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  2. Prism (geometry) - Wikipedia

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

    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}.

  3. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    a polyhedron with six faces ( hexahedron ), each of which is a parallelogram, and. a prism of which the base is a parallelogram. The rectangular cuboid (six rectangular faces), cube (six square faces), and the rhombohedron (six rhombus faces) are all specific cases of parallelepiped. "Parallelepiped" is now usually pronounced ...

  4. Rectangular cuboid - Wikipedia

    en.wikipedia.org/wiki/Rectangular_cuboid

    A rectangular cuboid is a convex polyhedron with six rectangle faces. These are often called "cuboids", without qualifying them as being rectangular, but a cuboid can also refer to a more general class of polyhedra, with six quadrilateral faces. [ 1] The dihedral angles of a rectangular cuboid are all right angles, and its opposite faces are ...

  5. Solid geometry - Wikipedia

    en.wikipedia.org/wiki/Solid_geometry

    Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). [1] A solid figure is the region of 3D space bounded by a two-dimensional surface; for example, a solid ball consists of a sphere and its interior . Solid geometry deals with the measurements of volumes of various solids, including pyramids, prisms ...

  6. Cuboid - Wikipedia

    en.wikipedia.org/wiki/Cuboid

    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.

  7. Wedge (geometry) - Wikipedia

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

    A wedge is a polyhedron of a rectangular base, with the faces are two isosceles triangles and two trapezoids that meet at the top of an edge. [1]. A prismatoid is defined as a polyhedron where its vertices lie on two parallel planes, with its lateral faces are triangles, trapezoids, and parallelograms; [2] the wedge is an example of prismatoid because of its top edge is parallel to the ...

  8. Characteristic length - Wikipedia

    en.wikipedia.org/wiki/Characteristic_length

    In computational mechanics, a characteristic length is defined to force localization of a stress softening constitutive equation. The length is associated with an integration point. For 2D analysis, it is calculated by taking the square root of the area. For 3D analysis, it is calculated by taking the cubic root of the volume associated to the ...

  9. Jacobian matrix and determinant - Wikipedia

    en.wikipedia.org/wiki/Jacobian_matrix_and...

    Since dV = dx dy dz is the volume for a rectangular differential volume element (because the volume of a rectangular prism is the product of its sides), we can interpret dV = ρ 2 sin φ dρ dφ dθ as the volume of the spherical differential volume element. Unlike rectangular differential volume element's volume, this differential volume ...