Create a hierarchy of shapes in C# with a base class Shape and two derived classes circle and Square. Each derived class should override a method called calculateArea$()$ that calculates and returns the area of the respective shape.

The Shape class should have a method DisplayInfo$()$ that prints information about the shape, such as its type and area.

Create an array or list of shape objects that includes instances of circle and Square. Iterate through the array and display information about each shape, including its type and area.

Ensure that polymorphism is used effectively in this solution, and make use of abstract classes and methods where appropriate.