Abstract
This is a proportional analysis of the stone garden of Ryoan-ji. In this thesis, I revise my previous dlssertation-'on the composition of the garden of Ryoan-ji by Dynamic Symmetry' published by Zoen-Zasshi (Journal of the Japanese Institute of Landscape Architects, vol.2, No.2, June, 1935).My revised analysis on the proportional study of Ryoan-ji garden is shown as in Fig. 1. In this analysis, I set my proportional unit upon the stone group C and D. The five stone groups totaling fifteen stones in this garden may be divided by two groups which are very heterogeneous from the viewpoint of stone-form and their treatment, namely between B, C, D groups and A, E groups. The B, C, D stone groups are arranged by the usual technik of Japanese old tradition just like taking root deeply, and all stones of these B, C, D groups are very popular as we can see in many other famous Japanese gardens, while the A, E stone groups, especially their main big two stones are tame mountain stones which have harsh corners and treated just like placing on garden surface. On these points and others, there are on deduction-are these two big stones of A, E groups changed after by some one? This deduction has been tried by the late Sensho Tanaka. On the standpoint of garden morphology, I think that this deduction is very important and requires furthe rexamination, so my proportional analysis evolve basing on the stone groups of C, D and B.This proportional analysis unfold to all stone arrangements concerning with the garden space by the golden section ratio and totally the rectangle abcd is composed as in Fig. 1. The method of this analysis is based on the Dynamic Symmetry by Jay Hambidge (1920) and this proportional analysis may be arranged by the following proportion series.0.292 0.472 0.764 1.236 2.000 3.236 5.236 8.472...(2)...0.146 0.236 0.382 0.618 1.000 1.6182.618 4.236...(1)1 2 3 4 5 6 7 8...0.326 0.528 0.854 1.382 2.236 3.618 5.854 9.472...(3)(1) is primary series which I maintained in 1939 with (2).(2) series is multiplied by 2 of each term of primary series, and (3) series is derived by totaling every each other term of primary series. All these proportional numbers of series are arranged by the ratio of golden section.It may be said that the stone arrangement of Ryoan-ji garden is very good generally by this proportional dissertation. But there are some problems partially. It is to be desired that main stone of A group in disregard of the above mentioned point, may be moved theoretically, and the curb stones of left hand side may be enlarged to the side ab of the compound rectangle abcd as in Fig. 1, although impossible under the present condition.
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