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Markus' Tetrahedron

Creation's quality: 5.0/5 (1 vote)
Evaluation of members on the printability, utility, level of detail, etc.

3D model description

This puzzle was invented by the late Markus Gotz, a brilliant but troubled puzzle designer. Four identical pieces assemble into a tetrahedron. The pieces have unusual shapes which look like they might be difficult to print. But it turns out the usual technique of cutting them in half makes them printable without supports.

There are two solutions. The original one, found by Markus, is self supporting although it does not interlock. The second solution interlocks but requires that the pieces flex a bit. If you make this puzzle out of PLA you may not be able to assemble the second solution. The orange copy here is made out of PETG which has enough flex to assemble into both solutions.

Markus Gotz wrote about this puzzle in the puzzle newsletter CFF 66 (Cubism For Fun, March 2005).

3D printing settings

The pieces are cut in half so that no supports are needed. Print 4 copies of the Top (half) and 4 copies of the Bottom (half). I recommend a layer height of 0.15 mm or smaller for good sphere resolution. The pieces are under stress during the alternate assembly and I recommend strengthening their joints. This is most easily done by increasing the number of perimeters. I recommend at least 3 perimeters.

The halves are then glued together with superglue. Each piece contains holes for alignment. After cleaning the holes out (if necessary) take a scrap piece of 1.75 mm filament. Insert the filament into a hole and cut it off such that about 3 mm is sticking out. After each hole has a piece of filament, fit the other half in place. If the fit looks good, remove and glue the halves together.

  • 3D file format: STL
  • Last update: 2021/01/23 at 18:10
  • Publication date: 2019/12/24 at 02:06





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