# Research on the Parametric Design and Application of Ceramic Modeling Based on Python
## 3 Parametric Design Practice
### Application of Parametric Design  
To verify and demonstrate the practical application effects and advantages of the Python-based ceramic shape parametric design system, this section particularly selects the traditional Chinese bottle named by Yuhuchun as a representative case for in-depth discussion. The Yuhuchun bottle, as a typical form in Chinese porcelain design, evolved from the water purification bottles found in Tang dynasty temples, featuring a basic shape comprised of a flared mouth, slender neck, hanging abdomen, and ring foot, along with aesthetically pleasing lines formed by symmetrical \"S\"-shaped curves on both sides. Throughout the Song, Yuan, Ming, and Qing dynasties, the Republic of China era, and up to modern times, the Yuhuchun bottle has not only been widely used in practical applications but has also been highly esteemed in artistic appreciation. As a masterpiece of traditional Chinese ceramic art, the Yuhuchun bottle is renowned for its unique shape, elegant lines, and rich cultural heritage, demanding extremely high standards for design precision and detail processing, making it an ideal subject for testing the performance of parametric design systems [15].  
In the parametric design process of the Yuhuchun bottle, we strictly adhered to the parametric design procedures and technical details previously outlined. Firstly, through an in-depth analysis of the Yuhuchun bottle's shape, we identified and defined the key parameters that influence its form, such as the bottles radius, the length and angle of the neck, and the diameter of the base. Subsequently, using Python programming language in conjunction with Rhino and Grasshopper plugins, we constructed a parametric model (see Figure 8) [16]. Through Python code, we precisely controlled key parameters such as curve rotation, surface generation, and wall thickness adjustments. By adjusting these core parameters (see Figures 9 and 10), we rapidly generated and optimized the shape of the Yuhuchun bottle, ensuring the accuracy and aesthetics of the final design.  
Figure 8: Parametric generation and display of Yuhuchun bottle shape.  
Figure 9: Python code parameterization generation display. At this point, the wall thickness of the ceramic bottle is 10.6 cm.  
Through the aforementioned parametric design system, we successfully generated multiple jade pot spring vase designs in different styles and converted them into physical models using 3D printing technology (see Figure 11). Compared with traditional manual design, parametric design combined with 3D printing takes about 1 h to print a model approximately 25 cm tall, which not only meets the personalized rapid customization needs of the cultural tourism industry at tourist attractions but also significantly improves design efficiency, allowing designers to easily explore more diverse design solutions [17]. Meanwhile, we analyzed the generated models using fuzzy comprehensive evaluation [18] (see Figure 12), and the results showed that parametric design has significant advantages in enhancing the aesthetic characteristics of product shapes (see Figures 13-15).  
Figure 11: Parametric model of 3D printing.  
Figure 10: Python code parameterization generation display. At this point, the wall thickness of the ceramic bottle is 19.4 cm. (Take the parameter of final half diameter as an example. Only this parameter was adjusted, from 10.6 cm to 19.4 cm. It can be seen that the appearance of the ceramic bottle has undergone a significant change).  
In summary, through the parametric design practice of the classic Yuhuchun vase shape, we have fully verified the practicality and effectiveness of the ceramic shape parametric design system based on the Python platform. This system not only provides ceramic designers with powerful design tools but also offers strong support for the diversified and personalized development of the ceramic industry. In the future, we will continue to deepen our research and application of parametric design, promoting the deep integration of ceramic art and modern technology.