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National Repository of Grey Literature 1 records found  Search took 0.01 seconds. 
Construction of a von Koch snowflake
 Bouchala, Ondřej ; Hencl, Stanislav (advisor) ; Vlasák, Václav (referee)
A Mapping from C onto C is quasiconformal, if it maps "infinitesimally small circles" onto "infinitesimally small ellipses". In other words, its real derivative in almost every point (which is for each point linear mapping from plane to plane) maps circles to ellipses with bounded ratio of axes. Koch snowflake is well-known inductively defined fractal: Using Beurling-Ahlfors extension we will prove, that there exists quasi- conformal mapping from the plane onto the plane, which maps unit disk onto Koch snowflake. 1
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