Expandable polyhedral mechanisms based on polygonal one-degree-of-freedom faces

CM Gosselin… - Proceedings of the …, 2006 - journals.sagepub.com
In this article, a new family of expandable mechanisms is presented. The proposed
mechanisms are expandable polyhedra built using one-degree-of-freedom (one-DOF) …

A class of expandable polyhedral structures

F Kovács, T Tarnai, PW Fowler, SD Guest - International journal of solids …, 2004 - Elsevier
A class of expandable polyhedral structures, the expandohedra, consisting of prismatic
faces linked along edges by hinged plates, provides a model for the swelling of viruses. The …

Deployable polyhedrons with one-DOF radial transformation

Y Gu, Y Chen - arXiv preprint arXiv:2403.03577, 2024 - arxiv.org
Deployable polyhedrons can transform between Platonic and Archimedean polyhedrons to
meet the demands of various engineering applications. However, the existing design …

[PDF][PDF] Mobility and stress analysis of highly symmetric generalized bar-and-joint structures

F Kovács - Journal of Computational and Applied Mechanics, 2004 - real-j.mtak.hu
This paper discusses the possibility of detecting mechanisms with second-order stiffness
(resistance to the excitation of an infinitesimal mechanism) imposed by self-stresses in …

New design methods for polyhedral linkages

G Kiper - 2006 - open.metu.edu.tr
This thesis analyses the existing types of polyhedral linkages and presents new linkage
types for resizing polyhedral shapes. First, the transformation characteristics, most …

[PDF][PDF] Folded Structures

T Tarnai - Symmetry Art Sci, 2002 - researchgate.net
The paper gives an overview of folding and its applications in some fields of natural and
man-made structures, such as symmetric latticed cylinders, braced domes, deployable …

[PDF][PDF] EXPANDABLE POLYHEDRAL VIRUSES–KINEMATICS IN BIOLOGY

F KOVÁCS - Symmetry: Art and Science - researchgate.net
The word “mechanism” is commonly associated with technical sciences. Altogether, there
are some bright examples of them among living organisms such as in certain polyhedral …

[HTML][HTML] PENTAGON PACKING IN A CIRCLE AND ON A SPHERE

T TARNAI - mi.sanu.ac.rs
How must n equal non-overlapping regular spherical pentagons be packed on a sphere so
that the angular radius of the circumcircles of the pentagons will be as great as possible …