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Foucault’s Pendulum
pillbox I had seen in Brazil, and turned it in his thin, tapering fingers, which earlier had caressed his favorite books. He raised his eyes toward the figures on the ceiling and recited, as if from a text he had long known by heart:

“The author of this book no doubt reminds us that Piazzi Smyth discovered the sacred and esoteric measurements of the pyramids in 1864. Allow me to round off to whole numbers; at my age the memory begins to fail a bit….Their base is a square; each side measures two hundred and thirty-two meters.

Originally the height was one hundred and forty-eight meters. If we convert into sacred Egyptian cubits, we obtain a base of three hundred and sixty-six; in other words, the number of days in a leap year. For Piazzi Smyth, the height multiplied by ten to the ninth gives the distance between the earth and the sun: one hundred and forty-eight million kilometers.

A good estimate at the time, since today the calculated distance is one hundred and forty-nine and a half million kilometers, and the moderns are not necessarily right. The base divided by the width of one of the stones is three hundred and sixty-five. The perimeter of the base is nine hundred and thirty-one meters. Divide by twice the height, and you get 3.14, the number π. Splendid, no?”

Belbo smiled and looked embarrassed. “Incredible! Tell me how you—”
“Let Dr. Agliè go on, Jacopo,” Diotallevi said.
Agliè thanked him with a nod. His gaze wandered the ceiling as he spoke, but it seemed to me that the path his eyes followed was neither idle nor random, that they were reading, in those images, what he only pretended to be digging from his memory.

Now, from apex to base, the volume of the Great Pyramid in cubic inches is approximately 161,000,000,000. How many human souls, then, have lived on the earth from Adam to the present day? Somewhere between 153,000,000,000 and 171,900,000,000.
—Piazzi Smyth, Our Inheritance in the Great Pyramid, London, Isbister, 1880, p. 583

“I imagine your author holds that the height of the pyramid of Cheops is equal to the square root of the sum of the areas of all its sides. The measurements must be made in feet, the foot being closer to the Egyptian and Hebrew cubit, and not in meters, for the meter is an abstract length invented in modern times.

The Egyptian cubit comes to 1.728 feet. If we do not know the precise height, we can use the pyramidion, which was the small pyramid set atop the Great Pyramid, to form its tip. It was of gold or some other metal that shone in the sun.

Take the height of the pyramidion, multiply it by the height of the whole pyramid, multiply the total by ten to the fifth, and we obtain the circumference of the earth. What’s more, if you multiply the perimeter of the base by twenty-four to the third divided by two, you get the earth’s radius. Further, the area of the base of the pyramid multiplied by ninety-six times ten to the eighth gives us one hundred and ninety-six million eight hundred and ten thousand square miles, which is the surface area of the earth. Am I right?”

Belbo liked to convey amazement with an expression he had learned in the cinematheque, from the original-language version of Yankee Doodle Dandy, starring James Cagney: “I’m flabbergasted!” This is what he said now. Agliè also knew colloquial English, apparently, because he couldn’t hide his satisfaction at this tribute to his vanity. “My friends,” he said, “when a gentleman, whose name is unknown to me, pens a compilation on the mystery of the pyramids, he can say only what by now even children know. I would have been surprised if he had said anything new.”

“So the writer is simply repeating established truths?”
“Truths?” Agliè laughed, and again opened for us the box of his deformed and delicious cigars. “Quid est veritas, as a friend of mine said many years ago. Most of it is nonsense. To begin with, if you divide the base of the pyramid by exactly twice the height, and do not round off, you don’t get π, you get 3.1417254.

A small difference, but essential. Further, a disciple of Piazzi Smyth, Flinders Petrie, who also measured Stonehenge, reports that one day he caught the master chipping at a granite wall of the royal antechamber, to make his sums work out…. Gossip, perhaps, but Piazzi Smyth was not a man to inspire trust; you had only to see the way he tied his cravat. Still, amid all the nonsense there are some unimpeachable truths. Gentlemen, would you follow me to the window?”

He threw open the shutters dramatically and pointed. At the corner of the narrow street and the broad avenue, stood a little wooden kiosk, where, presumably, lottery tickets were sold.
“Gentlemen,” he said, “I invite you to go and measure that kiosk.

You will see that the length of the counter is one hundred and forty-nine centimeters—in other words, one hundred-billionth of the distance between the earth and the sun. The height at the rear, one hundred and seventy-six centimeters, divided by the width of the window, fifty-six centimeters, is 3.14. The height at the front is nineteen decimeters, equal, in other words, to the number of years of the Greek lunar cycle.

The sum of the heights of the two front corners and the two rear corners is one hundred and ninety times two plus one hundred and seventy-six times two, which equals seven hundred and thirty-two, the date of the victory at Poitiers. The thickness of the counter is 3.10 centimeters, and the width of the cornice of the window is 8.8 centimeters. Replacing the numbers before the decimals by the corresponding letters of the alphabet, we obtain C for ten and H for eight, or C10H8, which is the formula for naphthalene.”

“Fantastic,” I said. “You did all these measurements?”
“No,” Agliè said. “They were done on another kiosk, by a certain Jean-Pierre Adam. But I would assume that all lottery kiosks have more or less the same dimensions. With numbers you can do anything you like. Suppose I have the sacred number 9 and I want to get the number 1314, date of the execution of Jacques de Molay—a date dear to anyone who, like me, professes devotion to the Templar tradition of knighthood.

What do I do? I multiply nine by one hundred and forty-six, the fateful day of the destruction of Carthage. How did I arrive at this? I divided thirteen hundred and fourteen by two, by three, et cetera, until I found a satisfying date. I could also have divided thirteen hundred and fourteen by 6.28, the double of 3.14, and I would have got two hundred and nine. That is the year Attalus I, king of Pergamon, ascended the throne. You see?”

“Then you don’t believe in numerologies of any kind,” Diotallevi said, disappointed.
“On the contrary, I believe firmly. I believe the universe is a great symphony of numerical correspondences, I believe that numbers and their symbolisms provide a path to special knowledge. But if the world, below and above, is a system of correspondences where tout se tient, it’s natural for the kiosk and the pyramid, both works of man, to reproduce in their structure, unconsciously, the harmonies of the cosmos.

The so-called pyramidologists discover with their incredibly tortuous methods a straightforward truth, a truth far more ancient, and one already known. It is the logic of research and discovery that is tortuous, because it is the logic of science. Whereas the logic of knowledge needs no discovery, because it knows already. Why must it demonstrate that which could not be otherwise? If there is a secret, it is much more profound. These authors of yours remain simply on the surface. I imagine this one also repeats all the tales of how the Egyptians knew about electricity….”

“I won’t ask how you managed to guess.”
“You see? They are content with electricity, like any old Marconi. The hypothesis of radioactivity would be less puerile. There is an interesting idea. Unlike the electricity hypothesis, it would explain the much vaunted curse of Tutankhamen. And how were the Egyptians able to lift the blocks of the pyramids?

Can you lift boulders with electric shocks, can you make them fly with nuclear fission? No, the Egyptians found a way to eliminate the force of gravity; they possessed the secret of levitation. Another form of energy … It is known that the Chaldean priests operated sacred machines by sounds alone, and the priests of Karnak and Thebes could open the doors of a temple with only their voice—and what else could be the origin, if you think about it, of the legend of Open Sesame?”

“So?” Belbo asked.
“Now here’s the point, my friend. Electricity, radioactivity, atomic energy—the true initiate knows that these are metaphors, masks, conventional lies, or, at most, pathetic surrogates, for an ancestral, forgotten force, a force the initiate seeks and one day will know. We should speak perhaps”—he hesitated a moment—“of telluric currents.”
“What?” one of us asked, I forget who.

Agliè seemed disappointed. “You see? I was beginning to hope that among your prospective authors one had appeared who could tell me something more interesting. But it grows late. Very well, my friends, our pact is made; the rest was just the rambling of an elderly scholar.”

As he held out his hand to us, the butler entered and murmured something in his ear. “Ah, the sweet friend,” Agliè said, “I had forgotten. Ask her to wait a moment….No, not

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pillbox I had seen in Brazil, and turned it in his thin, tapering fingers, which earlier had caressed his favorite books. He raised his eyes toward the figures on the