中世のイスラム建築における十角形と準結晶型のタイル
Peter J Lu1, Paul J Steinhardt
1Department of Physics, Harvard University, Cambridge, MA 02138, USA. plu@fas.harvard.edu
Science (New York, N.Y.)
|February 27, 2007
まとめ
中世のイスラムの建築家は,紀元1200年までに幾何学的なタイルを用いてギリフのパターンを作成するための新しい方法を開発しました. この革新は,西洋の発見の数世紀前に準結晶のパターンを含む複雑なデザインにつながった.
科学分野:
- 美術史 美術史 美術史 美術史 美術史
- ジオメトリックパターンの分析
- 建築デザイン 建築デザイン
背景:
- イスラム建築におけるギリ・パターンの伝統的な理解.
- 以前は,ストレートエッジとコンパスを用いた幾何学的なデザインの描写方法でした.
研究 の 目的:
- 紀元約1200年頃のギリフパターンのデザインにおける概念的シフトを調査する.
- girihパターンの複雑性の進化とその準結晶構造との関連を分析する.
主な方法:
- 歴史的なギリヒのパターンと建築設計図の分析.
- 設計プロセスの再構築は,幾何学的な原理に基づいています.
- イスラムのパターンと,西側の準結晶の発見の比較.
主要な成果:
- Girihのパターンは,西暦1200年までに"girihタイル" (平辺多角形) のテッセレーションとして再考された.
- このタイルベースのアプローチは,複雑な周期的なギリフパターンの作成を容易にした.
- 15世紀までに,自己類似の変形はテスレーションと結合され,準結晶のパターンが得られました.
結論:
- 1200年頃,イスラムの幾何学的な設計において,重要な概念的ブレークスルーが起こった.
- girihタイルの使用は,テスレーションと準結晶の西洋の理解を先行しています.
- イスラムの建築デザインは,その時代より何世紀も前に進んだ数学と幾何学の原理を示した.
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