Pythagoras Tree
French Polynesia /
Tubuai /
Rapa /
World
/ French Polynesia
/ Tubuai
/ Rapa
green area, do not draw title, polygon art
A plane fractal, that is constructed from squares.
Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, who named it after Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used to depict the Pythagorean theorem.
If the largest square has a size of L × L, the entire Pythagoras tree fits snugly inside a box of size 6L × 4L. The finer details of the tree resemble the Lévy C curve.
Hausdorff dimension:
log(2) / log(2/√2) = 2
List of fractals by Hausdorff dimension:
en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dim...
Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, who named it after Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used to depict the Pythagorean theorem.
If the largest square has a size of L × L, the entire Pythagoras tree fits snugly inside a box of size 6L × 4L. The finer details of the tree resemble the Lévy C curve.
Hausdorff dimension:
log(2) / log(2/√2) = 2
List of fractals by Hausdorff dimension:
en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dim...
Wikipedia article: http://en.wikipedia.org/wiki/Pythagoras_tree_(fractal)
Nearby cities:
Coordinates: 58°4'48"S 158°5'51"W
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