In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.
A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature.
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts).
In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point (i.e. Point Nemo/Problem).
In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight.
Intuitively, a curve may be thought of as the trace left by a moving point. This is the definition that appeared more than 2000 years ago in Euclid’s Elements: “The curved line is the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which will leave from its imaginary moving some vestige in length, exempt of any width.”
Poetry is Prometheus golden spiral expression. A small wave or series of waves along the surface of the water, caused by a slight breeze or an object dropping into it.
In Rabbit Hole, the Cube “falls” into the Ocean, diving deep to the Point Nemo.
Poetry in Swans of Hope is Prometheus ripples, his trace of existence, the flow or run from a point, the intuitive spiral movement away from the origin of the archetype problem.
Swans of Hope & Golden Spiral
