He played in the Argentine national rugby union team and became famous because of his participation in a criminal organization dedicated to kidnap, torture and murder of wealthy people.
[4][5] On 22 July 1982, the organization kidnapped Ricardo Manoukian (aged 24 at the time of his murder), a personal friend of Alejandro, in San Isidro.
[6] Arquimedes was arrested by the Division of Frauds and Scams of the Argentine Federal Police on 23 August 1985 at a gas station while he was extorting the last victim's family via payphone for the ransom payment.
Alejandro was arrested that same day while he was at home with his girlfriend, Mónica Sörvik, a gardening teacher of the Escuela de Todos los Santos and then vice-headteacher of the kindergarten Myflower from San Isidro.
[11] When Alejandro was taken to court, in late 1986, in Palacio de Tribunales, he attempted to kill himself by jumping from the fifth floor, inside the building.
After 22 years imprisoned, Alejandro was released from the Buenos Aires Prison located in the Florencio Varela department on parole, in November 2007.
[9] In 2015 the Argentinian film director Pablo Trapero adapted the story into a movie, The Clan starring Guillermo Francella as the main protagonist, playing Arquímedes Puccio.
[16] In 2015 Historia de un clan, a series composed of 11 chapters was released, and was broadcast by Telefé, where Alejandro was portrayed by Ricardo "Chino" Darin.