Arno Knobbe (@legoarno on Instagram) completes his popular trilogy of guest articles today, gently introducing you to the math behind useful techniques for building at diagonals to the LEGO® grid. If you missed them, you may wish to read the others first – Part 1: building at angles, and Part 2: techniques with reflected wedges.
Building a triangle naturally forces you to escape the LEGO® grid. Sure, you can align 2 sides with the grid – creating a right triangle – but the third side will have to be diagonal. As soon as you try this, you run into trouble: most dimensions will not lead to easy connections at the 2 corners involved, neither with hinge plates nor regular stud-antistud connections. The age-old answer to this challenge, that most builders will be familiar with, is the Pythagorean triangle. Today’s article is my modern take on this millennia-old technique.