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A New Tw ist t o the DNA Form at ion

The "DNA" fo rmat ion o f 1996 , was so named fo r i t s s im i la r i t y to the

fami l ia r Deoxyr ibonuc le ic Ac id double he l ix , a b io log ica l codedprogram, fa r more c ompact than any syn the t ic p rogram s to rage

met hods. How ever , as you w i l l d iscover , th is fo rmat ion a lso

represents sine waves. A s ine w ave is a g raph , tha t c o r responds to

na tu ra l back and fo r th movement o r v ib ra t ion . L ike the anc ien t Y in

and Yang, there is a c onnec t ion be tw een c i rc les and s ine w aves.

Jus t as the c i r c le i s t he m os t na tu ral shape , t he s ine w ave i s t he

most na tu ra l w ave .

A wavelength, i s the d is tance a w ave requi res to sw ing up and dow nonce . I f the ten la rger c i rc les were the no tches o f a ru le r , each o f

the t w o over lapp ing w aves w ou ld be four un its in leng th , and shi f ted

one un i t apar t . There fore , the tw o w aves are sh i f ted one quar te r o f a

w ave leng th apart . Th is charac te r is t i c o f bo t h w aves combined , i s

much more s ign i fi can t i n re la t i on to t he c i r c le t han t hat o f e i t her

w ave ind iv idua l ly .

The cheapest w ay to demonst ra t e how th is quarte r sh i f t

charac t e r is t i c re la tes to a c i rc le , i s to ge t a ho ld o f a toy tha t ' s beenknow n fo r decades as an Etch-a-sketch. The Etc h-a -ske t ch a l lows you

to p lo t des ired pa t te rns on i t s sc reen , by tu rn ing i t s ve r t i ca l and

hor izon ta l con t ro l knobs . Turning t he knobs back and fo rth in smooth

mot ions as per t he charac t e r is t i c , resu l t in a c i rc le being p lo t ted .

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Anothe r examp le o f t he w ave c i r c le c onnec t ion , i s t he a l t e rna t ing

cur ren t o r AC, produced bya dynamo. A b i cyc le dynamo used to pow er

a headl igh t , p roduces a cur ren t tha t a l te rna tes pos i t i ve ly and

nega t i vel y i n ac co rdance w i th t he s ine w ave, each t ime the the

dynamo ro to r tu rns .

A device ca l l ed an oscilloscope, can be used to p lo t e lec t r i ca l w avessuch as the a l te rna t ing cur ren t s ine wave . More impor tan t ly , the

osc i l loscope can be used as an accura te E tch-a -ske tch , be ing un-

e f fec t ed by human er ro r . Connect ing t w o s ine w aves to the ver t i ca l

and hor izon ta l inputs o f an osc i l loscope , aga in, as per the

charac t e r is t i c , p lo ts an acc ura te c i rc le on i t s sc reen .

The osc i l loscope , l i ke the E tch-a -ske tch , combines the two s ine

waves a t r igh t -ang les to p roduce a c i rc le . Drawing t hese waves a t

r igh t -ang les t o each o ther , show how po ints on one cor respond topo in ts on the other, as w e l l as the c i rc le . The tw o w aves cor respond

to t he 360 degrees o f a c i rc le , and fo rm the bas is for a b ranch o f

ma themat i cs ca l l ed trigonometry.

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I n t r i gonomet ry , ou r two waves a re ca l l ed the sine and cosinefunc t ions o r sin and cos fo r shor t . Any po in t a long the edge o f a

c i rc le , has co -o rd ina tes be t w een pos i t i ve and negat ive one in

acc ordance w i th these s ine and cos ine func t ions . Th is can be p roven

us ing a sc ient i f i c pocke t ca lcu la to r (o r a ca lcu la to r on a modern P.

C. ) by s imp ly en te r ing a number be tween 0 and 360 , then p ress ing

e i ther the s in o r cos bu t ton . The answ er g iven by the ca lc u la to r can

be c on f i rmed on the above g raph .

The DNA forma t ion show s bo th the s ine and c os ine func t ions w i thunmis takab le s im i la r i t y . What 's a lso in te res t ing , a re the four waves

in to ta l , tw o s ine and t w o cos ine . We k now tha t a s ine-cos ine pa i r

re la te to one fu l l c i rc le , the re fo re two pa i rs must re la te to two

c i rc les . The t w o la rges t c i rc les a t e i t her end o f the fo rmat ion a re

ex t ra c lues c on f i rm ing i t s w ave mean ing , each one re la t ing to i t s

ne ighbour ing w ave pa i r .

Be low is one rend i t ion o f the DNA format ion on t he c e i l ing o f The

Barge Inn.

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Copyr igh t Bre t t Par rot t 2007

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