Exhausting image

video installation, animated loop, 2016

This work is inspired by the ancient method of exhaustion, which was used by Greek mathematicians to approximate the area of a circle. They circumscribed about and inscribed in the circle subsequent regular polygons. Along with the increase of the number of angles in the polygons, the area of a circle was approximated more and more precisely, but the polygon could never be equal with the circle.

It also refers to the epistemological visual metaphor by Nicolas of Cusa who compared the fullness of truth to an ideal circle, a human tending to the truth to the polygons circumscribed into that circle: Hence, the intellect, which is not truth, never comprehends truth so precisely that truth cannot be comprehended infinitely more precisely. For the intellect is to truth as [an inscribed] polygon is to [the inscribing] circle. The more angles the inscribed polygon has the more similar it is to the circle. However, even if the number of its angles is increased ad infinitum, the polygon never becomes equal [to the circle] unless it is resolved into an identity with the circle (Nicholas of Cusa, On Learned Ignorance, trans. J. Hopkins, Minneapolis 1985).

Work presented on exhibitions:

  • MathArt around Vinci, Wrocław, September 2016;
  • OBRAZ PORUSZONY, Wrocław, March-April 2017;
  • PERMEATION – Przenikanie, Tianjin, China, September 2018.