urban gossips back home? Even to a mortal king like Philip, those people counted for little.

The jury shuffled and muttered. Though Swallow was used to forensic hyperbole, even he was beginning to resent the constant belittling of Greeks by the Macedonians. On this point alone, if only half of what Machon claimed was true, Aeschines’ prosecution was in deep trouble.

While these arguments raged behind closed doors, the Macedonians diverted themselves with contests. Actors, athletes, raconteurs and musicians from home came in a procession down the Royal Road from Sardis. Among them was Thettalus the actor, who has appeared to great acclaim in the plays of Sophocles here and in the palace at Pella, where he first became familiar with Alexander. In the years before his ascension the Prince often used Thettalus as his unofficial envoy. With his military success he did not forget his friend. At Alexander’s eager expense, Thettalus was given a free hand to produce Euripides’ Bacchae anywhere he wished at Persepolis.

Thettalus chose a great processional staircase of Darius’s palace as a backdrop. This represented the reception hall of Pentheus, King of Thebes. As you know, at the climax of the play Pentheus attempts to spy on the rites of Dionysus by dressing as a woman, but is unmasked by the crazed celebrants. In an inspired bit of stagecraft, Thettalus has Pentheus escape not into a fir tree, but atop one of the great carved statues of Darius. The audience roared with delight as the maenads toppled the statue to get at Pentheus, who was played with great skill by Thettalus himself. They sat in wonder as the actor playing Pentheus’s mother, in ecstatic thrall to the god, foaming at the mouth, ignored her son’s pathetic pleas and ripped his arm from its socket. Here again, Thettalus was an innovator, for the act is performed onstage as the Messenger describes it. Cleverly, Thettalus fashioned a costume with a sham arm, having subtly withdrawn his own arm under his cloak. This production bore the kind of spectacle we never see in the Theatre of Dionysus, but judging by the response of Macedonians and Persians alike, it may represent the future. Now there is a true master of the stage, unlike the mediocre arts of our friend Aeschines!

Other kinds of performers also made their way to Alexander. I am thinking in particular of a courtesan named Thais. She was quite well-known here in years past-I see by the reactions of some gentlemen in the jury that they remember her. In her time she had beauty, but please understand, she was the kind of woman who was beautiful no matter what she looked like.

Today you will find her preparing to join Ptolemy on the throne of Egypt. That she came into alliance with that character I take as no surprise-Ptolemy deserves her. For those who never purchased her services, you know the type: to strangers, impeccable, unapproachable, unimpeachable. Show her a few drachmas, and she is your best friend, bursting with a thousand ideas of how to spend your money so you don’t appear a fool. Show her a few more, and she is brazen, gutter-mouthed, leaving you panting but with her legs firmly closed. The cost of unsticking those gams was never quite clear! But when you hammered at her gates, they say she earned her nickname, which was ‘the Handshake.’

So it came to be that Thais talked her way through the palace doors and onto a couch in Alexander’s drinking parlor. She was quiet at first, just sitting and showing off her white arms through her chiton, contenting herself just to keep up with all of us, all the hardened soldiers, cup for cup and crater for crater. The conversation touched on diverse topics, including politics, food, and the follies of certain mathematical cults. Thais was prepared to hold forth on all of them, taking Callisthenes’ side in a debate with the King and myself over the existence of the so- called “irrational” numbers.

“It cannot be denied,” proclaimed the historian, “that if we imagine a square with a side length of one unit, the diagonal of that square will be the square root of two. Try as we might, we cannot find a fixed unit of any length that will evenly divide both into the side length or the diagonal. They are, as the Pythagoreans call it, incommensurable.”

“Short of trying every possible common unit, I cannot understand how you can know that,” I told him.

“Your opinion is shared by others,” Thais said. “The man who first proved the existence of irrational numbers was expelled from the order of the Pythagoreans. His colleagues gave him a funeral and a tomb, as if his suggestion amounted to intellectual suicide.”

“And yet Hippasus was correct,” added Callisthenes.

Alexander shook his head. “I take the soldier’s part, and agree with Machon. No one can claim to know no common factor exists unless he tries them all.”

“Then why don’t we try here, now?” asked Thais. With that, she untied her girdle and knelt on the floor. The mosaic in the center of the room had a pattern that seemed close to perfectly square. Folding the girdle into a length equivalent to the side of the figure, she first showed that the diagonal of the square was almost half again as long as the side. As she demonstrated this fact the men were not watching the girdle at all, but the casual exposure of a breast as firm and unshriveled as a virgin girl’s.

No matter how many times she folded the girdle, from one-half to one-quarter to one-eighth the length of the side, no number of whole units fit into the diagonal. There was always some material left over. (A dark aureole likewise insisted on presenting itself, standing free of her folds.)

“So you see, they are incommensurable.”

“A most revealing demonstration!” applauded Callisthenes.

“Revealing, yes, but no demonstration,” said the King. “I can imagine units much smaller than we can make with a piece of cloth. How do we know none of these may factor evenly into both lines?”

“We know, because it is a matter of mathematical proof.”

The argument went on for some time with neither side convincing the other. But as competent as Thais was on matters geometrical, she took over the room as the wine flowed and the men grew tongue-tied. She picked up the cithara and played a romantic air, then played it again with racy lyrics she made up on the spot. Verses from Homer, Hesiod, and Pindar tripped lightly from her tongue, but especially lines from Euripides, for she had done her homework. And she danced, creating music in the men’s minds by the swaying of her hips, hiking up her gown to show her upper thighs.

By the climax of the evening all of us were gazing at her with our aspirations plain, including the King, who blushed like a lovesick boy with his pleasure of her. But before any propositions flew, she suddenly turned the conversation to matters of politics, and of history.

“Mine was a wealthy family,” she said, “before the Persians came to Attica. We had farms near Dekeleia, and a townhouse. My ancestors drew liturgies-they ran at the battle of Marathon, commanded ships at Salamis. There was a tripod dedicated to a first-place finish at the Festival of Dionysus. It was destroyed when Mardonius burned the city on his second occupation…”

As she said this, all hint of titillation went out of her manner. She was intimate, confessional, showing far more than just arms and thighs. Who was she speaking to? We all thought it was to ourselves alone, her deference to Alexander notwithstanding. As she spoke of the fires of Mardonius, the flames of the braziers shone in her eyes. A stray lock of hair, so fetching as it came loose in her dance, was threaded back behind her ear, like that of a windblown child standing at the foot of the burning Acropolis.

“My family never recovered from the Great King’s predations. To survive, my mother was forced to board her children to different houses around the city. What ‘boarding’ meant was not hard to understand: for a fee, we were placed in the power of unscrupulous men with little regard for our age. I was sent into the service of a man named Bitto, who owned a house not far from the Whispering Hermes. On pain of beating, I was forced to cooperate with his criminal enterprise: having been blessed-or cursed-with a pretty face, I was obliged to show myself to the male passersby in the street. When the inevitable insults came, I was to let them into the house, and let them have their way with me. This would go on until Bitto contrived to ‘surprise’ us in the act. Pretending to fly into a rage over the insult of his only daughter, he would lock the men in the house and declare that he would return with others of his family, so that they could together seek the justice they had coming. Naturally, the dupes promised any sort of payment to avoid their fate.

“With this blackmail, and by my ruin, Bitto attained quite a high style of living. That none of the victims suspected that I was no longer innocent I put down to my age-just ten years old-and the foolishness of most men regarding the anatomy of women. With experience, I was able to fool most of them by offering my anus instead, or even a chance to rub themselves between my thighs, so ignorant were they! Yet as the months passed I fell more into despair, for there seemed no way for me to escape the power of this Bitto. And so with my hopelessness I lost my fear, and swore before the gods that I would live to turn the tables on him.

“My opportunity came when I took into my bed an older man named Evaces. This fellow was very pleasing to me, for he was courteous, and wore nice clothes, and seemed to have few vices except for a weakness for young

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