‘I think I see your old friend as well.’

‘Old friend?’

‘Here, look for yourself.’

Near the column’s head was a man in turban and robes with half a dozen Bedouin riding as bodyguard. One of his henchmen held a parasol above his head. I could see the slim rapier bouncing on his hip and the fine black stallion he’d purchased in Cairo: Silano. Someone smaller rode by his side, swathed in robes. A personal servant, perhaps.

‘Good riddance.’

‘I envy him,’ Jomard said. ‘What discoveries they’ll make!’

Had Silano given up his quest for the medallion? Or gone to look for its missing piece in Enoch’s southern temple? I picked out Bin Sadr as well. He was leading the Bedouin bodyguard, rocking easily on the back of a camel while holding his staff.

Had I avoided them? Or were they escaping me?

I looked again at the smaller, shrouded figure and felt disquiet. Had I been too obedient, lingering at the pyramids too long? Who was that riding at Silano’s side?

I knew of him, she had confirmed.

And she had never explained what, precisely, that meant.

I snapped the telescope shut. ‘I have to get back to Cairo.’

‘You can’t go, by Bonaparte’s orders. We need a compelling hypothesis first.’

But something disastrous had happened in my absence, I feared, and I realised that by staying out so long,

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