‘Quite the stylish haircut.’
The bust actually has the claw-shaped crop of hair that’s associated with Alexander the Great’s hairstyle. This is actually a very well known style in classical hairstyles. The creator of the bust is trying to tell the audience that Caesar should be respected like Alexander.
Look up some of the busts of Alexander. You’ll see this same thing. Augustus also.
Quote from link below:
During the Hellenistic period, art became a propaganda tool used by various rulers to convey their personality. In order to gain respect from their people, these rulers had themselves depicted in certain ways to reaffirm their power and status. Alexander the Great knew the potential of these images, and commissioned Lysippos to create portraits of him. Lysippos was the only artist authorized to make Alexander’s image. Not only did he want to convey Alexander’s arete (virtues of society), Lysippos also wanted to depict his ethos (personal character). Two works of art demonstrating the Lysippan style include the Azara Herm and the Statue of Alexander with a Lance.The Azara Herm contains all the typical characteristics of a Lysippan prototype:
- turn of the neck
- slightly parted lips
- aspiring glance
- the anastole (flip of the hair)
These features separated Alexander the Great from previous rulers. They were new, innovative and engaging.
The Statue of Alexander is designed to represent the idea of political power. Here, the power radiates from Alexander himself.
http://archaeology.suite101.com/article.cfm/portraits_of_alexander_the_great