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THIS IS THE TEST SITE OF EUROBRICKS!

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Posted (edited)

Never mind, guys. I was able to get an *exact* 45 degrees using the following step pattern.

QfTcs1B.png

:)

[edit]

I made some more progress:

JeHpzd7.png

They all align to either 32 or 64 stud widths.

[edit]

This is my next goal:

jIZ1lnp.png

 

Edited by Dilvish
  • 1 year later...
  • 2 weeks later...
Posted (edited)

Instead of using the above guide, I recreated the shape by hand in SVG, then converted to PNG and input the image into LDraw Digital Mosaic Generator (LDDMG).

 

Here's a screenshot from when I was still working out some of the kinks. The image to the left is 5120x5120 pixels and depicts an area that covers 4x4 baseplates. There are issues with anti-aliasing/sampling in the image to the right. The solution at the moment is to process each color separately. The next version of LDDMG will feature an optional nearest neighbor sampling method, which will eliminate the artifacts supposedly.

GTIRGJW.png

 

The result is what you see below. I still have a lot of tedious work to do, since a lot of the parts are in the correct location, but are turned around 180 degrees from what I need them to be. The output of LDDMG is a model consists completely of 1x1 plates. These need to be consolidated into larger plates and bricks as well. The road surface also needs to be lowered by a few units below the sidewalks.

r0SmKct.png

 

Edited by Dilvish
Posted

Wow! That's a lot of work to get the geometry just right.

I have just updated LDDMC so that you can set the scaling quality (Edit->Settings). By using "Nearest neighbor, don't change colors (fast)", you should no longer get the issue with changing colors. Unfortunately there is no line recognition, so you still risk having holes in the lines.

  • 2 weeks later...
Posted (edited)

Does anyone know of a ratio of studs (e.g. "four studs left and seven studs forward", or something) that would allow me to attach a 45 degree build to an "in system" build?

Is that what this Wikipedia article is sort of about?

https://en.wikipedia.org/wiki/Integer_triangle

"integer triangle" a.k.a. "Pythagorean triple"

I'm not sure there are any for 45 degree angles.

[edit]

Are there any special parts which would allow me to make integer connections?

[edit]

Stack Exchange says the answer to the first question is "No".

https://math.stackexchange.com/questions/2607147/is-there-an-pythagorean-triple-whose-angles-are-90-45-and-45-degrees

Edited by Dilvish
Posted

I think this topic is fascinating, but entirely out of my league. 

The only thing I can think of that may make this build, well, buildable, is by using a kind of tongue and groove to make the 45 degree section mesh up with the aligned freeway. I'll stay out of it, but if you have any questions on the math, I wouldn't mind taking another look. :classic:

 

MAC

Posted (edited)

Apparently, there are TLG designed models that work within tolerances, where the connection might not be exact, but it's "close enough" for the parts to fit together.

See the yellow 1x6 bars on page 32 here:

http://lego.brickinstructions.com/lego_instructions/set/6199/Hydro_Crystallisation_Station_

I also started another thread here:

https://bricks.stackexchange.com/questions/9652/connecting-out-of-system-roads

Edited by Dilvish

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