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  2. Wigner–Seitz cell - Wikipedia

    en.wikipedia.org/wiki/Wigner–Seitz_cell

    For example, the rectangular cuboid, right square prism, and cube belong to the same topological class, but are distinguished by different ratios of their sides. This classification of the 24 types of voronoi polyhedra for Bravais lattices was first laid out by Boris Delaunay .

  3. Rectangular cuboid - Wikipedia

    en.wikipedia.org/wiki/Rectangular_cuboid

    If two opposite faces become squares, the resulting one may obtain another special case of rectangular prism, known as square rectangular cuboid. [b] They can be represented as the prism graph. [3] [c] In the case that all six faces are squares, the result is a cube. [4]

  4. Prism (geometry) - Wikipedia

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

    Right Prism. A right prism is a prism in which the joining edges and faces are perpendicular to the base faces. [5] This applies if and only if all the joining faces are rectangular. The dual of a right n-prism is a right n-bipyramid. A right prism (with rectangular sides) with regular n-gon bases has Schläfli symbol { }×{n}.

  5. Uniform polyhedron - Wikipedia

    en.wikipedia.org/wiki/Uniform_polyhedron

    Coxeter, Longuet-Higgins & Miller (1954) define uniform polyhedra to be vertex-transitive polyhedra with regular faces. They define a polyhedron to be a finite set of polygons such that each side of a polygon is a side of just one other polygon, such that no non-empty proper subset of the polygons has the same property.

  6. Frustum - Wikipedia

    en.wikipedia.org/wiki/Frustum

    The formula for the volume of a pyramidal square frustum was introduced by the ancient Egyptian mathematics in what is called the Moscow Mathematical Papyrus, written in the 13th dynasty (c. 1850 BC): = (+ +), where a and b are the base and top side lengths, and h is the height.

  7. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    Right rhombic prism: it has two rhombic faces and four congruent rectangular faces. Note: the fully rhombic special case, with two rhombic faces and four congruent square faces ( a = b = c ) {\displaystyle (a=b=c)} , has the same name, and the same symmetry group (D 2h , order 8).