Construct a spiral by starting at
the origin of a coordinate system,
moving 1 unit to the right to the
point (1, 0), then turning left 45
degrees and moving ½ unit, then
turning left 45 degrees and moving
⅓ unit, turning left 45 degrees and
moving ¼ unit, etc.
What are the
(x, y) coordinates of the limiting
point of this spiral?
(In reply to
some iterations by Charlie)
Taking the average of the maximum and minimum x in those last few points, as well as of the maximum and minimum of y, gives what's probably a better approximation:
(1.02212090304111, 0.643960198768913)
Considering it's giving octagons of decreasing sides, I wonder if it is really true that the center of the octagon actually travels without limit the way that the linear series does.
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Posted by Charlie
on 2024-12-05 09:16:17 |
re: some iterations
