Integral Geometry and Quantum Mathematical Physics
The representation of the circle in the square is an ancient, if not familiar, concept in mathematical physics and geometrical art. An ancient papyrus has preserved for us the image of the circle in the square, from before 1600 B.B. Known to us as the Rhind Papyrus, this document has been attributed to the writing of an ancient mathematician named Ahmes.
The image of the circle in the square can also be found in other ancient sources, as well as in later works including some from the Renaissance period.
The significance of the circle in the square as a tool in mathematical physics and geometric architecture can be appreciated when additional circles of geometrically diminishing sizes are added to the circle in the square.
The expression in my installation allows the unit circular square to be used as a tool for the conceptualization of infinite ideas.
Ronald A. Jones, MD