| 翻訳と辞書 |
| Pythagoras tree (fractal) ： ウィキペディア英語版 |
Pythagoras tree (fractal)
The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942,〔http://www.arsetmathesis.nl/bruno0402.htm〕 it is named after the ancient Greek mathematician 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 6''L'' × 4''L''.〔(Wisfaq.nl )〕 The finer details of the tree resemble the Lévy C curve.
==Cows and Cowards==
The construction of the Pythagoras tree begins with a square. Upon this square are constructed two squares, each scaled down by a linear factor of ½√2, such that the corners of the squares coincide pairwise. The same procedure is then applied recursively to the two smaller squares, ''ad infinitum''. The illustration below shows the first few iterations in the construction process.〔(Wisfaq.nl )〕〔
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「Pythagoras tree (fractal)」の詳細全文を読む
スポンサード リンク
| 翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|