Roman Surface

Roman Surface

The Roman surface is a quartic nonorientable surface. It – along with Boy’s Surface and the Cross-cap – are the three surfaces that can be crafted by pasting a Möbius Strip to the edge of a disc.

The following is one of its parametrizations (Weisstein (2016)):

\[% \begin{split} x(u,v) & = \frac{1}{2} a \sin{2u} \sin2 v\\ y(u,v) & = \frac{1}{2} a \sin u \cos{2v}\\ z(u,v) & = \frac{1}{2} a \cos u \sin{2v}\\ \end{split}% \]

where \(u \in [ 0, 2\pi )\) and \(v \in [-\pi/2,pi/2]\).


Weisstein, Eric W. 2016. “Roman Surface.” Text.

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.