Square towers were more vulnerable to siege weapons. [fact]
Fortification styles evolved in tandem with ever more effective artillery. Early structures relied on square-sided, protruding towers to provide flanking fire along the walls, but corners proved vulnerable to flying boulders. Below: Later castles had round towers to deflect artillery. Even when struck directly, these towers were less likely to shatter.
Emlen, Douglas J, Animal Weapons_ The Evoluti…, loc. 972