High-quality Piezography (pigment printing), edition of 20
Title: "Squaring this Circle"
Material: piezography on Hahnemühle White Velvet paper,
with additions in watercolor
Size: 40 x 40 cm
Print avalible at What Art Can Do (Tweede Tuindwarsstraat 4)
The work: Squaring the Circle is my most resent painting in the serie: Inner Landscapes. I wanted to make a round painting and used a Circle. This to lead the eye around. Dots, stars and water lelies appears and disappears.
- I had quite a struggle to keep the composition to work "in there" and a great fight with all that harmony inside the circle (and what to do with a round edge?) I decided to call the painting "Squaring the Circle" and give the viewer a nice wink. How to solve this problem that we just can't solve.
It now works for me but still you might want to square the circle out.
The Theory of Squaring the Circle:
Squaring the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified axioms ofEuclidean geometry concerning the existence of lines and circles implied the existence of such a square.
In 1882, the task was proven to be impossible, as a consequence of the Lindemann - Weierstrass theorem, which proves that pi (π) is a transcendental number. That is, Pi (π) is not the root of any polynomial with rational coefficients. It had been known for decades that the construction would be impossible if Pi (π) were transcendental, but that fact was not proven until 1882. Approximate constructions with any given non-perfect accuracy exist, and many such constructions have been found.
Despite the proof that it is impossible, attempts to square the circle have been common in pseudomathematics (i.e. the work of mathematical cranks). The expression "squaring the circle" is sometimes used as a metaphor for trying to do the impossible. The term quadrature of the circle is sometimes used as a synonym for squaring the circle, but it may also refer to approximate or numerical methods for finding the area of the circle.