Polycarp refuses to revile Christ

“... the proconsul asked him whether he was Polycarp. On his confessing that he was, [the proconsul] sought to persuade him to deny [Christ], saying, Have respect to your old age, and other similar things, according to their custom, [such as], Swear by the fortune of Cæsar; repent, and say, Away with the Atheists. But Polycarp, gazing with a stern countenance on all the multitude of the wicked heathen then in the stadium, and waving his hand towards them, while with groans he looked up to heaven, said, Away with the Atheists. Then, the proconsul urging him, and saying, Swear, and I will set you at liberty, reproach Christ; Polycarp declared, Eighty and six years have I served Him, and He never did me any injury: how then can I blaspheme my King and my Saviour?”

Polycarp confesses himself a Christian

“And when the proconsul yet again pressed him, and said, Swear by the fortune of Cæsar, he answered, Since you are vainly urgent that, as you say, I should swear by the fortune of Cæsar, and pretend not to know who and what I am, hear me declare with boldness, I am a Christian. And if you wish to learn what the doctrines of Christianity are, appoint me a day, and you shall hear them.”

No threats have any effect on Polycarp

"The proconsul then said to him, I have wild beasts at hand; to these will I cast you, unless you repent. But he answered, Call them then, for we are not accustomed to repent of what is good in order to adopt that which is evil; and it is well for me to be changed from what is evil to what is righteous. But again the proconsul said to him, I will cause you to be consumed by fire, seeing you despise the wild beasts, if you will not repent. But Polycarp said, You threaten me with fire which burns for an hour, and after a little is extinguished, but are ignorant of the fire of the coming judgment and of eternal punishment, reserved for the ungodly. But why do you tarry? Bring forth what you will."

 The prayer of Polycarp

"O Lord God Almighty, the Father of your beloved and blessed Son Jesus Christ, by whom we have received the knowledge of You, the God of angels and powers, and of every creature, and of the whole race of the righteous who live before you, I give You thanks that You have counted me, worthy of this day and this hour, that I should have a part in the number of Your martyrs, in the cup of your Christ, to the resurrection of eternal life, both of soul and body, through the incorruption [imparted] by the Holy Ghost. Among whom may I be accepted this day before You as a fat and acceptable sacrifice, according as You, the ever-truthful God, have foreordained, have revealed beforehand to me, and now have fulfilled. Wherefore also I praise You for all things, I bless You, I glorify You, along with the everlasting and heavenly Jesus Christ, Your beloved Son, with whom, to You, and the Holy Ghost, be glory both now and to all coming ages. Amen."

The fire did not burn Polycarp

"At length, when those wicked men perceived that his body could not be consumed by the fire, they commanded an executioner to go near and pierce him through with a dagger."

 Taken from an article at http://www.newadvent.org/fathers/0102.htm