‘Don’t, Achilles! They’ll smash you to pulp!’

I laughed at him.

It was much easier on the ground; I passed the word to my Myrmidons.

‘Forget the size of the horses. Come in under their feet – they won’t kill our horses, but we’ll kill theirs. A horse down is as good as a rider down.’

The Myrmidons followed my lead without hesitation. Some got maimed and battered beneath Amazon horses, but most stood their ground amid the deluge of arrows, slashing at hairy bellies, skirted legs, straining equine throats. Because they were neat and quick, because my father and I had never discouraged initiative or versatility in any one of them, they got away with it and forced the Amazons into worried retreat. A costly victory. The field was littered with Myrmidon dead. But they had won the moment. Uplifted, they were ready to kill more Amazons, more Amazon horses.

I heaved myself up beside Automedon again and searched for Penthesileia herself. There! In the midst of her women, trying to rally them. I nodded to Automedon.

‘Forward, at the Queen.’

I led the charge at her lines in my car, before they were prepared. Arrows met us all the same; Automedon shouldered a shield to protect himself. But I couldn’t get close enough to her to harm her. Three times she managed to drive us off, all the while battling to re-form her lines. Automedon was panting and weeping, unable to command my three white stallions the way Patrokles had.

‘Give me the reins.’

Their names were Xanthos, Balios and Podargos, and I called to each of them by his name, asking him for his heart. They heard me, though Patrokles was not there to answer for them. Oh, that was good! I could think of him without guilt.

Without need of the whip they went in again, big enough themselves to shoulder the Amazon beasts aside. Shouting my war cry, I gave Automedon the reins and took up Old Pelion. Queen Penthesileia was within range and moving closer, her warriors in worse disorder than they had been before. Poor woman, she didn’t have the gift of generalship. Closer, closer… She had to swing her white mare to one side to avoid crashing into my team. Her pale eyes blazed, her side was presented for Old Pelion. But I couldn’t throw. I saluted her and ordered a withdrawal.

A riderless Amazon horse – they seemed all mares – was tethered to its own feet, reins beneath one. As Automedon drove past I reached out, hauled the reins from under the mare’s hoof and compelled her to follow us.

Once out of the turmoil I jumped down from the car and surveyed the Amazon horse. Would she like a male smell? How could I get myself seated in that leathery frame?

Automedon went pale. ‘Achilles, what are you doing?’

‘She wasn’t afraid to die, she deserves a better death. I’ll fight her as an equal – her axe to mine, from the back of a horse.’

‘Are you mad? We can’t ride horses!’

‘Not now, but after seeing how the Amazons manage to, do you think we won’t learn?’

I scrambled onto the mare’s back by using my chariot wheel as a step; the corners of the frame were stoutly knobbed, which meant I had great trouble edging into it, for it was too small. But once there, I was amazed. Remaining upright and balanced was so easy! The only difficulty was my legs, which hung down unsupported. My mare was shivering, but by luck I seemed to have chosen a placid-natured beast; when I thumped her on the shoulder and yanked the reins to turn her round, she obeyed. I was horsed; the first man in the world to be so.

Automedon handed me my axe, but the man-sized shield was out of the question. One of my Myrmidons ran up, grinning, to hand me a little round Amazon shield.

Myrmidons following with yells of delight, I charged into the midst of the women warriors, aiming for the Queen. In the crush my mount couldn’t move much faster than a snail, and had grown used to me besides. Perhaps all that weight cowed her.

When I saw the Queen I sent my war cry winging to her.

Shrieking her own bizarre, ululating call, she wheeled to face me, pushing her white mare through the crowd with her knees – I learned a new trick – as she slung her bow across her back and transferred her right hand to a golden axe. Some sharp order she gave made her warriors fall back to form a half circle, my Myrmidons eagerly making up its other half. The battle must have been going all our way in other parts of the field, for among the Myrmidon observers I saw troops belonging to Diomedes, and the dark, unpleasant face of his cousin Thersites. What was Thersites doing here? He was co-commander of Odysseus’s spies.

‘You are Achilles?’ the Queen called in atrocious Greek.

‘I am!’

She trotted closer, her axe lying along her mare’s shoulder, her shield steady. Knowing myself green at this new form of the duel, I decided to make her use her tricks first, trusting to my luck to stay out of trouble until I felt more comfortable. She flung her steed sideways and swung like lightning, but I pulled away in time and took the blow on the bullhide shield, wishing I had one of iron and that size. Her blade bit deep, emerging free of the leather as cleanly as a knife paring cheese. She was no general, but she could fight. So could my brown mare, which seemed to know when to turn before I did. Learning, I swung my axe and missed by a fraction. Then I tried her own trick, crashing into her white mare. Her eyes opened wide; she laughed at me above the rim of her shield. Getting the feel of each other, we exchanged blows with ever increasing speed; the axes resonated and struck sparks. I could feel the power in her arm, and admitted her consummate skill. Her axe was much smaller than mine, designed for one-handed use, which made her a very dangerous foe; the best I could do with my own weapon was to grasp its handle much closer to its head than I normally did, using my right hand only. I kept to her right and forced her to crack her muscles, stopping each of her lunges with a power that jarred her to the marrow.

I could long have outlasted her in strength, but I hated to see her pride humbled. Better to end it swiftly and honourably. As she realised her course was run she lifted her eyes to mine and consented silently; then she tried one final, desperate trick. The white horse reared high, twisting as she came down, thudding against my mount with such impetus that she stumbled, hooves slipping. As I held her together with voice and left hand and heels, the axe descended. I raised my own axe to meet it and push it aside, then did not hesitate. Penthesileia’s side was bare and took my blade like unfired clay. Not trusting her while she remained upright, I wrenched it out again quickly, but the hand groping for her dagger wasn’t strong enough. Scarlet streams gushing over the white mare’s hide, she tottered. I slid off my own mare to catch her before she married the earth.

Her weight bore me to the ground, where I knelt with her head and shoulders in my arms, feeling for her pulse. She was not yet dead, but her shade was called. She looked at me out of eyes as blue and pale as sunstruck water.

‘I prayed that it would be you,’ she said.

‘The King should die at the hands of the worthiest foe,’ I said, ‘and you are King in Skythia.’

‘I thank you for ending it too quickly to betray my lack of your strength, and I absolve you of my death in the name of the Archer Maid.’

The death rattle came, but her lips still moved. I bent over to hear.

‘When the Queen dies under the Axe, she must breathe her last into the mouth of her slayer, who will rule after her.’ A cough; she struggled to continue. ‘Take my breath. Take my spirit until you too are a shade and I must ask it back.’

Her mouth was free of blood; with all of her remaining she breathed into me, and so died. The spell broken, I lowered her carefully to earth and stood up. Screaming their grief and despair, her warriors charged me, but the Myrmidons stepped in front of me and gave me the chance to lead my brown mare off the field, find Automedon. That wood and leather frame was a prize worth more than rubies.