• Thumbnail for Parallelepiped
    rhombohedron (six rhombus faces) are all special cases of parallelepiped. "Parallelepiped" is now usually pronounced /ˌpærəˌlɛlɪˈpɪpɪd/ or /ˌpærəˌlɛlɪˈpaɪpɪd/;...
    16 KB (2,331 words) - 00:26, 21 October 2024
  • Thumbnail for Rectangular cuboid
    right angles. This shape is also called rectangular parallelepiped or orthogonal parallelepiped. A rectangular cuboid is a convex polyhedron with six...
    7 KB (701 words) - 00:04, 16 May 2024
  • corresponds to the parallelepiped spanned by a, b, and c, with bivectors a ∧ b, b ∧ c and a ∧ c matching the parallelogram faces of the parallelepiped. The triple...
    18 KB (3,014 words) - 13:38, 4 October 2024
  • Thumbnail for Solid geometry
    of planes and lines dihedral angle and solid angle the cube, cuboid, parallelepiped the tetrahedron and other pyramids prisms octahedron, dodecahedron,...
    9 KB (379 words) - 20:04, 4 November 2024
  • its unit cell, which is a section of the tiling (a parallelogram or parallelepiped) that generates the whole tiling using only translations. There are...
    11 KB (1,109 words) - 10:48, 19 June 2023
  • Thumbnail for Cuboid
    faces meeting at right angles. Along with the rectangular cuboids, parallelepiped is a cuboid with six parallelogram. Rhombohedron is a cuboid with six...
    6 KB (367 words) - 17:34, 11 November 2024
  • Thumbnail for Rhombus
    a three-dimensional figure like a cuboid (also called a rectangular parallelepiped), except that its 3 pairs of parallel faces are up to 3 types of rhombi...
    16 KB (1,719 words) - 14:08, 4 November 2024
  • Thumbnail for Parallelogram
    English. The three-dimensional counterpart of a parallelogram is a parallelepiped. The word "parallelogram" comes from the Greek παραλληλό-γραμμον, parallēló-grammon...
    15 KB (1,996 words) - 03:44, 28 October 2024
  • 652 were edge cuboids, 350,778 were face cuboids. A perfect parallelepiped is a parallelepiped with integer-length edges, face diagonals, and body diagonals...
    17 KB (2,119 words) - 03:30, 9 November 2024
  • Thumbnail for Cube
    It has twelve congruent edges and eight vertices. It is a type of parallelepiped, with pairs of parallel opposite faces, and more specifically a rhombohedron...
    38 KB (4,054 words) - 03:37, 5 November 2024
  • with cube shaped samples. This method, now known as the rectangular parallelepiped resonance (RPR) method, was further extended by I. Ohno in 1976. Finally...
    16 KB (2,284 words) - 09:40, 9 November 2023
  • Thumbnail for Cross product
    \right\|\left|\sin \theta \right|.} Indeed, one can also compute the volume V of a parallelepiped having a, b and c as edges by using a combination of a cross product...
    75 KB (11,475 words) - 10:44, 26 October 2024
  • Thumbnail for Fresnel rhomb
    right parallelepiped, or in other words, a solid with six parallelogram faces (a square is to a cube as a parallelogram is to a parallelepiped). If the...
    38 KB (4,857 words) - 19:28, 22 August 2024
  • n-dimensional dV element is in general a parallelepiped in the new coordinate system, and the n-volume of a parallelepiped is the determinant of its edge vectors...
    26 KB (3,699 words) - 11:26, 3 November 2024
  • Thumbnail for Shear modulus
    of an object shaped like a rectangular prism, it will deform into a parallelepiped. Anisotropic materials such as wood, paper and also essentially all...
    12 KB (1,559 words) - 20:05, 20 August 2024
  • Thumbnail for Crystal structure
    the crystal structure. The geometry of the unit cell is defined as a parallelepiped, providing six lattice parameters taken as the lengths of the cell edges...
    46 KB (5,167 words) - 19:35, 8 November 2024
  • Thumbnail for Skew lines
    Rectangular parallelepiped. The line through segment AD and the line through segment B1B are skew lines because they are not in the same plane....
    11 KB (1,555 words) - 05:59, 15 April 2023
  • Thumbnail for Vector space
    The volume of this parallelepiped is the absolute value of the determinant of the 3-by-3 matrix formed by the vectors r1, r2, and r3....
    87 KB (11,487 words) - 18:57, 28 October 2024
  • eigenvalues. In geometry, the signed n-dimensional volume of a n-dimensional parallelepiped is expressed by a determinant, and the determinant of a linear endomorphism...
    90 KB (14,257 words) - 20:47, 18 October 2024
  • p, if we form a small parallelepiped with sides d u i {\displaystyle \mathrm {d} u_{i}} , then the volume of that parallelepiped is the square root of...
    10 KB (2,011 words) - 09:54, 4 October 2024
  • quadrilaterals) Quadrilateral frustum (apex-truncated square pyramid) Parallelepiped (three pairs of parallelograms) Rhombohedron (three pairs of rhombi)...
    6 KB (464 words) - 00:33, 10 September 2024
  • compute the volume of a parallelepiped, we conclude that the volume of a tetrahedron is equal to ⁠1/6⁠ of the volume of any parallelepiped that shares three...
    75 KB (9,508 words) - 07:13, 11 November 2024
  • Thumbnail for Rhombohedron
    rhombic hexahedron or, inaccurately, a rhomboid) is a special case of a parallelepiped in which all six faces are congruent rhombi. It can be used to define...
    7 KB (800 words) - 07:48, 25 August 2024
  • The interpretations of 3D volumes for left: a parallelepiped (Ω in polar sine definition) and right: a cuboid (Π in definition). The interpretation is...
    8 KB (1,258 words) - 17:56, 24 January 2024
  • Three vectors defining a parallelepiped. The magnitude of the triple product, | a ⋅ ( b × c ) | {\displaystyle |\mathbf {a} \cdot (\mathbf {b} \times \mathbf...
    15 KB (2,829 words) - 16:45, 13 July 2024
  • the determinant of n vectors of length n will give the volume of the parallelepiped determined by those vectors in the n-th dimensional Euclidean space...
    28 KB (4,027 words) - 00:37, 21 September 2024
  • adjective unconstitutional limpiaparabrisas 16 7 noun windshield wiper inexorablemente 15 7 adverb inexorably paralelepípedo 14 7 noun parallelepiped...
    13 KB (599 words) - 18:15, 30 August 2024
  • Thumbnail for History of geometry
    Parallelepiped with two square surfaces Parallelepiped with no square surfaces Pyramid Frustum of pyramid with square base Frustum of pyramid with rectangular...
    48 KB (6,299 words) - 12:51, 29 October 2024
  • Thumbnail for Manichaeism
    the sixth century, many Manichaeans saw "the earth" as "a rectangular parallelepiped enclosed by walls of crystal, above which three [sky] domes" existed...
    135 KB (15,668 words) - 15:48, 10 November 2024
  • Thumbnail for Translational symmetry
    hypervolume of the n-dimensional parallelepiped the set subtends (also called the covolume of the lattice). This parallelepiped is a fundamental region of the...
    7 KB (896 words) - 15:49, 20 August 2024