Titze's extension theorem

Values defined continuously within a closed subspace can be extended to the entire space while maintaining continuity, provided the conditions are favorable.

This approach involves extending the "continuous conditions" such as light, temperature, sound, and density present in parts of existing buildings naturally into the city and surrounding space, rather than abruptly cutting them off at the boundary.

中央の明るいホールを「局所で定義された連続性」とし、屋根・床・テラス・階段・広場の水平レイヤーがそのまま外部へ拡張していく構成

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A hall where local spatial conditions are extended to the entire building.

The golden lines represent the rules of space defined internally, which continuously extend to the architecture and the entire city.

Mathematical Architecture

space