Triangle Explorer
Box Dimension
Sierpiński Triangle Explorer
Depth:
0
Animate
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Depth (n)
Number of Triangles (3
n
)
Total Filled Area ((3/4)
n
)
Box-Counting Dimension Lab
The dimension is calculated using the triangle at depth
4
from the explorer.
Box side length s = 1/2
k
(k=
1
)
N(s) =
?
Add Data Point
Plot log-log
Fit Line & Show Slope
Reset Data
k
log(1/s)
log(N(s))