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LOGARITHMIC SPIRALS
We are the local embodiment
of a cosmos
grown to self-awareness,
we have begun to contemplate our origins:
starstuff pondering the stars;
organized assemblages of ten billion billion billion atoms
considering the evolution of atoms;
tracing the long journey by which, here at last,
consciousness arose...
Our obligation to survive is owed,
not just to ourselves,
but also to that cosmos,
ancient and vast,
from which we spring.
- Carl Sagan
Image Credit: M101 - NASA, ESA, CFHT, NOAO; Typhoon Rammasun - MODIS, NASA
Comparison: Lawrence Anderson-Huang (Ritter Astrophysical Obs., Univ. Toledo)
Uncomfortably close Typhoon Rammasun (right) and 25 million light-year distant galaxy M101 (left) don't seem to have much in common. For starters, Rammasun was only a thousand kilometers or so across while M101 (aka the Pinwheel Galaxy) spans about 170,000 light-years, making them vastly dissimilar in scale, not to mention the different physical environments that control their formation and development. But they do look amazingly alike: each with arms exhibiting the shape of a simple and beautiful mathematical curve known as a logarithmic spiral, a spiral whose separation grows in a geometric way with increasing distance from the center. Also known as the equiangular spiral, growth spiral, and Bernoulli's spiral or spira mirabilis, this curve's rich properties have fascinated mathematicians since its discovery by 17th century philosopher Descartes. Intriguingly, this abstract shape is much more abundant in nature than suggested by the striking visual comparison above. For example, logarithmic spirals can also describe the tracks of subatomic particles in a bubble chamber, the spirals in a snail shell, a pine cone, the arrangement of pinecones and sunflower seeds.
We are one with the universe, dancing in spirals of lessons. These can be spirals into light or spirals into darkness; sweetening spirals of stars and snails and plants being born, evolving, growing, dying (a natural part of life's processes), and being reborn through spirit and through our children, or vicious circles of anger, hurt, fear and abuse - which we pass on as exploitation and abuse of others.
- D.B.
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