Educação Superior::Ciências Exatas e da Terra::MatemáticaEnsino Médio::MatemáticaTwo polygons are said to be linked if they share an edge; two polyhedra are linked if they share a face. Regular polygons or polyhedra of the same size are linked sequentially to form chains. A chain may twist and curl back to link to a previous figure, forming a closed loop. Regular polygons and cubes can form loops. Chains of ocatahedra, tetrahedra, dodecahedra, or icosahedra, no matter how long, can never form a closed loo
All Platonic solids can be found in and around the cube. Take every second vertex of the cube and yo...
The tetrahedron is a well-known polyhedron. The tetrahedron can be shown with a set of lines (bars) ...
For most classes of chains, it is known if these contain locks, but especially for fixed-angle equil...
Educação Superior::Ciências Exatas e da Terra::MatemáticaEnsino Médio::MatemáticaTwo polygons are sa...
In this paper we are concerned with motions for untangling polygonal linkages (chains, polygons and ...
In this study, assemblies of Bennett loops constructing regular polygonal linkages and regular polyh...
A polygon is a simple, closed, planar figure with sides formed by joining line segments, where each ...
We extend linkage unfolding results from the well-studied case of polygonal linkages to the more gen...
A polygonal chain is a sequence of consecutively joined edges embedded in space. A k-chain is a chai...
The resolution of a decades-old open problem is described: polygonal chains cannot lock in the plane
We extend linkage unfolding results from the well-studied case of polygonal linkages to the more gen...
In this paper, we study movements of simple polygonal chains in 3D. We say that an open, simple poly...
Article dans revue scientifique avec comité de lecture.International audienceThis paper studies move...
An infinite series of twofold, two-way weavings of the cube, corresponding to 'wrappings', or double...
His interest in geometric forms having developed during his training in the plastic arts, the author...
All Platonic solids can be found in and around the cube. Take every second vertex of the cube and yo...
The tetrahedron is a well-known polyhedron. The tetrahedron can be shown with a set of lines (bars) ...
For most classes of chains, it is known if these contain locks, but especially for fixed-angle equil...
Educação Superior::Ciências Exatas e da Terra::MatemáticaEnsino Médio::MatemáticaTwo polygons are sa...
In this paper we are concerned with motions for untangling polygonal linkages (chains, polygons and ...
In this study, assemblies of Bennett loops constructing regular polygonal linkages and regular polyh...
A polygon is a simple, closed, planar figure with sides formed by joining line segments, where each ...
We extend linkage unfolding results from the well-studied case of polygonal linkages to the more gen...
A polygonal chain is a sequence of consecutively joined edges embedded in space. A k-chain is a chai...
The resolution of a decades-old open problem is described: polygonal chains cannot lock in the plane
We extend linkage unfolding results from the well-studied case of polygonal linkages to the more gen...
In this paper, we study movements of simple polygonal chains in 3D. We say that an open, simple poly...
Article dans revue scientifique avec comité de lecture.International audienceThis paper studies move...
An infinite series of twofold, two-way weavings of the cube, corresponding to 'wrappings', or double...
His interest in geometric forms having developed during his training in the plastic arts, the author...
All Platonic solids can be found in and around the cube. Take every second vertex of the cube and yo...
The tetrahedron is a well-known polyhedron. The tetrahedron can be shown with a set of lines (bars) ...
For most classes of chains, it is known if these contain locks, but especially for fixed-angle equil...