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
Rectangular cuboid (redirect from Rectangular parallelepiped)
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
of planes and lines dihedral angle and solid angle the cube, cuboid, parallelepiped the tetrahedron and other pyramids prisms octahedron, dodecahedron,...
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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
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
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
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 (1,996 words) - 03:44, 28 October 2024
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...
17 KB (2,119 words) - 03:30, 9 November 2024
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
\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
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 (4,857 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
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
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
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
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
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
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
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
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