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Rectangle 3d shape9/11/2023 As different authors use "cuboid" to mean slightly different things, and as each of those things has other names as well, the best advice I can give is the following: A good rule-of-thumb is that the consistency of a term's use is proportional to its frequency-that is, terms which are used more often are more likely to be used consistently. The word "cuboid" is not consistently defined across all of mathematics-indeed, there are a lot of terms in mathematics which are not consistently defined. If I need a way to unequivocally refer to the shape in question, do I really have to say "right cuboid" or "rectangular cuboid" every time? Or is the Wikipedia article wrong and simply reflecting some specific unconventional view of one geometer in 1933? The wikipedia page cites Polytopes and symmetry by Robertson, Stewart Alexander for this fact, even thought it contradicts many other geometry textbooks. While mathematical literature refers to any such polyhedron as a cuboid, 1 other sources use "cuboid" to refer to a shape of this type in which each of the faces is a rectangle However the wikipedia article on cuboid goes out of its way to distinguish cuboid as being actually a hypernym of the target shape I describe:Ī cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube. Many sources including most dictionaries and geometry textbooks do list cuboid as the name. However, when looking up the name of this shape, I get confusing results. I am talking about the 3d shape with 6 rectangular faces shown below. I have always thought the best name of the 3d equivalent of a rectangle was "cuboid".
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