Convergence of Deterministic IFS
First, note
S
1
⊆
S
0
= (
S
0
)
0
,
where the second subscript 0 indicates an e-thickening with e = 0.
To be sure
S
1
is thickened enough to cover all of
S
0
, note we must cover the upper right corner of
S
0
.
To do this, thickening
S
1
by
1/2
suffices.
That is,
S
0
⊆ (
S
1
)
1/2
,
Consequently, h(S
0
, S
1
) = 1/2.
Return to
Hausdorff Distance Convergence Example
.