Final answer:
The identity of the person who set fire to the Rex Abadan cinema is not disclosed in the provided materials. Fires throughout history have frequently been the result of acts of violence or revenge, as shown in examples of library arson, Persepolis's destruction during Alexander the Great's time, and the fire at the Colored-Orphan Asylum.
Step-by-step explanation:
The question of who set fire to the Rex Abadan cinema is not included in the provided references, and therefore, I cannot provide an answer based on the materials given. Regarding historical incidents of arson, there are several notable examples. For instance, the fire described involving the Library which was 'entirely consumed' relates to a historical event where the responsible party for the arson isn't provided. The serial arsonist in Hollywood, CA during the New Year's holiday of 2011-12 was determined through basic statistical techniques which hinted at where the perpetrator lived, as reported by the LA Times.
Regarding the ancient incident at Persepolis, it is uncertain whether Thaïs was the instigator or a scapegoat for the fire that destroyed the city, as historical accounts vary. One record suggests it was due to a night of excessive partying, while another views it as intentional revenge 'for their invasion of Greece...for the destruction of Athens, the burning of the temples, and all the other crimes they had committed against the Greeks.'
Fires set intentionally as acts of violence or revenge have a long history, and without specific evidence or historical records, it can be difficult to determine the exact individuals responsible for such acts, like the mob that burned down the Colored-Orphan Asylum in 5th Avenue, according to historical accounts.