# 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:

\[%
f(u,v) = 4\arctan \left( \frac{b}{\sqrt{1-b^2}} \frac{\sin\sqrt{1-b^2}v}{\cosh(b~u)}\right)%
\] where \(u\) and \(v\) are asymptotic coordinates.

## Production details

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

- 315 g/m
^{2} - 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.