• Thumbnail for Flexible polyhedron
    In geometry, a flexible polyhedron is a polyhedral surface without any boundary edges, whose shape can be continuously changed while keeping the shapes...
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  • Thumbnail for Polyhedron
    In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-)  'many' and ἕδρον (-hedron)  'base, seat') is a three-dimensional figure...
    91 KB (10,118 words) - 14:29, 4 November 2024
  • polymer Flexible algebra, in non-associative algebras, for example alternative algebras Flexible polyhedron Flexible single master operation "Flexible", a...
    1 KB (149 words) - 07:41, 18 June 2021
  • polyhedron, after Steffen's polyhedron.p.16 If three tetrahedra are joined at two separate opposing edges and made into a single flexible polyhedron,...
    19 KB (2,063 words) - 09:18, 29 October 2024
  • Thumbnail for Steffen's polyhedron
    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...
    3 KB (311 words) - 07:12, 22 October 2024
  • Thumbnail for 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...
    11 KB (1,236 words) - 17:15, 22 October 2024
  • Thumbnail for Jessen's icosahedron
    is a "shaky polyhedron", meaning that (like a flexible polyhedron) it is not infinitesimally rigid. Outlining the edges of this polyhedron with struts...
    17 KB (1,648 words) - 02:51, 9 October 2024
  • peak or (n−3)-face of the polyhedron Edge the ridge or (n−2)-face of the polyhedron Face the facet or (n−1)-face of the polyhedron Vertex the (n−4)-face of...
    30 KB (2,685 words) - 07:39, 28 July 2024
  • invariant is zero. The Dehn invariant of a self-intersection-free flexible polyhedron is invariant as it flexes. Dehn invariants are also an invariant...
    40 KB (5,770 words) - 21:54, 21 August 2024
  • In geometry, an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid...
    36 KB (3,630 words) - 05:23, 21 October 2024
  • Apeirohedron Bicupola Cupola Bifrustum Boerdijk–Coxeter helix Császár polyhedron Flexible polyhedron Gyroelongated square dipyramid Heronian tetrahedron Hexagonal...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • Thumbnail for Nelder–Mead method
    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...
    17 KB (2,379 words) - 07:16, 19 October 2024
  • Thumbnail for Schönhardt polyhedron
    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...
    16 KB (1,709 words) - 14:58, 18 August 2024
  • Thumbnail for Kaleidocycle
    Kaleidocycle (category Polyhedron stubs)
    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...
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  • is a strictly convex polyhedron whose faces are regular polygons. They are sometimes defined to exclude the uniform polyhedrons. There are ninety-two...
    19 KB (1,833 words) - 08:00, 15 October 2024
  • Thumbnail for Structural rigidity
    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...
    9 KB (1,073 words) - 17:49, 17 May 2024
  • 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...
    6 KB (768 words) - 08:09, 9 May 2024
  • Thumbnail for Triaugmented triangular prism
    Triaugmented triangular prism (category Composite polyhedron)
    triangular prism. Császár polyhedron – Toroidal polyhedron with 14 triangle faces Steffen's polyhedron – Flexible polyhedron with 14 triangle faces Sloane...
    19 KB (2,047 words) - 06:16, 26 September 2024
  • Thumbnail for Antiparallelogram
    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...
    17 KB (1,826 words) - 01:42, 6 June 2024
  • Thumbnail for Dennis Sullivan
    mathematician Moira Chas. Assembly map Double bubble conjecture Flexible polyhedron Formal manifold Loch Ness monster surface Normal invariant Ring lemma...
    23 KB (1,897 words) - 01:55, 14 September 2024
  • Connelly School of the Holy Child, Potomac, Maryland Connelly sphere, a flexible polyhedron in geometry Connellys Springs, North Carolina, a town in Burke County...
    869 bytes (132 words) - 06:45, 22 June 2021
  • origami cannot be folded flat rigidly. The Bellows theorem says that a flexible polyhedron has constant volume when flexed rigidly. The napkin folding problem...
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  • Thumbnail for Cuboctahedron
    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...
    19 KB (1,938 words) - 01:53, 9 October 2024
  • Thumbnail for Conway polyhedron notation
    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...
    46 KB (2,672 words) - 00:45, 19 March 2024
  • Thumbnail for Tetradecahedron
    Császár polyhedron – A nonconvex tetradecahedron of all triangle faces Steffen's polyhedron – A flexible tetradecahedron Permutohedron – A polyhedron that...
    6 KB (591 words) - 01:26, 6 August 2024
  • self-supporting, easy-to-use, yet flexible game system that you can twist and mold, tour the land of Hahl." Polyhedron (Issue 81 - Vol. 14, No. 3) Shadis...
    2 KB (258 words) - 21:49, 1 November 2024
  • Thumbnail for Geometric rigidity
    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...
    35 KB (5,449 words) - 13:05, 5 September 2023
  • Thumbnail for Geodesic dome
    hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The rigid triangular elements of the dome distribute stress throughout...
    26 KB (3,388 words) - 01:26, 24 August 2024
  • quantities e-folding, exponential growth or decay Polygon folding, or polyhedron folding Amicus Therapeutics, NASDAQ stock trading symbol FOLD Book folding...
    3 KB (444 words) - 21:15, 7 July 2024
  • Thumbnail for Discrete geometry
    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...
    15 KB (1,575 words) - 05:36, 16 October 2024