I’ve always been fascinated with building angles with rectangular plates and bricks. For a while, I thought that Pythagorean triples are the only way to go. Until I built this set, the original winter village toy shop. It’s able to create all of the Christmas tree’s angles with only normal plate with a simple and yet intriguing technique. I call it the diagonal building technique.
This technique uses the fact that the distances between two diagonal studs are the same, no matter where the pair of studs are. For example in the Christmas tree above, the distance between two diagonal studs is always:
The exact distance is not that important, since you cannot recreate this distance with rectangular bricks in any other way, except with two diagonal studs. And when you overlay two different sets of diagonals you get an angle other than 90°.
This technique works on any two 2×4 diagonal studs. It doesn’t have to be two 2×4 plates. One can be 2×4 and the other can be bigger, or both can be bigger.
So it gives you an easy way to create an angle between two plates. To get more support and connection points between two large plates, you can add a stud to every 2×4 diagonals, such as below.
This works with any size of diagonal pairs, 2×3, 2×5, 2×6 and so on. The possibility is unlimited.