Function with 4-Fold Symmetry
Puzzle: Find a function \(f: \R \rarr \R\) with 4-fold rotational symmetry.
Math
Plotting Functions on Ordinals
Let’s say we’ve defined a function f from ordinals to ordinals and want to plot it like we might plot a function from integers to integers. We want to line up our ordinals on the x- and y-axes, and plot a point at (x, f(x)) for each ordinal x. Well where should we actually put those ordinals on the axes? This simple question is the topic of this post.