Surveying railroads in new Zealand must have been interesting in the best of times. But north of National Park the engineers faced an especial challenge. They had routes from the south and north, but the elevations were different over 5 kilometers by a difference which would require a gradient of 4%. That’s more than a railroad loco can handle. It actually took some years before a solution was found and the line could be completed. But the solution involved packing about 11 kms. of track into 5 kms linearly, reducing the grade to 2%. From above the track arrangements look an overhand knot with a turn of spiral, a z-shaped curve, and two tunnels. Over the 11 km s. the route turns by about 1080 degrees.
Eventually the route was built, completed in 1908. Naturally this bit of trackage has become a piece of railroad folklore. Here are two photographs taken only a few seconds apart on the z-curve. They show the tightness of the curves, which have a radius barely over 100 meters. Traffic is limited to 45 kms/hour over most of the grade.