[math-fun] Atrocious function plots
A short while back, I described a purported plot of the classical Beta function at http://mathworld.wolfram.com/BetaFunction.html --- or maybe it was the the very similar offering at https://en.wikipedia.org/wiki/Beta_function --- as "passable identikit". Given that identikit reconstructions are notorious for bearing at best only a remote resemblance to their subjects, the verdict may well have been more appropriate than I could known at the time. The sole noteworthy feature of these hilarious travesties proves to be merely a lattice of vertical planar artifacts, resulting from a misguided attempt to plot across lines of discontinuity, and completely obliterating any structural detail of the actual surface. In the course of drafting an account of the recent discussion of binomial coefficients in this list, I took up Gosper's challenge to produce an accurate plot of the associated function of two real variables; and while I was at it knocked out a plot of the (closely related) Beta function, which I have now posted at https://www.dropbox.com/s/rzcojf8wibd0mpw/beta5.png Compare the competing versions; and weep. Fred Lunnon
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Fred lunnon