> So I have the following program which I wrote to calculate the boundary of a
> gosper island, which it does quite admirably.  However, according to my logic,
> all resultant points should have an x coordinate -length/2 <= x </ length/2

What logic is that? To me it seems feasible that if you just consider 
the very left-most piece at each iteration, it's just rotating 
anti-clockwise, so eventually it might start to point left rather than 
right?

> but
> I consistantly get a couple coordinates outside that area for values of epsilon
> smaller than ~0.17

FWIW if you zoom in on the POV version it does indeed go back further 
than the starting point after the 5th iteration (see attached).

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