It seems to me that the word "spiral" implies that it exists in a higher dimension space. In 1-space, wouldn't a spiral look exactly like a segment, ray, or line depending on end points?
- -----Original Message----- From: email@example.com [mailto:firstname.lastname@example.org] On Behalf Of Allan Turton Sent: Wednesday, June 21, 2006 1:12 AM To: email@example.com; firstname.lastname@example.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 one-dimensional or two-dimensional? 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 three-dimensional space, a spiral (as on a cone) would still be one-dimensional wouldn't it? Only one dimension (length) is still needed to identify a point along it.