On the modeling of the object surface reliefs of marble handicrafts using quartic curves and circles

1st International Conference on Environmental Geography and Geography Education

生态环境科学;地球科学

Kusno^1 ; Agustin, I.H.^1 ; Halikin, I.^1

Department of Mathematics, University of Jember, Indonesia^1

关键词: Marble surfaces;    Object surface;    Space curve;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/243/1/012017/pdf
DOI  :  10.1088/1755-1315/243/1/012017

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

This paper deals with the construction of the various reliefs of marble handicrafts. The purpose of this discussion is to obtain some curve formulas and procedures for designing the reliefs of the marble surface. The method is as follows, we present the quartic curve of the algebric form into the Hermit model and we simulate some procedures to construct the reliefs that are generated by the space curves and the circles. Then, making some prototypes of the marble object reliefs are introduced. The results found one formula of geometric quartic curve with its boundary conditions of Hermit type, some procedures and formulas to evaluate and model the reliefs of marble surfaces, and the prototypes of the marble handicrafts.