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So many theories have been presented on the function and the shape of Chŏmsŏngdae. Among them, observatory theory, gnomon theory, Choubisuanching theory, Sumeru theory and well theory is remarkable. But these theories except well theory have some problems. Observatory theorists claimed that Chŏmsŏngdae was an observatory. But the space for observation is too high and too narrow for observational work. The floor is not even and four sides of the upper rectangular space doesn’t indicate compass direction exactly, so it is difficult to fix the coordinates on the celestial sphere. Gnomon theorists claimed Chŏmsŏngdae was a gnomon whose shadow indicated 24 seasonal divisions and hours. But the rectangular space on the top of it which cast shadow does not indicate compass direction exactly so it is difficult to find 24 seasonal divisions. Besides the upper rectangular stone is not appropriate for pointing hour line. The window on the middle of Chŏmsŏngdae is not appropriate for observing 24 seasonal divisions because it doesn’t faces the south exactly. Choubisuanching theorists asserted that Chŏmsŏngdae was an annex of astronomical observatory. Chŏmsŏngdae was a monumental symbol of Silla science. The structure of Chŏmsŏngdae expresses the arithmetical ratio such as circular constants and Pythagorean theorem. But the ratio is ambiguous and too subjective. and they claimed that 366 stones connoted 366 days in a year, and 28 layers connoted 28 constellations. But the numbers were made up by artificial manipulation. Sumeru theorist claimed that Chŏmsŏngdae was an altar modeling itself on Sumeru. It was the only theory which try to explain bottle-shaped structure. But compared with rectangular body and sandglass shape of Sumeru, Chŏmsŏngdae has rounded body and take the shape of trapezoid. No theory but well theory could grasp the substance of Chŏmsŏngdae.