Angled lego pieces

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Written by William. LEGO elements, especially bricks and plates, are often viewed as being incredibly square. They create great straight lines, but when it comes to angles, you often need to hunt down a specialized facet brick or wedge plate for the job. Well, what if I told you there are ways to angle your most basic elements easily? The answer to this building challenge has to do with right triangles. These are triangles that have one degree internal angle.

Angled lego pieces

In this new series of posts, I will try to use math to explain how some of these techniques work suggestions are always welcome for the techniques I should cover next. The first thing that draws your attention to this modular building is its unusual triangular shape. LEGO as we know is based on a regular square grid of stud locations and so how did they pull this shape off and can we figure out the math behind it? If you read my post on angled walls , you will see that the trick to placing LEGO pieces at any angle other than 0 or 90 degrees relative to the LEGO grid is by ensuring that the studs at the two ends of the brick or plate line up with studs on the LEGO grid. The smallest Pythagorean triple set of numbers that satisfies the theorem is 3, 4, 5 and that is the one the Boutique Hotel uses. But it uses the triple in a way that is not immediately apparent. In fact, if you look at the angled walls in this build, you can count not one but 6 separate 3, 4, 5 triangles including two 4 and 6 that even intersect each other. The hypotenuses of triangles 5 and 6 are at right angles to the line connecting the hypotenuses of triangles Even more interesting is the fact that the floor sections separating the 3 levels of the building as well as the roof section are built using regular plates and wedge plates and somehow their angled sides line up perfectly with the angled walls of the building. I think not. We will need to get into some basic trigonometry to explain this. In a right angled triangle for either of the smaller angles, the ratio of the length of the side opposite the angle to the side adjacent to it is called the tangent and this ratio is fixed for a given angle regardless of the size of the triangle. If we already know the ratio, we can figure out the angle using the inverse of the tangent function or arctan available in most scientific calculators.

Maybe there could be a follow-up showing ways these techniques can be modified, used in three dimensions, and examples of integrating angles into MOCs. We often say LEGO is great for building something square. Good article, angled lego pieces.

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There are quite a few as you can imagine, but each time the studs of the brick have to line up with the studs of the baseplate under it. That is just how LEGO works. Suppose you are building a castle out of LEGO and one of your walls needs to be at a 45 degree angle, are you out of luck? Remember the regular square grid I mentioned earlier? If you take any stud on the baseplate, it is exactly the same distance away from each of its neighbors on all 4 sides and that distance happens to be 0.

Angled lego pieces

In this new series of posts, I will try to use math to explain how some of these techniques work suggestions are always welcome for the techniques I should cover next. The first thing that draws your attention to this modular building is its unusual triangular shape. LEGO as we know is based on a regular square grid of stud locations and so how did they pull this shape off and can we figure out the math behind it?

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Thank you for your support! Get in touch by email or social, or subscribe below! I hope their creations turn out great! Building sideways will work the same, it is just a bit more involved making sure everything lines up. Yeah, it had been bugging me as well. I was just using trial and error until the studs matched up, but I thought that there must be some formula for this. Anyways, interesting article. So it makes sense that two of these wedge plates would give us a combined angle of Additionally, you can put round plates under your long piece under the 6th and 11th stud, since those are the other multiples of the 3, 4, 5 triple. This gets around the fact that for an arbitrary right triangle, the length of the hypotenuse is not always a whole number.

Written by William.

Counting the spaces between studs works better than counting the studs themselves because the points of the triangle are not measured from the edge of a stud. Hence the inflation method. So when I had a conversation with a friend about triangles this kind of all fell into my lap. Now we can inflate by one to straighten out our measurements and get 10, 13, and But how does it work? Well, what if I told you there are ways to angle your most basic elements easily? I enjoyed. All Rights Reserved. Counting the spaces between studs we get 4 and 8, which are not part of any triple. Add to Cart. This is where we like to have stud connections. Having the ability to sit in between four studs gives them an added layer of mathiness to work out in your head. Start in the corner of a baseplate. I have this question too. Robert R.