2015 Joint Mathematics Meetings
Larry Crone
Artists
Larry Crone
Associate Professor Emeritus
Department of Mathematics and Statistics, American University
Alum Bank, PA
Statement
For the past thirty years I have been using color to display complex valued functions. Such plots clearly show features such as zeros, poles, and branch cuts. I have also long been interested in the inverse Schroeder function, which is related to functional commutivity and the iteration of functions. I soon put the two together and discovered that it is particularly straight forward to plot the inverse Schroeder function corresponding to rational functions with a repelling fixed point at zero. Although these are all meromorphic, they are extremely complicated and their plots are often mistaken for fractals. I have investigated the plots of many inverse Schroeder functions, and have been overwhelmed by the beauty and variety of the images.
Artworks
![Image for entry '19 x 31'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NjI4NCwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--cfd92fd090c6b785a3ac9b26cd47dcc9f54c92a9%2F030214v2big_-_copy.jpg&w=1536&q=75)
19 x 31
13 in x 16 in
2014