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  2. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    The parallelepiped with D 4h symmetry is known as a square cuboid, which has two square faces and four congruent rectangular faces. The parallelepiped with D 3d symmetry is known as a trigonal trapezohedron, which has six congruent rhombic faces (also called an isohedral rhombohedron). For parallelepipeds with D 2h symmetry, there are two cases:

  3. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    In Euclidean plane geometry, a rectangle is a rectilinear convex polygon or a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

  4. Three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Three-dimensional_space

    A sphere in 3-space (also called a 2-sphere because it is a 2-dimensional object) consists of the set of all points in 3-space at a fixed distance r from a central point P. The solid enclosed by the sphere is called a ball (or, more precisely a 3-ball). The volume of the ball is given by

  5. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    Any parallelogram that is neither a rectangle nor a rhombus was traditionally called a rhomboid but this term is not used in modern mathematics. [1] SquareA parallelogram with four sides of equal length and angles of equal size (right angles).

  6. Matrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(mathematics)

    A square matrix is a matrix with the same number of rows and columns. [5] An n-by-n matrix is known as a square matrix of order n. Any two square matrices of the same order can be added and multiplied. The entries a ii form the main diagonal of a square matrix. They lie on the imaginary line that runs from the top left corner to the bottom ...

  7. Rectangular cuboid - Wikipedia

    en.wikipedia.org/wiki/Rectangular_cuboid

    A rectangular cuboid is a convex polyhedron with six rectangle faces. The dihedral angles of a rectangular cuboid are all right angles, and its opposite faces are congruent. [2] Because of the faces' orthogonality, the rectangular cuboid is classified as convex orthogonal polyhedron. [3] By definition, this makes it a right rectangular prism.

  8. Solid geometry - Wikipedia

    en.wikipedia.org/wiki/Solid_geometry

    A solid figure is the region of 3D space bounded by a two-dimensional closed 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 (and other polyhedrons ), cubes , cylinders , cones (and truncated cones ).

  9. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    Splitting the thin parallelogram area (yellow) into little parts, and building a single unit square with them. The key to the puzzle is the fact that neither of the 13×5 "triangles" is truly a triangle, nor would either truly be 13x5 if it were, because what appears to be the hypotenuse is bent.