enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. List of two-dimensional geometric shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_two-dimensional...

    This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.

  3. List of regular polytopes - Wikipedia

    en.wikipedia.org/wiki/List_of_regular_polytopes

    12 3-dimensional "pure" apeirohedra based on the structure of the cubic honeycomb, {4,3,4}. [22] A π petrie dual operator replaces faces with petrie polygons; δ is a dual operator reverses vertices and faces; φ k is a kth facetting operator; η is a halving operator, and σ skewing halving operator.

  4. Apeirogon - Wikipedia

    en.wikipedia.org/wiki/Apeirogon

    Given a point A 0 in a Euclidean space and a translation S, define the point A i to be the point obtained from i applications of the translation S to A 0, so A i = S i (A 0).The set of vertices A i with i any integer, together with edges connecting adjacent vertices, is a sequence of equal-length segments of a line, and is called the regular apeirogon as defined by H. S. M. Coxeter.

  5. Face (geometry) - Wikipedia

    en.wikipedia.org/wiki/Face_(geometry)

    For example, a cube has six faces in this sense. In more modern treatments of the geometry of polyhedra and higher-dimensional polytopes, a "face" is defined in such a way that it may have any dimension. The vertices, edges, and (2-dimensional) faces of a polyhedron are all faces in this more general sense. [1]

  6. Regular polytope - Wikipedia

    en.wikipedia.org/wiki/Regular_polytope

    In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.In particular, all its elements or j-faces (for all 0 ≤ j ≤ n, where n is the dimension of the polytope) — cells, faces and so on — are also transitive on the symmetries of the polytope, and are themselves regular polytopes of dimension j≤ n.

  7. Types of mesh - Wikipedia

    en.wikipedia.org/wiki/Types_of_mesh

    Basic three-dimensional cell shapes. The basic 3-dimensional element are the tetrahedron, quadrilateral pyramid, triangular prism, and hexahedron. They all have triangular and quadrilateral faces. Extruded 2-dimensional models may be represented entirely by the prisms and hexahedra as extruded triangles and quadrilaterals.

  8. Regular skew apeirohedron - Wikipedia

    en.wikipedia.org/wiki/Regular_skew_apeirohedron

    In 1926 John Flinders Petrie took the concept of a regular skew polygons, polygons whose vertices are not all in the same plane, and extended it to polyhedra.While apeirohedra are typically required to tile the 2-dimensional plane, Petrie considered cases where the faces were still convex but were not required to lie flat in the plane, they could have a skew polygon vertex figure.

  9. Dual polyhedron - Wikipedia

    en.wikipedia.org/wiki/Dual_polyhedron

    The dual of a cube is an octahedron.Vertices of one correspond to faces of the other, and edges correspond to each other. In geometry, every polyhedron is associated with a second dual structure, where the vertices of one correspond to the faces of the other, and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other. [1]