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### Geometric analysis of the bronze solar wheel and the half-gold mask based on the curve equations

DOI: 10.23977/tracam.2024.040104 | Downloads: 6 | Views: 165

Xiaofan Ge 1

#### Affiliation(s)

1 Department of Shipping and Marine Engineering, Chongqing Jiaotong University, Chongqing, China

Xiaofan Ge

#### ABSTRACT

The problems of drawing the pattern of the bronze sun wheel and estimating the surface area and volume of the half gold mask are difficult to resolve. In this paper, we first use the theory of the polar coordinate system and the curve fitting method to construct the curve equation model. Secondly, the Python and Excel software are used to solve the problems by drawing and programming comprehensively so as to derive the drawing law of different rays of the bronze sun wheel and estimate the surface area and volume of the complete gold mask. To solve the first problem, we first used the theory of polar coordinate system to calculate the coordinates of the five inner "rays", constructed a mathematical model of the five inner rays, then derived the general equation of the inner arcs, and then drew the bronze sun wheel patterns of four, six, eight and twelve rays according to the general equation. To solve the second problem, we first adjusted the picture of the half-golden mold in the title to a width of 23 cm2, used the nose tip of the gold mask as the coordinate origin to measure the discrete data points of the "two-eye side" and "two-ear side", then fitted and plotted the curves. The equations of the corresponding curves of "both eyes" and "both ears" in the gold mask and the surface area of the ears are calculated, and finally the surface area of the complete gold mask is estimated to be 721.54 cm2, the mass is 524.13 g. Finally, the model is tested and analyzed, the advantages and disadvantages of the model are evaluated objectively, and the model is extended horizontally and vertically.

#### KEYWORDS

Level coordinates; Semi gold mold; Curve equation; Curve fitting

#### CITE THIS PAPER

Xiaofan Ge, Geometric analysis of the bronze solar wheel and the half-gold mask based on the curve equations. Transactions on Computational and Applied Mathematics (2024) Vol. 4: 29-35. DOI: http://dx.doi.org/10.23977/tracam.2024.040104.

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