Circle or Square which is it?

In Taxicab this is a circle with a radius of two. [br][br]It is also a square with side length equal to square root of 8. [br][br][br][br]

We see that this is a square with side lengths equal to 2.[br][size=150][color=#ff0000][b][br]But is it also a circle?[/b][/color][/size][br][br]Point E is the center but not all points on the square are equidistant from the center. [br][br]This is not a circle in Taxicab geometry. [br][size=150][color=#0000ff][b][u][br]So we conclude that all circles are squares but not all squares are circles.[/u][/b][/color][/size]