Curve Track
Since I made the somewhat dubious decision to create a track system with different track-center spacing, that means I needed to create a new set of curves as well. More work! Doh!
The curves I have created are a bit different than what you may be used to. Instead of naming each piece with its radius in meters, and its amount of turn in degrees, I have named them with its radius in degrees of curvature and its amount of turn in radians. Why on earth would you do that? you may ask. I did it because prototype railroads in the US measure their curves in degree of curvature, and the dynamic track window measures the turn in radians, and since I am used to making curves of whole numbers of degrees of curvature with dynamic track, I decided to do it that way. If you don't know what a radian is, to convert degrees to radians, use these formalas (D is degrees and R is radians):
R=D*π/180
D=R*180/π
To get an idea, 90 degrees = π/2 or 1.57 radians, 180 degrees = π or 3.14 radians, 270 degrees = 3π/2 or 4.71 radians, and 360 degrees = 2π or 6.28 radians
One cool thing about radians, is that if you multiply the radius of the curve by the amount the curve turns in radians, you get the length along the curve. For example, a curve with radius 1000 meters that turns 0.5 radians is 500 meters long. Pretty handy!
The format for the names of the curve pieces is MXtCddmmcnnnnr, where X is the number of tracks, C denotes that it is a curve, dd is the curvature in degrees, mm is the curvature in minutes and nnnn is the turn in radians (like dynamic track). For example, a 3-track, 1-degree 30-minute curve that turns 0.200 radians will look like this: M3tC0130d0200r. Or a 2-track, 12-degree, curve that turns 0.050 radians will look like this: M2tC1200d0050r. The inside track of multiple tracks will always be the actual degree of curvature, with the other tracks adding 4.27 meters to each radius. So for example, a 2-degree, 4-track piece will have radii of 873.23, 877.50, 881.77, 886.04. I am rounding to two decimal places, because that is what you get with dynamic track.
As you can see in the table below, there is a limited number of curve pieces available in the current release. Since all the curves are radian-based, it will be easy to substitute dynamic track now, for what I will release in the future. For a list of curve pieces and the corresponding radii that you should use in the meantime with dynamic track if the curve you want isn't completed yet, see the Curve Table below. For more than one track, use the below radius for the innermost track, and then add 4.27 for each subsequent track outward.
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Curve Table
Here is the list of current and future Mtracks curved pieces. In the forth column, a "double" denotes that that particular curve is only available in single and double track, while a "quad" means that it is available in single, double, triple, and quadruple track. The bold entries in the forth column denote which curves are available in the current release, and the underlined entries denote which curves will be in the next release.