The medieval equivalent of Bob the Builder has a new job offer: He is to build a box with the measures of $0.35$ units by $0.35$ units by $0.35$ units for a king.
There is a little problem with the job offer though: If the king finds out that the box does not have exactly the correct dimensions, Medieval Bob will be executed.
Medieval Bob is only equipped with a stick of the exact length of 1 unit, a ruler without marks on it and has a compass.
Nevertheless, he is aware that there is a so-called error propagation. To be as precise as possible (he still has his own execution in mind) he wants to have as little error propagation as possible.
Construct the length of $0.35$ unit with the least construction steps, given a ruler of length 1 and a compass. This construction should yield the exact value if executed perfectly.
Each time a length is measured, it will count as one step. Constructing a perpendicular bisector of sides therefore takes 3 steps:
- Drawing one circle on one endpoint of the side
- Drawing a second circle on the other endpoint of the side
- Connecting the two intersections of the circles.
You can decrease your score by $5$ if you post images of the construction so we can follow it step by step. Please indicate this by placing an asterisk behind your score.