Cuboid in the context of Truncation (geometry)


Cuboid in the context of Truncation (geometry)

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⭐ Core Definition: Cuboid

In geometry, a cuboid is a hexahedron with quadrilateral faces, meaning it is a polyhedron with six faces; it has eight vertices and twelve edges. A rectangular cuboid (sometimes also called a "cuboid") has all right angles and equal opposite rectangular faces. 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). A cuboid is a convex polyhedron whose polyhedral graph is the same as that of a cube.

General cuboids have many different types. When all of the rectangular cuboid's edges are equal in length, it results in a cube, with six square faces and adjacent faces meeting at right angles. Along with the rectangular cuboids, parallelepiped is a cuboid with six parallelogram faces. Rhombohedron is a cuboid with six rhombus faces. A square frustum is a frustum with a square base, but the rest of its faces are quadrilaterals; the square frustum is formed by truncating the apex of a square pyramid.In attempting to classify cuboids by their symmetries, Robertson (1983) found that there were at least 22 different cases, "of which only about half are familiar in the shapes of everyday objects".

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Cuboid in the context of Height

Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position (how "high" a point is). For an example of vertical extent, "This basketball player is 7 foot 1 inches in height." For an example of vertical position, "The height of an airplane in-flight is about 10,000 meters."

When the term is used to describe vertical position (of, e.g., an airplane) from sea level, height is more often called altitude.Furthermore, if the point is attached to the Earth (e.g., a mountain peak), then altitude (height above sea level) is called elevation.

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Cuboid in the context of Diagonal

In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal. The word diagonal derives from the ancient Greek διαγώνιος diagonios, "from corner to corner" (from διά- dia-, "through", "across" and γωνία gonia, "corner", related to gony "knee"); it was used by both Strabo and Euclid to refer to a line connecting two vertices of a rhombus or cuboid, and later adopted into Latin as diagonus ("slanting line").

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Cuboid in the context of Body height (typography)

In typography, the body height or point size refers to the height of the space in which a glyph is defined.

Originally, in metal typesetting, the body height or the font (or point) size was defined by the height of the lead cuboid (metal sort) on which the actual font face is moulded. The body height of a metal sort defined the point size, and was usually slightly larger than the distance between the ascender and descender to allow additional space between the lines of text. More space might be achieved by inserting thin long pieces of lead between the lines of text (that is leading).

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Cuboid in the context of Flower brick

A flower brick is a type of vase, cuboid-shaped like a building brick, and designed to be seen with the long face towards the viewer.

Traditional flower bricks are made of a ceramic material, usually delftware or other tin-glazed earthenware. The top surface has a large hole into which water is poured, and a number of smaller holes into which flower stems are inserted, so that the flowers are kept in position. These vessels are a sub-type of the boughpot or tulipiere, which have more rounded shapes. Flower bricks are thought to have been the most common vessel for flowers besides vases in the 18th century.

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Cuboid in the context of Box truck

A box truck, or box van, is a chassis cab truck with an enclosed cuboid-shaped cargo area. On most box trucks, the cabin is separate to the cargo area; however some box trucks have a door between the cabin and the cargo area. Regular cab box trucks are generally larger than cargo vans but smaller than day cab tractor-trailers with movable trailers. Crew cab box trucks tend to be larger than crew vans but smaller than crew cab tractor-trailers with movable trailers.

The difference between a box truck and a van is that the cargo van is a one-piece (unibody), while a box truck is created by adding a cargo box to a chassis cab.

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Cuboid in the context of Face diagonal

In geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a space diagonal passing through the interior of the polyhedron.

A cuboid has twelve face diagonals (two on each of the six faces), and it has four space diagonals. The cuboid's face diagonals can have up to three different lengths, since the faces come in congruent pairs and the two diagonals on any face are equal. The cuboid's space diagonals all have the same length. If the edge lengths of a cuboid are a, b, and c, then the distinct rectangular faces have edges (a, b), (a, c), and (b, c); so the respective face diagonals have lengths and

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Cuboid in the context of Massing

Massing is the architectural term for general shape, form and size of a structure.

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Cuboid in the context of Rectangular cuboid

A rectangular cuboid is a special case of a cuboid with rectangular faces in which all of its dihedral angles are right angles. This shape is also called rectangular parallelepiped or orthogonal parallelepiped.

Many writers just call these "cuboids", without qualifying them as being rectangular, but others use cuboid to refer to a more general class of polyhedra with six quadrilateral faces.

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Cuboid in the context of Safe

A safe (also called a strongbox or coffer) is a secure lockable enclosure used for securing valuable objects against theft or fire. A safe is usually a hollow cuboid or cylinder, with one face being removable or hinged to form a door. The body and door may be cast from metal (such as steel) or formed out of plastic through blow molding. Bank teller safes typically are secured to the counter, have a slit opening for dropping valuables into the safe without opening it, and a time-delay combination lock to foil thieves. One significant distinction between types of safes is whether the safe is secured to a wall or structure or if it can be moved around.

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