Final answer:
Haimon dies on the palace steps in Antigone.
Step-by-step explanation:
Haimon dies on the palace steps in the play Antigone by Sophocles. After pleading with his father, Creon, to spare Antigone's life, Haimon becomes enraged and threatens to die with her. In despair, he takes his own life by falling on his sword. His dead body is found beside Antigone's in the rock-hewn tomb.