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.