There are 3 related Achievements

Cutting Corner

Solved a level without placing all available rails (for a puzzle with no pre-placed removable rails)

Charting Paths

Solved 2 levels without placing all available rails (for a puzzle with no pre-placed removable rails)

Cartographer

Solved 3 levels without placing all available rails (for a puzzle with no pre-placed removable rails)

Place your track pieces according to the following image.

Place your track pieces using the following image

Place your tiles according to the following image

Thanks for reading. I hope this guide helps!

I am sure there are plenty of other levels you can also use the get the achievement. Feel free to drop the level numbers in the comments section.