Angled lego pieces

Yes, you can.

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.

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. So it makes sense that two of these wedge plates would give us a combined angle of Pretty neat, eh?

We try to respond within one business day. Count three studs along one side and place a round plate.

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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

Angled lego pieces

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?

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Well, it gives an equation that can let us figure out the length of the third leg of any right triangle if we have the lengths of the other two. Choose one of the 3 options. You can do this with any right triangle shape. Larger plates can be handled in a couple of ways. Start in the corner of a baseplate. Sith September 24, , AM. These are sets of three numbers that are whole and can be applied directly to LEGO building. Of course, Technic is a lot less rigid in how it forms frames so all of geometry is handy for Technic. Copyright of theBrickBlogger. A right angled triangle with a 45 degree angle is called the special right triangle.

Note: An updated version of this post has been published here. If you look at a LEGO baseplate, you will see that the studs on it are arranged in a regular grid with any two neighboring studs exactly 0.

Remember that theorem I mentioned before? The reason for this is that the LEGO system is built on exact measurements. That is especially true since right triangles have a very square component to them. 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. If you multiply all the numbers of a triple by the same number, the triple will still work. Make the house even more realistic by adding LEGO dolls that live in the house. We will need to get into some basic trigonometry to explain this. Same goes for if you make the short legs the same measurement, for instance 3 and 3. I have this question too. Choose one of the 3 options. Nofakebrick September 24, , PM.