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RE: Is a spiral 1 dimensional?
Posted:
Jun 22, 2006 2:58 PM


It seems to me that the word "spiral" implies that it exists in a higher dimension space. In 1space, wouldn't a spiral look exactly like a segment, ray, or line depending on end points?
Rich Kleinschmidt
 Original Message From: approve@support1.mathforum.org [mailto:approve@support1.mathforum.org] On Behalf Of Allan Turton Sent: Wednesday, June 21, 2006 1:12 AM To: approve@support1.mathforum.org; geometryprecollege@support1.mathforum.org Subject: Is a spiral 1 dimensional?
I tried posting this under a different topic area but only received 1 reply which was a bit above my level of understanding (thanks anyway). Please consider the following:
Thinking about any spiral that lies flat on a plane, is it onedimensional or twodimensional? My thoughts are that, because it is an open curve, only one dimension (length) is needed to locate a point along it once an origin is established.
Moving into threedimensional space, a spiral (as on a cone) would still be onedimensional wouldn't it? Only one dimension (length) is still needed to identify a point along it.
Thoughts?
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