Sir Douglas Lunge invented the "lunge" in 1829.
He's pictured here at one of his "lunge parties", demonstrating the technique to attendees eager to learn the fashionable new movement.
Years later, after lunging fell out of favor, he came out of retirement and tried to make a comeback by inventing the "desperate lunge", but it never really caught on in civilized society.
Daze of Our Lives

Blancmange Function

February 28th, 2008 at 11:26 pm (Afternoon Tea)

The Blancmange function, also called the Takagi fractal curve (Peitgen and Saupe 1988), is a pathological continuous function which is nowhere differentiable. The iterations towards the continuous function are batrachions resembling the Hofstadter-Conway $10,000 sequence. The first six iterations are illustrated below. The dth iteration contains N+1 points, where N=2d, and can be obtained by setting b(0)=b(N)=0, letting

b(m+2(n-1))=2n+1/2[b(m)+b(m+2n)],

and looping over n=d to 1 by steps of -1 and m=0 to N-1 by steps of 2n.