Imagine a compass rooted at the origin of the complex plane.

Starting at the point 0j1, draw the arc down to the real line, and then
from this point, draw vertical line segment extending upwards 1 unit, to
arrive at the point 1j1.

Repeat this process of drawing the arc down to the real line and moving up
1 unit N times, creating a series of points along the horizontal line  (]
j. 1:).

For each point, draw a line segment from the origin to the point, and then
draw a square (*:) whose sides are the length (|) of this segment.

What is the area of each square?

    *:@| (|j.1:)^:(<n) 0j1 [ n=. 10
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