Getting R into your bathroom
Have you ever considered how to use R when decorating your home? In this presentation I will show how R can be used to generate beautiful mathematical patterns based on complex numbers. In my case, we will use the patterns for the mosaics of the bathroom floor in our house.nnThe patterns are based on the work of the Danish statistician and actuarian Thorvald N. Thiele. Thiele was a pioneer in statistics and his contributions are described in full by Professor SteffennLauritzen in "Thiele: Pioneer in Statistics. Oxford University Press, 2002.". Thiele was among the founders of the first Danish insurance company, whose floor in the main entrance is designed by Thiele's own patterns.nnThe structures in the patterns comes from properties of the Gaussian integers, Z[i], where Z[i] = a + bi with a and b being integers. In the ggthiele (in progress) project we utilise ggplot2 to produce the patterns, which are based on quadratic residue classes. Some examples of the patterns can be seen at http://people.math.aau.dk/~tvede/useR2016/thiele.pdf.