Cities: Skylines

Cities: Skylines

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Perfect Hexagon (6-Way Guide Frame)
   
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Assets: Intersection
File Size
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428.626 KB
1 Apr, 2015 @ 9:09pm
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Perfect Hexagon (6-Way Guide Frame)

Description
Making symmetrical 6-way intersections is no walk in the park. Use this perfect hexagon as a guide to help you get started!

I guarantee the precision of this hexagon to less than an in-game meter, or your money back!
This hexagon was made using real life maths and trigonometry.

Let me know if there are other geometrical shapes you would like to have perfected!

Perfect Triangle https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=418236808
Perfect Pentagon https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=418007770
5 Comments
mrxenozip 15 May, 2015 @ 5:22am 
This is off by 0.1 degrees but is fixable, bloody impressive. Been trying to do hexagons for days, get the protractor mod and update. Well done.
Orchid 8 Apr, 2015 @ 6:43pm 
@Urben: One thing I want to note, is that the Bezier tool doesn't construct a perfect circular arc. The tool is based on a quadratic function, so it can only approximate a circular arc. I've explained this in my article on creating perfect pentagons. If you want it perfect, I suggest you construct the sides using the Pythagorean theorem, from 1 to square-root 2, square-root 3, and finally to 2. This creates an equilateral triangle. Then you can expand with this equilateral triangle to build a perfect hexagon.
colttenney  [author] 5 Apr, 2015 @ 10:34pm 
@Urben: I appreciate your enthusiasm Urben, and I am happy someone went and authenticated my less than 1m tollerance. However I did not expect someone would be skilled enough to prove the hexagon's lack of complete perfection. You see my mouse only has a dpi of 1000 and I run the game at 3840x2160, with the normal ingame zoom maxed all the way, the best resolution I can get is 30cm when placing a road. So I decided that I would fudge it and leave it at the nominal 15cm off of target. I am dreadfully sorry for having mislead you into accepting this hexagon as literally perfect. However, I am afraid that all of my assets will be at least 15cm off until I get my Epsilon LE-05 Laser Extensometer (which has a resolution of 1 micron) to use as my new mouse. This would allow me to place roads with 0.5mm in-game precision, and (hopefully) too small of an error for someone even as skilled as you, to notice. Again, terribly sorry for any misleading.
Urben 5 Apr, 2015 @ 4:39am 
This is not perfect, Ive measured the angle of one triangle of it by counting vertical tiles (26) and horizontal tiles (15) and came to an angle of 60.0183606312° which is 1,8% too much. So the 26 tile long side equals 208m which is 15cm too much. Yes thats under your 1m tollerance but still not perfect.

You cant create a 60° angle by counting ingame-tiles because you had to create a 1:√3 ratio. And because √3 is irrational, it can't have a ratio made of integers only.

If you really try to create a perfect 60° angle, you have to work with circles, which could be quite hard ingame.

Even if you manage to make a perfect 60° angle, it actually isnt because a computer works with digital numbers, not analog ones. So a computer also can only come near to a number equal to √3, but never perfectly to it. Thats why supercomputers still are working on pi, because pi is irrational too.

tl;dr: Nope you cant make a perfect one. And yes this is a troll post.