Some Mathematical Problems Related to the Rubik’s Snake-Reference-Cited by-同舟云学术

Some Mathematical Problems Related to the Rubik’s Snake

Published:2020-10-07 Issue:1 Volume:13 Page:
ISSN:1942-4302
Container-title:Journal of Mechanisms and Robotics
language:en
Short-container-title:

Author:

Hou Songming¹,Chen Yu²,Li Zilong³

Affiliation:

1. Program of Mathematics and Statistics and Center, of Applied Physics, Louisiana Tech University, Ruston, LA 71272

2. Program of Mathematics and Statistics, Louisiana Tech University, Ruston, LA 71272

3. Program of Mathematics and Statistics, Louisiana Tech University, Ruston, LA, 71272

Abstract

Abstract We proved several theorems about the Rubik’s snake toy, which has a chain-like structure with applications in robot design. These mathematical theories can guide people to design beautiful shapes using the Rubik’s snake. We presented an example for shape design to demonstrate the effectiveness of our approach.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/mechanismsrobotics/article-pdf/doi/10.1115/1.4048261/6611444/jmr_13_1_014502.pdf

Reference17 articles.

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2. Groups Acting on Cubes and Kazhdan’s Property (t);Niblo;Proc. Am. Math. Soc.,1998

3. Configuration Transformation Theory From a Chain-type Reconfigurable Modular Mechanism-rubik’s Snake;Ding,2011

4. Fundamental Reconfiguration Theory of Chain-Type Modular Reconfigurable Mechanisms;Ding;Mech. Mach. Theory.,2013

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