Re: FASS curves

D=2 type of curves that fit together to fill space is indeed thought to be an infinite set.
The Perron polynomial generated fractal tiles seems to be Infinite.
I've seen a large number from just a few basic
polynomials.
Giancarlo Bassi wrote:
FASS is an acronym of Filling space, self Avoiding, Simple, Self similar
Well known FASS curves are:
Peano's curve (3 variants), Hilbert's curve, Gosper's quadratic and
hexagonal curves, Fass1 and Fass2 (from fractint.l file),
Dekking's church, Heighway, Pentive3, Terdragon (from McWorter home page).

I'd like to know whether there are some other.

Thanks a lot,
GB

---
"I'm no Pawn, I'm Donald Duck ! "
-- Donald in MathMagic Land


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Relevant Pages

  • Re: FASS curves
    ... On Sat, 22 Apr 2006, Roger Bagula wrote: ... infinite set. ... The Perron polynomial generated fractal tiles seems to be Infinite. ... "I'm no Pawn, I'm Donald Duck! ...
    (sci.fractals)
  • FASS curves
    ... FASS is an acronym of Filling space, self Avoiding, Simple, Self similar ... Well known FASS curves are: ... "I'm no Pawn, I'm Donald Duck! ...
    (sci.fractals)