Here is a Schwarz P surface that Dave Pfaff and I designed for the InforMath project funded by the National Science Foundation (DRL-1323587). The InforMath project (http://informalmathematics.org/) is a partnership between San Diego State University and several museums at the Balboa Park, including the Reuben H. Fleet Science Center (http://www.rhfleet.org/). A Schwarz P surface is a triply periodic minimal surface.

These models are designed to join together using small magnets. There are two options for the print files, ones with small holes for the magnets and ones without. There are two sizes of the surfaces 6x6x6cm and 10x10x10cm, and there is also a thin version of the 10cm size model.

uPrint SE

Yes

Yes

Also prints on a MakerBot 2X with rafts, supports, 0.2mm resolution and 10% infill.

Several copies of the surface can be held together by 3mm (diameter) x 3mm (height) cylindrical rare earth magnets (http://www.gaussboys.com/store/index.php/magnet-shapes/cylinders/c0303.html).

The magnets should fit snugly, and I didn't need any glue. If you do, you could try using a little JB Weld epoxy just in case. I suspect that you could also use superglue. I highly recommend printing DesignByNumber's magnet insertion tools (http://www.thingiverse.com/thing:436565) to help seat the magnets into the little holes.

You can alternate the magnets around the rim of the surface. The rim on the opposite face should have the opposite orientation on corresponding magnets.

A complete description can be found on my blog at http://mathvis.academic.wlu.edu/2016/02/29/constructing-a-schwarz-p-surface/ A very brief description of the mathematics can be found here: http://mathvis.academic.wlu.edu/2016/02/29/schwarz-p-surface-the-math/