Quote Originally Posted by Papewaio
A square-circle cannot exist in Euclidian Geometry.

In perspective Geometry the two shapes are different (I cannot off the top of my head think of any shadow that they would have the same, and no cheating with giving a third dimension and the same side shadow).

However in general topology a square and a circle are the same thing...
I don't understand the point of this post. Are you attempting a challenge to reason or simply challenging the example? If this is supposed to be an attack on the example note: we're dealing with concepts. The base notion of a circle is: a curve that is equidistant from a given central point. A square is: a quadrilateral made up of four equal right angles. Now if you wish to argue that a square-circle exists lets start with a definition. Define square-circle maintaining the base continuity of the previous definitions.