As pointed out recently by Strichartz [5]. the arclength of the graph \(\Gamma(S_N(f))\) of the partial sums \(S_N(f)\) of the Fourier series of a jump function \(f\) grows with the order of \(\log N\). In this paper we discuss the behaviour of the arclengths of the graphs of trigonometric interpolants to a jump function. Here the boundedness of the arclengths depends essentially on t... https://www.roneverhart.com/Phi-Mu-Mom-Dad-Embroidered-Button/