Journal
JOURNAL OF MATHEMATICS AND THE ARTS
Volume 16, Issue 4, Pages 309-335Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513472.2022.2124475
Keywords
Castel del Monte; geometrical analysis; Golden ratio; Silver ratio; towers; polygons; proportional analysis
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The aim of this study is to analyze the Castel del Monte plan using geometrical relationships based on the golden ratio and silver ratio. The importance of the silver ratio is emphasized, and a castle's ideal plan using only the silver ratio is proposed.
The aim of this work is the study the Castel del Monte plan by means of geometrical relationships based on the golden ratio and silver ratio. Particularly, we emphasized the aspects of the silver ratio. There are some observations regarding that certain octagonal plans of historical buildings hypothetically influenced Frederick II in the choice of octagonal geometry for the plan of the castle. From this point of view, we moved to the discussion of the golden ratio and the silver ratio, and to the application of the two metallic ratios in the analysis of the Frederician castle geometry. Moreover, the construction of the castle's ideal plan is proposed in which only the silver ratio has been used. In this case, the geometric proportions between the parts remain harmonious and some slight differences in the castle plan, which is based on the golden ratio and silver ratio, are removed. [GRAPHICS] .
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