Fibonacci spirals in nature


	Fibonacci spirals in nature

wildcat

5-6-2007 5:33 AM

1694 views

tags:

science, nature, research, spirals, fibonacci, evolution

2 Comments |

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5-6-2007 1:36 PM

skwirlinator

How the universe is constructed- well, some of it.

5-7-2007 10:54 AM

invictus

I've always been fascinated with Fibonacci spirals and the yet-to-be-discovered explanations behind it. As a prehistory, ancient belief systems and myths enthusiast, it also fascinates me when I think of the ancient "universal power" or "creation energy" symbols, depicted as "spirals". Thanks Wildcat, I'm adding this to my collection.

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/6b28af51-0318-4da4-a057-7e29c9952948/5E6D869C-4737-4180-A334-BCB8BF7841F2/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://physorg.com/news97227410.html" href="http://physorg.com/news97227410.html" style="font-size: 11px;">physorg.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://physorg.com/news97227410.html"><H1>Scientists find clues to the formation of Fibonacci spirals in nature</H1></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://physorg.com/news97227410.html"><div align="center"><img src="http://content7.clipmarks.com/blog_cache/physorg.com/img/FCAE054A-64F7-46FD-854A-095A1EC202FB" alt="Conical shapes with irregularities produce parastichous spiral X patterns such as on the scientists microstructure at left and a strawberry at right. Credit: Li et al. 2007 Applied Physics Letters." /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://physorg.com/news97227410.html">  
While the aesthetics and symmetry of Fibonacci spiral patterns has often attracted scientists, a mathematical or physical explanation for their common occurrence in nature is yet to be discovered. Recently, scientists have successfully produced Fibonacci spiral patterns in the lab, and found that an elastically mismatched bi-layer structure may cause stress patterns that give rise to Fibonacci spirals. The discovery may explain the widespread existence of the pattern in plants.</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://physorg.com/news97227410.html">Patterns that evolve naturally are generally an optimized configuration for an assembly of elements under an interaction,” Cao explained to <I>PhysOrg.com</I>. “We conjecture that the Fibonacci spirals are the configuration of least elastic energy.</blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/5E6D869C-4737-4180-A334-BCB8BF7841F2/blog/" title="blog or email this clip"><img src="http://content8.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>

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