Research on the Type Synthesis of a Regular Hexagonal Prism Rubik’s Cube Mechanism

IF 2.1 3区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Machines Pub Date : 2023-12-21 DOI:10.3390/machines12010006

Dabao Fan, Daxing Zeng, Weijian Tan, Wenjuan Lu, Haitao Liu, Yulei Hou

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引用次数: 0

Abstract

The Rubik’s Cube mechanism (RCM) is a kind of reconfigurable mechanism with multiple characteristics such as multiple configurations, variable topology, strong coupling, and reconfigurability. Crossover research on the RCM with mathematics, chemistry, cryptography, and other disciplines has led to important breakthroughs and progress. It is obvious that the invention and creation of a new RCM can provide important ideological inspiration and theoretical guidance for the accelerated iterative updating of Rubik’s Cube products and the expansion of their applications. This paper investigates the type synthesis method for a regular hexagonal prism (RHP) RCM (RHPRCM). Through analysis of the reconfigurable movement process of the RCM, two mechanism factors are abstracted, a type synthesis process for the RHPRCM is proposed, a symmetry layout method for the RCM’s revolute axis based on the RHP space polyhedron is proposed, and an analysis method for the intersection of the revolute pair contact surfaces (RPCSs) based on the adjacency matrix is proposed. Taking a revolute axis passing through the center of an RHP and having only one RPCS for each revolute axis as an example, an RHPRCM with different topological structures is synthesized. The relevant research in this paper can provide methodological guidance for the synthesis of other spatial RCMs.

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正六边形棱柱魔方机制的类型合成研究

魔方机制（RCM）是一种可重构机制，具有多配置、可变拓扑、强耦合、可重构等多种特性。RCM 与数学、化学、密码学等学科的交叉研究取得了重要突破和进展。显然，发明创造新的 RCM 可以为加快魔方产品的迭代更新和拓展应用提供重要的思想启迪和理论指导。本文研究了正六棱柱（RHP）RCM（RHPRCM）的类型合成方法。通过分析 RCM 的可重构运动过程，抽象出两个机理因素，提出了 RHPRCM 的类型合成过程，提出了基于 RHP 空间多面体的 RCM 左旋轴对称布局方法，并提出了基于邻接矩阵的左旋对接触面（RPCS）交点分析方法。以通过 RHP 中心的外转轴和每个外转轴只有一个 RPCS 为例，合成了具有不同拓扑结构的 RHPRCM。本文的相关研究可为其他空间 RCM 的合成提供方法指导。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Machines Multiple-

CiteScore

3.00

自引率

26.90%

发文量

1012

审稿时长

11 weeks

期刊介绍： Machines (ISSN 2075-1702) is an international, peer-reviewed journal on machinery and engineering. It publishes research articles, reviews, short communications and letters. Our aim is to encourage scientists to publish their experimental and theoretical results in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided. There are, in addition, unique features of this journal: *manuscripts regarding research proposals and research ideas will be particularly welcomed *electronic files or software regarding the full details of the calculation and experimental procedure - if unable to be published in a normal way - can be deposited as supplementary material Subject Areas: applications of automation, systems and control engineering, electronic engineering, mechanical engineering, computer engineering, mechatronics, robotics, industrial design, human-machine-interfaces, mechanical systems, machines and related components, machine vision, history of technology and industrial revolution, turbo machinery, machine diagnostics and prognostics (condition monitoring), machine design.