Parametric Design Techniques Apply to Creative Hollow out Product Design with 3d Voronoi Patterns

Abstract

The creation of hollow out art includes a variety of materials, techniques and categories, its content mostly emphasizes the ancient philosophy performance of the alternation of virtual and real, and Yin-Yang depends on the essence of Chinese culture deduction. If this feature is applied to product design, in addition to emphasizing functional orientation, this traditional arts integration with the new media, will give users a different visual inspire. This thesis is mainly in view of the importance of hollow out art in Chinese cultural heritage, and the 3D hollow out production craft has gradually lost. Therefore, the Delaunay triangle is constructed based on the Convex Hull interpolation algorithm, and the Voronoi Diagram feature is constructed based on the Divide and Conquer algorithm. And with Rhino modeling software as the main body, combined with the application of the parametric plug-in design program (GH), the 3D models of the parametric creative hollow pen holder and the parametric creative hollow lampshade were respectively completed. The traditional craftsmanship is integrated into the modern manufacturing process with innovative techniques, and the Chinese cultural spirit and beauty of nature are successfully connected.

Architectural and Landscape Garden Planning Integrated with Artificial Intelligence Parametric Analysis

“…rough analysis, a certain factor that affects things is found, and then, they are qualitatively and quantitatively analyzed for data. e computer is input to compile the program to form the internal connection with the result, and the arithmetic unit is used to substitute the different values of the influencing information factors to construct the method of different information models of the output [1][2][3][4][5].…”

Maker Math: Exploring Mathematics through Digitally Fabricated Tools with K–12 In-Service Teachers

“…Mathematics, nature, and beauty have historically been intertwined, with mathematical discourse frequently emphasizing the aesthetic pleasure that can be derived from the elegance, harmony, and order found in numbers, patterns, and shapes [5,6]. The beauty of mathematics takes many forms, including the divine beauty of the golden ratio and Fibonacci sequence found in the arrangement of seeds in a sunflower [1,7]; the natural beauty of the Voronoi structures located in leaf cells, giraffe markings, and dragonfly wings [8]; and the elegant beauty that exists in the simplest and most charming mathematical proofs [9]. Yet, despite the natural connection between aesthetics and mathematics, K-12 (K-12 is a short form for the publicly supported school grades prior to college.…”

“…Yet, despite the natural connection between aesthetics and mathematics, K-12 (K-12 is a short form for the publicly supported school grades prior to college. These grades are kindergarten (K) and the 1st through the 12th grade (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)) education fails to acknowledge the relationship between mathematical inquiry, nature, and the arts [5] and lacks the meaningful, real-world connections required to foster a lifelong appreciation of the wonder, joy, and beauty of mathematics [10,11]. Therefore, researchers and teacher educators need to support practitioners by expanding their conceptualization of mathematics [12].…”