rhombohedron (six rhombus faces) are all special cases of parallelepiped. "Parallelepiped" is now usually pronounced /ˌpærəˌlɛlɪˈpɪpɪd/ or /ˌpærəˌlɛlɪˈpaɪpɪd/;...
16 KB (2,331 words) - 10:37, 15 April 2025
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) - 07:37, 8 March 2025
Rectangular cuboid (redirect from Rectangular parallelepiped)
right angles. This shape is also called rectangular parallelepiped or orthogonal parallelepiped. Many writers just call these "cuboids", without qualifying...
8 KB (760 words) - 03:37, 19 March 2025
of planes and lines dihedral angle and solid angle the cube, cuboid, parallelepiped the tetrahedron and other pyramids prisms octahedron, dodecahedron,...
9 KB (387 words) - 17:15, 10 April 2025
faces meeting at right angles. Along with the rectangular cuboids, parallelepiped is a cuboid with six parallelogram faces. Rhombohedron is a cuboid with...
6 KB (350 words) - 09:49, 10 May 2025
Euler brick (section Perfect parallelepiped)
652 were edge cuboids, 350,778 were face cuboids. A perfect parallelepiped is a parallelepiped with integer-length edges, face diagonals, and body diagonals...
18 KB (2,171 words) - 19:21, 28 May 2025
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...
21 KB (3,553 words) - 15:17, 13 June 2025
Parallelogram (section Faces of a parallelepiped)
English. The three-dimensional counterpart of a parallelogram is a parallelepiped. The word "parallelogram" comes from the Greek παραλληλό-γραμμον, parallēló-grammon...
15 KB (2,005 words) - 01:32, 13 June 2025
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...
15 KB (1,694 words) - 00:10, 18 May 2025
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) - 10:05, 9 January 2025
Euler–Fokker genus {3, 3, 7} as rectangular parallelepiped...
6 KB (531 words) - 01:01, 28 April 2024
with 45–55% water. It has no rind, and is presented in vacuum-sealed parallelepiped packages. Argentina portal Food portal List of cheeses Cremoso. Fact...
2 KB (139 words) - 04:26, 5 January 2024
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) - 22:17, 16 December 2024
(Classical Latin: [miːllɪˈaːrɪ.ũː ˈau̯rɛ.ũː]) was a cylindrical, oval or parallelepiped column placed on the edge of Roman roads to mark the distances every...
6 KB (728 words) - 14:05, 1 June 2025
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...
62 KB (6,349 words) - 01:53, 10 June 2025
Fresnel rhomb (section Stage 2: Parallelepiped (1818))
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 (4,858 words) - 01:20, 24 December 2024
gallium arsenide wafers with index grading. "Unit cell definition using parallelepiped with lengths a, b, c and angles between the sides given by α, β, γ"...
16 KB (1,177 words) - 00:47, 7 March 2025
or parallelepiped; because these shapes have 2n vertices, 2n smaller copies are necessary. This number is also sufficient: a cube or parallelepiped may...
8 KB (1,089 words) - 17:19, 15 April 2025
parallel, but not equivalent in length (formally known as a rectangular parallelepiped) with all points of order two being labelled as follows: { A 1 B 1 C...
6 KB (1,054 words) - 09:28, 31 May 2025
\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 (11,568 words) - 14:01, 8 May 2025
tetrahedra can be inscribed in a parallelepiped. A tetrahedron is orthocentric if and only if its circumscribed parallelepiped is a rhombohedron. Indeed, in...
4 KB (498 words) - 04:17, 21 October 2024
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) - 18:29, 23 May 2025
trapezoids, and in solid geometry to cylinders, cones, pyramids, parallelepipeds, prisms, and frustums. The side or point opposite the base is often...
4 KB (506 words) - 12:21, 24 January 2024
parallel to the faces of the parallelepiped. The three planes partition the parallelepiped into eight smaller parallelepipeds; two of those surround the...
8 KB (1,038 words) - 17:47, 31 March 2025
product of the lengths of the basis vectors with the volume of the parallelepiped they define. For perfectly orthogonal basis vectors, these quantities...
8 KB (922 words) - 07:52, 3 March 2025
the u i {\displaystyle u_{i}} -parallelepiped must equal the k-volume of the w i {\displaystyle w_{i}} -parallelepiped, and w 1 , … , w k , u 1 , … ,...
40 KB (6,501 words) - 16:28, 3 June 2025
space diagonals, while a cube (shown at right) or more generally a parallelepiped has four space diagonals. An axial diagonal is a space diagonal that...
3 KB (399 words) - 15:38, 21 April 2025
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...
91 KB (14,395 words) - 21:11, 31 May 2025
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 (11,491 words) - 02:01, 5 June 2025
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 (3,766 words) - 19:10, 22 May 2025