Answers.Body: <p>There ARE integer sided triangles that have angles of 60 or 120 degrees, see here : <a href="https://en.wikipedia.org/wiki/Eisenstein_triple" rel="nofollow noreferrer">https://en.wikipedia.org/wiki/Eisenstein_triple</a> but I'm not sure how this helps you for building roads.
  45 degrees there indeed aren't any. 
  A progress of going one stud forward one stud left will get you 45 degrees if working studs on top. In case of SNOT 2 studs forward, 5 plates will also progress in an angle of 45 degrees.
  There are elements that let you progress half a plate, so 1 stud to 2.5 plates works also.
  For 60 or 30 degrees, the tangent is irrational so no 'precise' or exact progression exists, but it can probably fairly well be approximated. 
  There are technic pieces called angular connectors that make angles that are multiples of 22.5 degrees. Also several connectors that make multiples of 60 degrees.
  Also hinges that "click" in angles of 22.5 degrees...</p>
  
  <p>Update: picture of angular connectors<a href="https://i.sstatic.net/sShKC.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/sShKC.png" alt="Connectors 22.5"></a><a href="https://i.sstatic.net/kb8No.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/kb8No.png" alt="Connectors 120"></a> </p>
  
  <p>you would additionally need technic axles and bricks having axle holes:
  <a href="https://i.sstatic.net/6xOzN.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/6xOzN.png" alt="axle"></a>
  <a href="https://i.sstatic.net/uwZ1n.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/uwZ1n.png" alt="brick"></a>
  But there are lots of other ways to connect the connectors, e.g. bricks with pin holes and a half-axle pin, half pins with stud, axles with stud,...</p>
  
Answers.ContentLicense: CC BY-SA 3.0
Answers.CreationDate: 2018-01-18T06:48:28.980Z
Answers.Text: Which technic pieces are these? I do not use technic much, especially Bionicle.
Answers.UserDisplayName: posfan12
Answers.ContentLicense: CC BY-SA 3.0
Answers.CreationDate: 2018-01-18T08:38:03.097Z
Answers.Text: Edited the answer to add pictures of them from bricklink
Answers.UserDisplayName: Michael Verschaeve
Answers.ContentLicense: CC BY-SA 3.0
Answers.CreationDate: 2018-01-20T03:30:53.973Z
Answers.Text: How would I fasten them between the SNOT road and baseplate underneath?
Answers.UserDisplayName: posfan12
Answers.ContentLicense: CC BY-SA 3.0
Answers.CreationDate: 2018-01-20T07:32:17.887Z
Answers.Text: If its permissible to have the SNOT road one brick higher, I would say bricks with axle holes or pin holes to the baseplate. The connectors with axles or pins to the bricks and the road on the bricks like you would have attached them to the baseplate. More compact solutions probably possible if I would have more details on how the road is now attached to the baseplate.
Answers.UserDisplayName: Michael Verschaeve
Answers.ContentLicense: CC BY-SA 3.0
Answers.CreationDate: 2018-01-20T11:26:22.553Z
Answers.Text: Right now, the roads are not (yet) connected to a baseplate. They are sitting on a virtual flat table surface (the model is digital). If you have MLCAD installed, you can take a look at these files: http://www.mediafire.com/file/qgt1zrq8v514t93/ldr_diagonal_snot_roads_20161104.zip
Answers.UserDisplayName: posfan12
Answers.ContentLicense: CC BY-SA 3.0
Answers.CreationDate: 2018-01-16T13:16:34.390Z
Answers.LastActivityDate: 2018-01-18T08:29:45.193Z
Answers.LastEditDate: 2018-01-18T08:29:45.193Z
Answers.UserDisplayName: Michael Verschaeve
Body: <p>I've been trying to figure out how to connect SNOT road models that are at varying angles to one another. You can see my efforts in <a href="https://www.eurobricks.com/forum/index.php?/forums/topic/142653-snot-roads-45-degree-angles/" rel="nofollow noreferrer">this thread</a>.</p>
  
  <p>Are there any interesting methods of connecting roads like these that most people might not be aware of? I read up on <a href="https://en.wikipedia.org/wiki/Integer_triangle" rel="nofollow noreferrer">integer triangles</a>, but there are none for 45 degree angles, and probably none for 30 and 60 degree angles as well.</p>
  
  <p>Are there any special parts that make this possible?</p>
  
  <p>See also: <a href="https://math.stackexchange.com/questions/2607147/is-there-a-pythagorean-triple-whose-angles-are-90-45-and-45-degrees">https://math.stackexchange.com/questions/2607147/is-there-a-pythagorean-triple-whose-angles-are-90-45-and-45-degrees</a></p>
  
  <p>Here is an example that is fairly close, except that the road pieces are not connected to one another.</p>
  
  <p><a href="https://i.sstatic.net/FsT7b.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/FsT7b.png" alt="enter image description here"></a></p>
  
Comments.ContentLicense: CC BY-SA 3.0
Comments.CreationDate: 2018-01-16T14:29:51.330Z
Comments.Text: It'd be nice to include the images over here in case the other page goes away.  It is an amazing and lovely project.
Comments.UserDisplayName: chicks
Comments.ContentLicense: CC BY-SA 3.0
Comments.CreationDate: 2018-01-20T03:43:05.363Z
Comments.Text: See also. https://math.stackexchange.com/questions/2607147/is-there-a-pythagorean-triple-whose-angles-are-90-45-and-45-degrees
Comments.UserDisplayName: posfan12
Tags: <building><snot>
Title: Connecting "out of system" roads?
UserDisplayName: posfan12
ThreadText: # Connecting "out of system" roads?
  
  (Asked by: username_0 on 2018-01-16)
  
  I've been trying to figure out how to connect SNOT road models that are at varying angles to one another. You can see my efforts in [this thread](https://www.eurobricks.com/forum/index.php?/forums/topic/142653-snot-roads-45-degree-angles/).
  
  Are there any interesting methods of connecting roads like these that most people might not be aware of? I read up on [integer triangles](https://en.wikipedia.org/wiki/Integer_triangle), but there are none for 45 degree angles, and probably none for 30 and 60 degree angles as well.
  
  Are there any special parts that make this possible?
  
  See also: <https://math.stackexchange.com/questions/2607147/is-there-a-pythagorean-triple-whose-angles-are-90-45-and-45-degrees>
  
  Here is an example that is fairly close, except that the road pieces are not connected to one another.
  
  [![enter image description here](https://i.sstatic.net/FsT7b.png)](https://i.sstatic.net/FsT7b.png)
  
  **Tags:** building, snot
  > **Comments:**
  > **username_1**: It'd be nice to include the images over here in case the other page goes away.  It is an amazing and lovely project.  
  > **username_0**: See also. https://math.stackexchange.com/questions/2607147/is-there-a-pythagorean-triple-whose-angles-are-90-45-and-45-degrees  
  
  ---
  
  ## 1 answers
  
  ### Answer by username_2 on 2018-01-16. Score: 3
  
  There ARE integer sided triangles that have angles of 60 or 120 degrees, see here : <https://en.wikipedia.org/wiki/Eisenstein_triple> but I'm not sure how this helps you for building roads.
  45 degrees there indeed aren't any.
  A progress of going one stud forward one stud left will get you 45 degrees if working studs on top. In case of SNOT 2 studs forward, 5 plates will also progress in an angle of 45 degrees.
  There are elements that let you progress half a plate, so 1 stud to 2.5 plates works also.
  For 60 or 30 degrees, the tangent is irrational so no 'precise' or exact progression exists, but it can probably fairly well be approximated.
  There are technic pieces called angular connectors that make angles that are multiples of 22.5 degrees. Also several connectors that make multiples of 60 degrees.
  Also hinges that "click" in angles of 22.5 degrees...
  
  Update: picture of angular connectors[![Connectors 22.5](https://i.sstatic.net/sShKC.png)](https://i.sstatic.net/sShKC.png)[![Connectors 120](https://i.sstatic.net/kb8No.png)](https://i.sstatic.net/kb8No.png)
  
  you would additionally need technic axles and bricks having axle holes:
  [![axle](https://i.sstatic.net/6xOzN.png)](https://i.sstatic.net/6xOzN.png)
  [![brick](https://i.sstatic.net/uwZ1n.png)](https://i.sstatic.net/uwZ1n.png)
  But there are lots of other ways to connect the connectors, e.g. bricks with pin holes and a half-axle pin, half pins with stud, axles with stud,...
  
  > **Comments:**
  > **username_0**: Which technic pieces are these? I do not use technic much, especially Bionicle.  
  > **username_2**: Edited the answer to add pictures of them from bricklink  
  > **username_0**: How would I fasten them between the SNOT road and baseplate underneath?  
  > **username_2**: If its permissible to have the SNOT road one brick higher, I would say bricks with axle holes or pin holes to the baseplate. The connectors with axles or pins to the bricks and the road on the bricks like you would have attached them to the baseplate. More compact solutions probably possible if I would have more details on how the road is now attached to the baseplate.  
  > **username_0**: Right now, the roads are not (yet) connected to a baseplate. They are sitting on a virtual flat table surface (the model is digital). If you have MLCAD installed, you can take a look at these files: http://www.mediafire.com/file/qgt1zrq8v514t93/ldr_diagonal_snot_roads_20161104.zip  
  
  ---
  
  