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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIndra's pearls $ethe vision of Felix Klein /$fDavid Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2002.
215   $a1 online resource (xix, 395 pages) $cdigital, PDF file(s)
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-56474-3 
311   $a0-521-35253-3 
327   $aThe language of symmetry -- A delightful fiction -- Double spirals and Mo?bius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map.
330   $aFelix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these images barely existed outside the imagination of mathematicians. However, in the 1980s, the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
606   $aFractals
615  0$aFractals.
676   $a514/.742
700   $aMumford$b David$f1937-$042095
702   $aSeries$b Caroline
702   $aWright$b David James
702   $aGonick$b Larry
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801  1$bUkCbUP
906   $aBOOK
912   $a9910449939603321
996   $aIndra's pearls$91903602
997   $aUNINA