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The 4-volume or hypervolume in 4D can be calculated in closed form for simple geometrical figures, such as the tesseract (s 4, for side length s) and the 4-ball (/ for radius r). Reasoning by analogy from familiar lower dimensions can be an excellent intuitive guide, but care must be exercised not to accept results that are not more rigorously ...
In geometric topology, the theory of manifolds is characterized by the way dimensions 1 and 2 are relatively elementary, the high-dimensional cases n > 4 are simplified by having extra space in which to "work"; and the cases n = 3 and 4 are in some senses the most difficult.
Die-cast aircraft. A scale used for high-end model aircraft and very detailed paper and plastic model ships. 9 mm figure scale. Many airlines distribute models in this scale for free as a means of advertising. Aeroplane model brands in this scale include Flight Miniatures, JC Wings 200, Wings of Glory, and others.
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Aside from the Orthographic, six standard principal views (Front; Right Side; Left Side; Top; Bottom; Rear), descriptive geometry strives to yield four basic solution views: the true length of a line (i.e., full size, not foreshortened), the point view (end view) of a line, the true shape of a plane (i.e., full size to scale, or not ...
It is also called a plan which is a measured plane typically projected at the floor height of 4 ft (1.2 m), as opposed to an elevation which is a measured plane projected from the side of a building, along its height, or a section or cross section where a building is cut along an axis to reveal the interior structure.
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For example, 1:48 scale is 1/4" to 1-foot (or 1" to 4 feet) and 1:72 is 1" to 6 feet, while in metric scales such as 1:100th, 1 centimeter equals 1 meter. 1:72 scale was introduced with Skybirds wood and metal model aircraft kits in 1932 and were followed closely by Frog, which used the same scale from 1936 with their "Frog Penguin" brand. 1:72 ...