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Hi, I could use some help working out which triangles built from a mix of technic beams and bricks are actually valid (or at least, not going to damage or strain the parts when they're assembled). For example, if you stack a load of 1x16 technic bricks, then attach a beam at an angle of about 22.6 degrees, every 14th pin hole on the beam lines up with a pin hole in a brick. Are there any other "magic angles" where the rotated beam's pin holes line back up with the grid? And if so, how can you calculate what they are, since 6 vertical bricks = a beam of 7 pin holes, and this seems to throw Pythagoras' law? I'm also interested in calculating more "unusual" triangles - for instance, what if the stack of bricks includes one or two plates, or what if the bricks change to 1x1 technic bricks (i.e. pin holes with a half stud offset). Is there a list of valid triangles, or a way to calculate what will work? And what are the tolerances before such a triangle starts popping the bricks apart? My specific use case is in a scale model of the launch pad for the Apollo moon rocket, one of the lower levels has to be 8 bricks and 2 plates high (plus or preferably minus 1-2 plates), and I'm looking for an angled beam that will produce the sloping side. Unfortunately, it can't be under too much strain, as a ~1m tall tower will sit on top and need a reasonably solid foundation. I'm going crazy with trial and error in LDD and a few rough prototypes in real life - could some kind soul give me some advice? -
Fractional offsets
Wismill posted a topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
Hi there, I have been reading this forum for quite a while but this will be my first post. I need to achieve some angles with beams that are not standard, i.e. not obtained directly with angled beams: 18.435º, 14º, etc. So I found two really interesting blog posts from Neil Webber: Lego Technic Triangle Geometry and Geeking out even more with Pythagoras and Lego triangles. In the first one, Neil presents a program to look for triangles with specific angles. The length of the sides of the triangles may be natural number or fractional using a 0.5 offset. In the second one, Neil show that the geometry that the Technic bricks allows to use offsets of 0.2. This is very useful to be able to reduce the size of the triangles. So I have experimented in LDCad to build these offsets. Here are my findings: There are many ways to obtain a 0.5L offset, here is one simple: offsets 1 The following one is for the 0.2L offset family. It is quite compact, but is maybe an illegal build (stud inserted in a Technic hole): offsets 2 I think the next one is legal and quite sturdy: offsets 3 Yet another possibility: offsets 4 What do you guys think of these solutions regarding the compacity and sturdiness? Also, I think it could be possible to achieve 0.1L offset combing 0.6 and 0.5 offsets, but I do not have a solution yet.