Angled lego pieces

Written by William.

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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.

Like for example, you have a wall, and you want to add a slightly sideways decoration on it.

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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

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. However, this is true only if you are measuring the distance parallel to one of the sides of the baseplate. Herein lies the problem — you can place bricks every which way on the baseplate as long as they are parallel to one of the sides of the baseplate. But as soon as you turn the bricks to an angle different from 0 or 90 degrees, the studs no longer line up. The trick to placing bricks at a different angle with good stud connections at both ends is making sure the triangle you form satisfies the Pythagorean Theorem.

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One of the sides is a stud or 2. TomTom September 24, , PM. What about if you need a triangle sideways? You must have read my mind! Email Required Name Required Website. All LEGO slope pieces have a lip at the base of the slope that is about half a plate high. Mark Anderson September 27, , AM. Fortunately, LEGO is naturally designed to make right triangles and, thanks to the concept of the Pythagorean Theorem, we know they are dependable. The The studs on these two bricks are now able to hold a plate that is six studs long just like you get with a normal baseplate. Remember that theorem I mentioned before? I hope that makes sense.

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.

Triangles have three points. You can either just focus on a single column or row of the larger plate to do the connection or use the reverse triangle method. These are triangles that have one degree internal angle. LEGO elements, especially bricks and plates, are often viewed as being incredibly square. Loading Comments Starting in the corner, we count three spaces between studs along one side. Get in touch by email or social, or subscribe below! Going back to the corner, we count four spaces between studs along the other side and place a round plate on the fifth stud. Cheers, Chris. I was just looking at some LEGO triangles and telling myself I should memorize a few basic numbers… so this is perfect! Fingers crossed. The side that was 5 long is now 9 and the side that was 9 is now 5. So add three bricks and a plate. I was just using trial and error until the studs matched up, but I thought that there must be some formula for this. Given that information, we can now do something pretty cool.