Plot and fill chessboard-like area (and the similars) in R

Question

I need some suggestion of how to plot 2D figures and fill them effectively in R. I need to visualize some mathematical \"oddities\", for example the Sierpiński

Answer 1

Something like so? Start with a matrix representing your data

mx <- matrix(rep(c(T, F), 5), nrow=3, ncol=3)
#      [,1]  [,2]  [,3]
# [1,]  TRUE FALSE  TRUE
# [2,] FALSE  TRUE FALSE
# [3,]  TRUE FALSE  TRUE         

and then melt/plot:

library(reshape2)
library(ggplot2)
ggplot(melt(mx), aes(x=Var1, y=Var2, fill=value)) + geom_tile()

Is that what you're looking for?