Note that the image above is a MO-Labs computer rendering and not a photo.
This so-called Boy surface represents a fascinating example of a non-orientable surface.
A Boy surface is an immersion of the real projective plane into three-space. The first such surface was constructed by Werner Boy in his dissertation. David Hilbert had given him the task to show that such a surface could not exist, but then he constructed one.
The version used in the math model is via a parametrization by Robert Bryant, several decades later. We used the stripes because this is quite natural from the equation.
The stripes are closed on top by a filled circle which contains a small hole in the center; this hole may be used to hang the object from the ceiling (or from a christmas tree ;-)).
To purchase our 3d-printed modern version of this model use the “buy now” link provided below. You will be sent to our online shop at shapeways where you will be able to choose a size and color. Your object will then be 3d-printed just for you and sent to you in really short time where ever you are in the world.