These grave dancing fairies were very unlike the Grey Women, and they were glad to see the boy, and treated him kindly.  Then they asked him why he had come; and he told them how he was sent to find the Sword of Sharpness and the Cap of Darkness.  And the fairies gave him these, and a wallet, and a shield, and belted the sword, which had a diamond blade, round his waist, and the cap they set on his head, and told him that now even they could not see him though they were fairies.  Then he took it off, and they each kissed him and wished him good fortune, and then they began again their eternal dance round the golden tree, for it is their business to guard it till the new times come, or till the world’s ending.  So the boy put the cap on his head, and hung the wallet round his waist, and the shining shield on his shoulders, and flew beyond the great river that lies coiled like a serpent round the whole world.  And by the banks of that river, there he found the three Terrible Women all asleep beneath a poplar tree, and the dead poplar leaves lay all about them.  Their golden wings were folded and their brass claws were crossed, and two of them slept with their hideous heads beneath their wings like birds, and the serpents in their hair writhed out from under the feathers of gold.  But the youngest slept between her two sisters, and she lay on her back, with her beautiful sad face turned to the sky; and though she slept her eyes were wide open.  If the boy had seen her he would have been changed into stone by the terror and the pity of it, she was so awful; but he had thought of a plan for killing her without looking on her face.  As soon as he caught sight of the three from far off he took his shining shield from his shoulders, and held it up like a mirror, so that he saw the Dreadful Women reflected in it, and did not see the Terrible Head itself.  Then he came nearer and nearer, till he reckoned that he was within a sword’s stroke of the youngest, and he guessed where he should strike a back blow behind him.  Then he drew the Sword of Sharpness and struck once, and the Terrible Head was cut from the shoulders of the creature, and the blood leaped out and struck him like a blow.  But he thrust the Terrible Head into his wallet, and flew away without looking behind.  Then the two Dreadful Sisters who were left wakened, and rose in the air like great birds; and though they could not see him because of his Cap of Darkness, they flew after him up the wind, following by the scent through the clouds, like hounds hunting in a wood.  They came so close that he could hear the clatter of their golden wings, and their shrieks to each other:  “here, here,” “no, there; this way he went,” as they chased him.  But the Shoes of Swiftness flew too fast for them, and at last their cries and the rattle of their wings died away as he crossed the great river that runs round the world.