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  2. List of uniform polyhedra - Wikipedia

    en.wikipedia.org/wiki/List_of_uniform_polyhedra

    40 potential uniform polyhedra with degenerate vertex figures which have overlapping edges (not counted by Coxeter ); The uniform tilings (infinite polyhedra) 11 Euclidean convex uniform tilings; 28 Euclidean nonconvex or apeirogonal uniform tilings; Infinite number of uniform tilings in hyperbolic plane. Any polygons or 4-polytopes.

  3. Face - Wikipedia

    en.wikipedia.org/wiki/Face

    The distinctive human nose shape, nostrils, and nasal septum. The cheeks, covering the maxilla and mandible (or jaw), the extremity of which is the chin. The mouth, with the upper lip divided by the philtrum, sometimes revealing the teeth. Facial appearance is vital for human recognition and communication.

  4. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    A toroidal polyhedron. In geometry, a polyhedron ( pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices . A convex polyhedron is a polyhedron that bounds a convex set.

  5. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    5D with 4D surfaces. regular 5-polytope. 5-dimensional cross-polytope. 5-dimensional hypercube. 5-dimensional simplex. Five-dimensional space, 5-polytope and uniform 5-polytope. 5-simplex, Rectified 5-simplex, Truncated 5-simplex, Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex.

  6. Face (geometry) - Wikipedia

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

    In elementary geometry, a face is a polygon [note 1] on the boundary of a polyhedron. [2] [3] Other names for a polygonal face include polyhedron side and Euclidean plane tile . For example, any of the six squares that bound a cube is a face of the cube. Sometimes "face" is also used to refer to the 2-dimensional features of a 4-polytope.

  7. Human head - Wikipedia

    en.wikipedia.org/wiki/Human_head

    For humans, the front of the head (the face) is the main distinguishing feature between different people due to its easily discernible features, such as eye and hair colors, shapes of the sensory organs, and the wrinkles. Humans easily differentiate between faces because of the brain's predisposition toward facial recognition.

  8. Octahedron - Wikipedia

    en.wikipedia.org/wiki/Octahedron

    In geometry, an octahedron ( pl.: octahedra or octahedrons) is a polyhedron with eight faces. An octahedron can be considered as a square bipyramid. When the edges of a square bipyramid are all equal in length, it produces a regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

  9. Cuboid - Wikipedia

    en.wikipedia.org/wiki/Cuboid

    Description. A cuboid is a hexahedron with quadrilateral faces, meaning it is a polyhedron with six faces. It has eight vertices and twelve edges. Etymologically, "cuboid" means "like a cube ", in the sense of a convex solid which can be transformed into a cube by adjusting the lengths of its edges and the angles between its adjacent faces.