Find an IFS

mark

For each of the following self-similar images, find an IFS that generates that image:

SomeCallMeTim

For the spiral image, I started with the spiral example, then modified the rotation value, t, to 45 and the scale, r0, to .9. This produced the following code:

r0 = 0.90;
r1 = 0.08;
t = 45*degree;
[
rotate(t).compose(scale(r0)),
scale(r1,[1,0])
]

aisling

[
  scale(1/3),
   shift([1/3,0])
    .compose(scale(1/3))
    .compose(rotate(pi/3))    .compose(reflect([0,1])),
  shift([1/2,sqrt(3)/6]).
    compose(scale(1/3)).
    compose(rotate(-pi/3))
    .compose(reflect([0,1])),
  scale(1/3,[1,0])
]

eric

r0 = 0.92;
r1 = 0.14;
t = 130.5*degree;
[
  rotate(t).compose(scale(r0)),
  scale(r1,[1,0])
]