TY - BOOK ID - 77861988 TI - Indra's pearls : the vision of Felix Klein AU - Mumford, David AU - Series, Caroline. AU - Wright, David. PY - 2002 SN - 1107713064 0511058977 1107712688 0511067437 1107718147 0511065302 1107050057 0511157207 9780511065309 9781107050051 9780511067433 0521352533 9780521352536 9781107712683 9781107564749 1107564743 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Geometry. KW - Symmetry. KW - Indra (Hindu deity) KW - Hindu gods KW - Aesthetics KW - Proportion KW - Mathematics KW - Euclid's Elements KW - Geometría Afín (4192209) KW - Bibliografía recomendada KW - Klein, Felix, KW - Klein, Christian Felix, KW - Klein, F. KW - Fractals. KW - Fractal geometry KW - Fractal sets KW - Geometry, Fractal KW - Sets, Fractal KW - Sets of fractional dimension KW - Dimension theory (Topology) KW - Klein, Félix. UR - https://www.unicat.be/uniCat?func=search&query=sysid:77861988 AB - Felix 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. ER -