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Does anyone - consciously or unconsciously - make use of Pythagorean quadruples in his/her Technic builds? Or does anybody know examples that make use of these kind of quadruples? As we all know triangular connections help making stiff constructions. And as Technic is particularly well suited for building right angle connections on a one stud grid, it is most convenient to find right triangles that only have whole-integer side lengths. Such triangles in fact make Pythagorean triples. Triples that we often use: (3, 4, 5) and (5, 12, 13). You could say that with Pythagorean triples we can make connections that span two dimensions: The (3, 4, 5)-triangle spans 3 studs in one dimension, 4 studs in the other dimension and together that makes a 5 stud span. The (3, 4, 5)-triple is even supported by Technic's angled liftarms. However, with LEGO we build in 3 dimensions, right? So we may also want to make triangular connections that span all three dimensions. And if we want to do so on a one stud grid we can make use of Pythagorean quadruples. For instance the well-known triples (3, 4, 5) and (5, 12, 13) can be combined in a quadruple (3, 4, 12, 13) where the 5 in the second triple is obtained using the first triple. This would look like this: Other useful quadruples are: (1, 2, 2, 3), (2, 3, 6, 7), (1, 4, 8, 9), (4, 4, 7, 9), (2, 6, 9, 11), (6, 6, 7, 11) and (3, 4, 12, 13). There are more, but they exceed the max liftarm length. Now what I would like to know is whether you know about LEGO Technic examples that make use of these kind of quadruples. Do you?