MORE FRACTALS, FORSOOTH

by Ben Smith



This month's degree-level maths lecture comes from Ben Smith who's

first of all come up with a program that demonstrates 'period-

doubling'. It shows a progression from order to chaos which occasionally

lapses back into order. (Actually it does it backwards for some

reason, going from chaos to order.) The equation used is x=Rx(1-x)

with R increasing slowly.



Ben also enclosed his version of the Strange Attractor. Astute readers

will have spotted this one way back when, but Ben's program is a bit

shorter and faster.