Abhimanyu and his death

Abhimanyu, the son of Arjuna and Subhadraadevi, was a very great warrier.It is explained that Abhimanyu learned the required technique of chakravyuha when he was still inside his mother Subhadra's womb when Arjuna discussed the formation and its conquest with his wife Subhadra. Subhadra fell asleep as Arjuna was explaining, and with his lesson still incomplete, Arjuna was called away by Krishna for the Khandava Forest extermination. Arjuna never got to tell Subhadra how to escape from the Padmavyūha once inside it.
The thirteenth day of Mahabharata War is remembered for the construction of Chakravyūha by Dronacharya. It was a very special day both for Kauravas and Pandavas. On this day, Jayadratha from the Kauravas side and Abhimanyu from the Pandavas side played a pivotal role. Jayadratha was very effective in stopping four of the five pandavas from entering Chakravyūha (by making use of a boon granted to him by Lord Shiva); Abhimanyu was very effective in holding all the Kaurava Mahārathis (Great Charioteers, colloquially 'Great Warriors') at bay and thereby preventing the advancement of Kaurava forces towards the Pandavas.
The young Abhimanyu, without due to lack of this knowledge, was killed in battle during the thirteenth day of the Kuruskshetra war as he was persevering without success to take himself out of the Chakravyūha. The Mahabharata also describes how the rules of war were broken by Kauravas to kill Abhimanyu. After Abhimanyu had penetrated the sixth tier of the spiral formation, all the great Kaurava heroes, older and more experienced than him, engaged him simultaneously. This was an act against the rules of Dharmayuddha, which prohibits multiple fighters from taking on a lone warrior at once.

Intricate rock carvings show, Abhimanyu entering the Chakra vyuha.

Upon learning of the death of his son, Arjuna vowed to kill Jayadratha on the morrow before the battle ended at sunset, otherwise he would throw himself into the fire.