Schwarz-Christoffel Mappings and The Koch Snowflake | Nathan Dalaklis скачать в хорошем качестве

Schwarz-Christoffel Mappings and The Koch Snowflake | Nathan Dalaklis

Last time we talked about Conformal Mappings, but we didn't really give any specific examples. This episode is dedicated to producing a few of them that fall into the category of Schwarz-Christoffel Mappings. Being a bit handwavy, we'll look at the general form of a Schwarz-Christoffel mapping from the upper-half plane, and other mappings onto polygons. The coolest of which involve the Koch Snowflake, a fractal, which extends the idea of these mappings to "divergent polygons" ones with infinitely many sides and vertices. This video was inspired by the paper by Gonzol Riera, Hernán Carrasco, and Rubén Preiss (2008) linked here: http://dx.doi.org/10.1155/2008/350326 Last Video: http://bit.ly/2nr4vWb ________________________________________________ Find the CHALKboard on Facebook: http://bit.ly/CHALKboard Interested in the person behind the camera? See what Nathan's up to on these platforms! Instagram: http://bit.ly/INSTAnatedlock Twitter: http://bit.ly/TWITTnatedlock _____________________ ---------------------------------- #CHALK #KochSnowflake #Analysis _____________________ ----------------------------------