Recently, greenery system is frequently applied on buildings and artificial grounds to improve urban ecological functionality. Specifically, architectural greenery is also known as an architectural language that can meet the sustainable design concept of architects. Although the architectural greenery system can be optimized through an interdisciplinary approach between architecture, horticulture and landscape- architecture, there is a problem of communication on the ideal gap between them. Therefore, this study is expected to establish the comtemporary architecture as hi-tech and the organic architecture in internationalism. Moreover, it can analyze the case study on architectural greenery system designed by a Pritzker Prize winner who represents the comtemporary architectural trend. In this analysis, we calculate and compare the U-value of the free-form surface system based on the international standards: ISO and CIBSE etc. Moreover, we calculate a change of artificial soil transmittance respect on compounding ratio of the bottom ash and pearlite. In the case of California Academy of Science by Renzo Piano, total transmittance of the greenery system results in 48% of domestic thermal insulation standard in dry condition. This result will be used as a basic study to promote developing the advanced system based on the concept of consilience.