Introduction to vortex based mathematics

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How could there be  watertight scientific reason absolutely forbidding any gems - exept for one pearl, one ruby, and one diamond - from ever being found on the floor of the caspian sea? It sounds absurd.
This is typical of how we think about the physical world - we think of it as being filled with contingent events, facts that could be otherwise, situations that have no fundamental reason for their being as they are. But let me remind you that mathematicians see their pristine, abstract world as the antithesis to the random, accident-filled world we all inhabit. Things that happen in the mathematical world strike mathematicians as happening , without any exeptions for statable, understandable reasons. 


-Douglas Hofstadter , i am a strange loop

ORBO?

http://www.steorn.com/

"The recent developments in cosmology strongly suggest that the universe may be the ultimate free lunch." Alan Guth

where are you

Geometry of sound

Nature by numbers

Nature by Numbers from Cristóbal Vila on Vimeo.

Alt er overalt, hele tiden

kosevortex

det er jo tross alt søndag

frekvenser i tomater

fakta om bier

elektrisk ladet. er ikke alt og alle egentlig det? merkverdig uansett, denne lille faktasetningen:



"Most bees are fuzzy and carry an electrostatic charge, which aids in the adherence of pollen."

kilder: http://en.wikipedia.org/wiki/Bee
http://en.wikipedia.org/wiki/Electrostatic

men sansynligvis mer interessant, om biens flukt, altså "flying":

"In 1996, Charlie Ellington at Cambridge University, UK, showed how vortices rolling along the leading edge of many insects' wings were a vital source of lift."

SVINGRADIUS


Insekters vingeslag har vanligvis en svingradius, eller sirkelbue eller hva det nå heter, på variasjoner fra 145 til 165 grader. Honningbien nesten halvparten, 90 grader. Det er lite. Vingene er allerede små i forhold til kroppen. 230 vingeslag per sekund med den radiusen kan ikke i seg selv forklare at bien i det hele tatt holder seg i luften. Den teoretiske umuligheten for biens flukt ble slått fast allerede i 1934 i boken Le vol des insectes av en M. Magnan. Altså kunne det her ikke være snakk om vanlig flaksing, men noen mer finstemte bevegelser. I 2005 kunne man filme bier med tilstrekkelig anall bilder pr sekund for å kunne granske flyveteknikken nøye i slow motion.

"It is the more exotic forces created as the wing changes direction that dominate, says (Michael) Dickinson. Additional vortices are produced by the rotation of the wing. "It's like a propeller, where the blade is rotating too," he says. Also, the wing flaps back into its own wake, which leads to higher forces than flapping in still air. Lastly, there is another peculiar force known as "added-mass force" which peaks at the ends of each stroke and is related to acceleration as the wings' direction changes."

videoklipp: http://www.newscientist.com/data/images/ns/av/dn8382.avi

hovedkilde: http://www.newscientist.com/article/dn8382-secrets-of-bee-flight-revealed.html

Og sist men ikke minst, et aldri så lite innslag i den uendelige serien "ting som ser ut som hverandre".