A common question in LEGO creations is “how do I build on a diagonal?” If you have studied trigonometry you will know one answer: the Pythagorean triangles, such as the fairly well-known 3-4-5 ratio, will give you a nice diagonal connection on a rectilinear grid such as LEGO provides. Now there’s a new page from the Cactus Brick site that explains these Lego Diagonal Connection Points in a very clear way. Check it out!