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文化基因视角下苗族铜鼓纹数学逻辑解码与参数化创新研究OA

RESEARCH ON THE DECODING OF MATHEMATICAL LOGIC AND PARAMETRIC INNOVATION OF MIAO BRONZE DRUM PATTERNS FROM THE PERSPECTIVE OF CULTURAL GENES

中文摘要英文摘要

苗族铜鼓纹作为苗族文化的核心视觉载体,蕴含着深厚的文化内涵与隐性数学逻辑.本文基于文化基因理论构建"隐性-显性"双层框架,从形态、纹样、构成、空间4个维度解构其编码体系与数学逻辑,创新性地提出控制点形状文法衍生设计方法,将二者转化为参数约束,在Grasshopper构建可调控模型,实现纹样文化本真下的多维度演变,并将生成的纹样应用于文创、室内空间装饰,验证其可行性与美学表现力.实验表明,该方法高效生成兼具文化识别度与创新性的纹样序列,实现二维到三维的跨媒介应用.本文建立的"文化基因-数学逻辑-参数化转译"方法论,为传统纹样数字化保护与创新提供理论与实践支撑.

As a core visual carrier of Miao culture,the patterns of Miao bronze drums embody profound cultural connotations and implicit mathematical logic.According to the theory of cultural genes,a"hidden-explicit"dual-layer framework is constructed in this paper to deconstruct the encoding system and mathematical logic of four aspects:form,motifs,composition and space.It has put forward a new design method of control point shape grammar and turned both into parametric constraints.Grasshopper can be used to construct a controllable model that can change in several ways based on the original cultural features of the pattern.The generated motifs are used in the cultural and design sections of products and interior spaces to check for practicality and beauty.According to experiments,in this way a pattern sequence that is both culturally recognizable and new can be generated,and it will be applicable to various forms,such as 2D and 3D.The system of"cultural genes-mathematical logic-parametric translation"has provided both the theoretical basis and the operating basis for the digitalization and innovation of traditional motifs.

邓绍川;彭莉

贵州大学机械工程学院贵州大学机械工程学院

通用工业技术

铜鼓纹文化基因参数化设计Grasshopper形状文法数字化重构

Bronze drum motifsCultural genesParametric designGrasshopperShape grammarDigital reconstruction

《设计》 2026 (16)

27-31,5

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