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
Spreadsheet with far fewer iterations by Larry)
I just thought of this: the convergence is more akin to the alternating harmonic series as each dimension goes back and forth. That series converges.
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Posted by Charlie
on 2024-12-05 23:11:52 |
re: Spreadsheet with far fewer iterations
