Example 1.7.3 (b) - Paths of Slope 1
For the slope to be 1 on each step, we take a step in of 0.25 units, and that should take us to the next contour line, as they are also spaced every 0.25 units.
The surface is defined by
If you orient into a top-down view, you will see the contours. Each equal-sized xy step will move up to the next contour.