In geometry, a flexible polyhedron is a polyhedral surface without any boundary edges, whose shape can be continuously changed while keeping the shapes...

In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-)  'many' and ἕδρον (-hedron)  'base, seat') is a three-dimensional figure...

polyhedron, after Steffen's polyhedron.p.16 If three tetrahedra are joined at two separate opposing edges and made into a single flexible polyhedron,...

polymer Flexible algebra, in non-associative algebras, for example alternative algebras Flexible polyhedron Flexible single master operation "Flexible", a...

In geometry, Steffen's polyhedron is a flexible polyhedron discovered (in 1978) by and named after Klaus Steffen [de]. It is based on the Bricard octahedron...

a member of a family of flexible polyhedra constructed by Raoul Bricard in 1897. The overall shape of one of these polyhedron may change in a continuous...

invariant is zero. The Dehn invariant of a self-intersection-free flexible polyhedron is invariant as it flexes. Dehn invariants are also an invariant...

is a "shaky polyhedron", meaning that (like a flexible polyhedron) it is not infinitesimally rigid. Outlining the edges of this polyhedron with struts...

In geometry, an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid...

three-dimensional convex polyhedron constructed with rigid plates for its faces, connected by hinges along its edges, forms a rigid structure. Flexible polyhedra, non-convex...

flexible in the case of a quadrilateral base, which was later known as Kokotsakis mesh. More examples of this special case of a Kokotsakis polyhedron...

Bicupola Cupola Bifrustum Boerdijk–Coxeter helix Császár polyhedron Flexible polyhedron Goldberg polyhedron Gyroelongated square bipyramid Heronian tetrahedron...

Apeirohedron Bicupola Cupola Bifrustum Boerdijk–Coxeter helix Császár polyhedron Flexible polyhedron Gyroelongated square dipyramid Heronian tetrahedron Hexagonal...

triangular prism. Császár polyhedron – Toroidal polyhedron with 14 triangle faces Steffen's polyhedron – Flexible polyhedron with 14 triangle faces Sloane...

origami cannot be folded flat rigidly. The Bellows theorem says that a flexible polyhedron has constant volume when flexed rigidly. The napkin folding problem...

between the vertex and the center. One form of a non-uniform but flexible polyhedron, the Bricard octahedron, can be constructed as a bipyramid over an...

A kaleidocycle or flextangle is a flexible polyhedron connecting six tetrahedra (or disphenoids) on opposite edges into a cycle. If the faces of the disphenoids...

down a valley to a local bottom. This method is also known as the flexible polyhedron method. This, however, tends to perform poorly against the method...

Johnson–Zalgaller solid, is a convex polyhedron whose faces are regular polygons. They are sometimes defined to exclude the uniform polyhedrons. There are ninety-two...

mathematician Moira Chas. Assembly map Double bubble conjecture Flexible polyhedron Formal manifold Loch Ness monster surface Normal invariant Ring lemma...

In geometry, a Schönhardt polyhedron is a polyhedron with the same combinatorial structure as a regular octahedron, but with dihedral angles that are non-convex...

model of a convex polyhedron by connecting together rigid plates for each of the polyhedron faces with flexible hinges along the polyhedron edges, then this...

Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified...

Kh (1995-04-30). "On the problem of invariance of the volume of a flexible polyhedron". Russian Mathematical Surveys. 50 (2): 451–452. Bibcode:1995RuMaS...

A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting...

The regular icosahedron (or simply icosahedron) is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two pentagonal pyramids...

Connelly School of the Holy Child, Potomac, Maryland Connelly sphere, a flexible polyhedron in geometry Connellys Springs, North Carolina, a town in Burke County...

hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The rigid triangular elements of the dome distribute stress throughout...

Császár polyhedron – A nonconvex tetradecahedron of all triangle faces Steffen's polyhedron – A flexible tetradecahedron Permutohedron – A polyhedron that...

general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on in higher dimensions (such as a 4-polytope...