Breather Pseudosphere

Breather Pseudosphere

The Breather Pseudosphere corresponds to a solution to the sine–Gordon Equation. The term Breather originates from the characteristic of breather surfaces to oscillate (breathe) in time.

While a common sphere has a constant positive curvature, the Breather Pseudosphere has a constant curvature. The surface is produced using the following function:
\[\begin{equation} f(u,v) = 4\arctan{\left( \frac{b}{\sqrt{1-b^2}} \frac{\sin{\sqrt{1-b^2}v}}{\cosh{(b~u)}}\right)} \end{equation}\]

where \(u\) and \(v\) are asymptotic coordinates.

Production details

All prints are produced on a inkjet printer on Innova IFA-22 paper:

  • 315 g/m2
  • Soft textured
  • 100% cotton
  • Natural white
  • Acid and lignin free

Prints are currently only available in the DIN A4 format. If you are interested in other formats, please let me know.