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1. Todai Ji

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   Architectural Features
   Tōdai-ji exemplifies the sophisticated integration of Karatane architecture, a style that emerged from Japan's close cultural exchange with the Tang Dynasty. The temple's design incorporates the golden ratio $$\Phi = \frac{1+\sqrt{5}}{2}$$ throughout its spatial planning, though Japanese architects adapted this principle into the concept of ma-no-hibiki (間の響き, "spacing resonance"). Unlike Tang builders who understood the golden ratio as promoting "dimensional resonance" for spiritual harmony, Karatane practitioners theorized th…