Square circle

A square circle has been given as evidence of a logically impossible concept. For instance, it is supposed that an omnipotent god can not make a square circle. The reason for this is that it is assumed that the concept of a circle is in some ways the opposite as a square so if something is a circle is can not be a square. There are a number of ways to imagine a square circle. It could cycle between a square and a circle. It could be a square in one dimension and a circle in another. It could have properties that seem to be, but are not contradictory. For instance, four corners and every point on the figure are the same distance from the center point like a circle. There may be physical spaces that are not uniform in distances between points and shapes that make square circles actual in some places. You might say that a circle has a constant change on its surface making it curve but a square has no curve it is four straight lines with no curve just four points where there is a change in direction.

Knowledge of an object comes through the senses. If any set of sensepath can be produced by an awarepaducer, can it then produce an sensepath of a square circle? What would a round cube feel like? What would it look like?