‘What do you mean?’
‘I will need to check my guess against Jomard’s figures, but if we extrapolate the pyramid’s slope to its original peak, a bit higher than it is now, and compare its height to the length of two of its sides, I believe we arrive at one of the most fundamental numbers in all mathematics: pi.’
‘Pi?’
‘The ratio of a circle’s diameter to its circumference, Gage, is considered by many cultures to be sacred. It’s about twenty-two parts to seven, or 3.1415… the number has never been completely computed. Still, every culture has tried to come as close as they can. The ancient Egyptians came up with 3.160. The pyramid’s ratio of height to two of its sides appears to come very close to that number.’
‘The pyramid stands for pi?’
‘It was built, perhaps, to conform to the Egyptian value of that number.’
‘But again, why?’
‘Once more we butt up against ancient mysteries. But it’s interesting, is it not, that your medallion included a diameter inside a circle? Too bad you lost it. Or did you?’
Interesting? It was a revelation. For weeks I’d been journeying blindly. Now I felt like I knew definitely what the medallion was pointing to: the pyramid behind me.
CHAPTER SEVENTEEN
I reluctantly stayed as ordered to help Jomard and Monge make more measurements of the pyramids, sharing the tent they’d staked a short distance from the Sphinx. After having promised a quick return, I was uneasy being such a distance from Astiza and the medallion, especially with Silano in Cairo. But if I ignored Napoleon’s very public command I risked being arrested. Besides, I felt I was getting closer to the secret. Perhaps the medallion was a map to another passageway in the big heap of stone. Then there was October 21 ^ st, a date I’d plucked off the lost ancient calendar that might or might not have any accuracy or significance, and was still two months away. I didn’t know how any of this fit together, but maybe the savants would turn up another clue. So I sent a message to Enoch’s house, explaining my predicament and asking that he get word to Yusuf’s harem of my delay. At least I knew what I should be looking at, I added. I simply lacked clear understanding of what I should be looking for.
My temporary exile from the city was not entirely bad. Enoch’s house was confining and Cairo noisy, while the empty silence of the desert was a respite. A company of soldiers bivouacked in the sand to protect us against roaming Bedouin and Mamelukes, and I told myself that staying here a couple nights might actually be the safest thing for Astiza and Enoch, since my absence should deflect attention from them. Silano had hopefully accepted my story that the medallion was at the bottom of Abukir Bay. I’d not forgotten poor Talma, but proof of his killer, and revenge, would have to wait. In short I pretended, as humans are wont to do, that the worst was for the best.
As I’ve said, there are three large pyramids at Giza, and all three have small passageways and chambers that are empty. Kephren’s pyramid is still covered at its top by the kind of limestone casing that at one time gave all 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.