I believe that the design feature is more properly called a "plinth". A plinth is an architectural feature, while a building itself would not have a pedestal base.
While most of these show true plinths - with the base extending out to the ground at roughly 45 degrees on each side - the coin from Cyzicus does not. It appears to have only an extra base line. It would be interesting to see if all examples from Cyzicus lack the 45 degree bits or not. If so it might not be a true plinth.
Shawn
Thanks Shawn, "Plinth" does seem to be the best term for this feature. From Wiki:
In
architecture, a plinth (from
French plinthe, from Latin plinthus, from Greek πλίνθος plinthos, “brick”) is the base or platform upon which a
column, pedestal, statue, monument or structure rests. Gottfried Semper's The Four Elements of
Architecture (1851) posited that the plinth, the hearth, the roof, and the wall make up all of architectural theory. The plinth usually rests directly on the ground or stylobate. According to Semper, the plinth exists to negotiate between a structure and the ground. Semper's theory has been influential in the development of
architecture.
