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417:... in saying that according to the definitions given on the main page, a square cuboid is not a special case of a rectangular cuboid since the former may have 4 faces which are not rectangles, whereas the latter has all faces rectangles ? If so, is this definition of a square cuboid intended, or should a square cuboid be defined as a cuboid in which all faces are rectangles and at least 2 are squares - i.e. a rectangular cuboid of which at least 2 faces are squares ?
22:
300:, and inspected by non-technical users who want to know if we're ruling out a 10-faced box (its interior is the union of two truncated square pyramids) that might have a fast-food burger in it, or a cylindrical one with 3 pounds of Quaker-brand oatmeal. To see that this is not hypothetical, sample the articles that
853:
From skimming around, the name "hexahedron" seems to usually refer to the quadrilateral-faced topological cube rather than other 6-faced polyhedra, and seems much much more common for this than "cuboid". Apparently in finite element literature it's called a "brick". Edit: after more skimming, I would
623:
Please provide evidence that this phrase is actually in common usage. I can only find a handful of hits for it in Google
Scholar, several of which immediately clarify what they mean by writing "quadrilaterally-faced hexahedron (cuboid)". The fact that this name is also used for a different meaning is
601:
The article you reference doi:10.1007/BF03026511 could be introducing its own local definition for its own purpose, "Suppose that we call a polyhedron a cuboid iff it is combinatorially equivalent to a cube." That, to me, seems to fall short of being a claim that this is what is generally accepted to
566:
Everywhere I look, including the sources and references on this article say a cuboid is rectangular. Its faces are rectangles (more specific than merely 'quadrilaterals' as stated). And therefore NO, a rectangular cuboid is not a special case of cuboid -- a cuboid is ALREADY rectangular, and then NO
541:
A closed box composed of three pairs of rectangular faces placed opposite each other and joined at right angles to each other, also known as a rectangular parallelepiped. The cuboid is also a right prism, a special case of the parallelepiped, and corresponds to what in everyday parlance is known as a
346:
It needs some justification of the logic of "shortest": what assumption is involved as to, e.g., ratio between time do multiplications and addtiongs, and what is the domain where that matters? This isn't an optimum-computation manual, and the effort of remembering a less intuitive formula is unlikely
747:
The article for rectangular cuboid says "These are often called "cuboids", without qualifying them as being rectangular, but a cuboid can also refer to a more general class of polyhedra, with six quadrilateral faces" -- that's a really weak statement; that fails to reflect that MOST sources actually
279:
I took higher level math, and I check it on the
Mathworld website.... The statement about "rectangular parallelepiped " is correct, I should be added. The current description is too "dumbed down". A Cubiod is rather technical in and of its self, therefore having the discription equally technical is
582:
So what other word do you use for the actual topic of this article, the shapes that are combinatorially equivalent to cubes but not required to have rectangular sides? It is clear that some people use "cuboid" in the restricted sense that you mean. It is also clear that some people use "cuboid" for
1122:
Galleries can reflow to fit narrower windows (only wide enough for 2-wide images, for instance). Wikitables cannot. Therefore for this sort of use galleries are preferable to windows. Wide tables are going to cause undesirable sidescrolling. Your table sidescrolls even on my laptop screen. Please
739:
2) The disambiguation page for Cuboid doesn't include 'rectangular cuboid' despite that being the article most people would actually be looking for. When you search for cat, both the article for the domestic house cat, and the larger family of cats including lions and tigers are included in the
439:
You seem to be under the impression that a square is not a rectangle. While there is some support for that position in the literature, I don't think it's a helpful point of view. A square is a special kind of rectangle, but it is still a rectangle. The square cuboid's square faces are also
509:
about "cuboid" is useful mainly to associate the word with its meaning. So, for
Knowledge, the importance of the article is relevant here, not the importance of the subject. Still, since cuboids are definitely of more than specialist interest, I give this article "Medium" importance.
785:. I'm not sure what the right title is for the subject of this current article under discussion. Is it really even notable as a concept? Are there other authors beyond Robertson who have anything meaningful to say about it? It could probably just be merged as a section of
729:
I don't really have an issue with this article 'existing' per se. And I don't really have an issue with this article being called cuboid, if that's the common term applied to the class of shapes here, if this class of objects is referenced often enough to deserve its own
372:"A cuboid with integer edges as well as integer face diagonals is called an Euler brick, for example with sides 44, 117 and 240. A perfect cuboid is an Euler brick whose space diagonal is also an integer. It is currently unknown whether a perfect cuboid actually exists."
854:
say that the relevance to "hexahedral mesh" construction is the main reason this shape is notable, and by far dominates all of the research literature ever mentioning it. If there's going to be an article about this, it should maybe focus on that topic. –
187:
Sorry but in fact, a square cuboid must have AT MOST 2 square faces. The other 4 faces can be equal sized rectangles. e.g. the rectangles can measure 6cm on each length and 2cm in width therefore having the two square faces measuring 2cm on each side.
263:
I don't think it was bcz i was on drugs tho it would make more sense than what i remember, but i think it's wrong, bcz "rectangular" does not (for a solid figure) imply all faces. "Right rectangular prism", but i'm not sure we should bother with
725:
Also, hang on, that's the same
Robertson -- that makes it especially interesting to me what he said in "Polytopes and Symmetry"; what does he say in polytopes and symmetry? Do you have access to that reference? can you share what it actually
743:
3) Yes I know wikipedia is not a dictionary; and I understand your point - but you have one source using cuboids for quadrilateral polyhedra and one source saying those non-rectangular solids are NOT cuboids - that disagreement needs to be
1104:
It rarely shows with mobile edit tags, but when I edit
Knowledge, I almost always do it on my (rather big) smartphone (with which I often use the PC version of Knowledge), where tables are automatically adjusted to the width of the
656:
I could see how the article might expand from there that there are these other more exotic shapes that are sometimes also classed as cuboids, and when cuboid is used in that context then the usual 'cuboid' is a 'rectangular
721:
4 - Roberston - to me, that looks a LOT like Branko, where he literally says in a paper "Suppose that we call cuboids". I think he's appropriating the term to talk about a more general class (which is the subject of the
695:, again. Dictionary articles are about words and their meanings. Encyclopedia articles are primarily about the things described in those articles, and to a much lesser extent about the words used to name those articles. —
649:
You say "what is relevant is what name is in common usage for this meaning". Well, what mathematical name is in common usage for things are ONLY rectangular boxes and not parellelepides and frustrums? Isn't that name:
666:
Those are the mathematically defining criteria for what a shape needs to be to be a cuboid; and then wikipedia directly contradicts that and says that cuboids can have any quadrilateral shaped face at any
291:
cuboid is technical (you can minor in math and not know it), but this is not a dictionary, and the article is not about the technical word "cuboid", but about the sometimes technical, sometimes simplistic
162:
Pardon me for being stupid, but is a square cuboid not only one square face? If it has two square faces then does its conjunction on each edge not require that the third is therefore also a square?
691:. That is not the subject of this article. This article is about the things you want to call quadrilateral-faced hexahedra. Regardless of the name, the subject of the article is what it is. See
308:
I've no objection to including good rigorous material, but do bear in mind that the straight-forward stuff needs to be there too. None of these articles belong exclusively to the specialists.
670:
If we consider that the parallelepiped is also cuboid based on another source, fine, but then shouldn't the fact that the source materials are in direct opposition, itself, be made apparent?
140:
296:
of cuboid. Its only really suitable name (adequately precise and adequately brief) is "cuboid", but the technical sound of that word is a red herring: piping means it can be lk-ed via
602:
be called a cuboid, and more of a 'lets call these solids cuboids as a convenient shorthand for our purpose here'. Is there a more authoritative source or more consensus on that usage?
663:"If the three sections are rectangles, all the faces are rectangles, and all the dihedral angles are right angles, and all the corners are right corners The figure is then a cuboid"
558:
If the three sections are rectangles, all the faces are rectangles, and all the dihedral angles are right angles, and all the corners are right corners The figure is then a cuboid.
609:) are co-labelled "Quadrilaterally-faced hexahedron" which seems unambiguous, precise, and correct. It refers to no other polyhedra, and leaves none of the ones in the table out.
765:
In doing a search, this use of the name 'cuboid' seems to be very rare. The only source I can find by an author other than
Robertson, who seems to have coined this usage, is one
491:
A year or two ago I was looking for an english word for the notion "rectangular box" and was surprised to find such a modest article. Cuboids are so common in life that the
1137:
Additionally, because it is so wide, the table overlays the toolbar in my right margin (it goes past the margin and off the screen), blocking the use of the tools. —
180:"The square cuboid, square box or right square prism (also ambiguously called square prism) is a special case of the cuboid in which at least two faces are squares."
769:. By contrast, I can easily find hundreds of examples of sources using 'cuboid' to mean a rectangular parallelepiped. I'd recommend putting the disambiguation page
505:
However, because cuboids are so commonplace, many people just know its important properties and do not need an encyclopedia to look them up. In this regard, the
1108:
I'm not sure I understand your technical suggestion; but of course, you can try it (as long as it shows as much information as the present table does, please). —
866:
Another phrase that appears to describe the six-quadrilateral shapes in some literature is "combinatorial cube", although that also has other meanings. See e.g.
605:
As for what other word to use for the shapes in the table in this article. Both the table on this page and the same table on the more general hexahedron page (
518:
Judging from its age, the amount of edits, and my own impression, the article meets the important demands. Therefore I deem it a Start rather than a Stub. --
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184:
Each face of a cuboid is identical to the opposite face. This means a square cuboid must have "at least" 2 square faces, and it must be an even number.
801:
There are plenty of examples of "cuboid" being used in the general sense in the scientific computing / finite element meshing literature. For example:
1181:
736:
1) This article on 'cuboid' cites a reference that says the subject matter of this article are NOT cuboids, surely that should be called out somehow?
166:
Care to sign your post (;-)? The sentence in the article is correct. Hint: A cuboid has six faces. But you are thinking along the right line (:-). --
106:
748:
DEFINE cuboid to REQUIRE them to be rectangular, and that the more general class of polyhedra according to those sources would NOT be cuboids.
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If a square cuboid has 4 square faces, then the other 2 faces must also be square, and the "square cuboid" is actually a cube in that case.
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It would be more flexible if transposed; as is, it's wider than my window, and adding/removing an entry will be prone to errors.
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470:, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.
715:
2 - Branko - cited as re-using the word cuboid to talk about a more general class of polytopes expanded into higher dimensions.
673:
And shouldn't the FAR more common meaning of cuboid -- that of being a box and only being a box, be more clear and prominent?
980:
because this article otherwise has nothing to do with higher dimensions, and even less with hyperbolic space! I'll add
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I'll set aside what to call quadrilateral faced hexahedra aside for a moment; because that's not really my issue.
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Interestingly the line I quoted from rectangular cuboid again a cites back to the same 1984 Robertson text.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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I think the words length and area are missing. But it is not my field so I have not changed it
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disambiguation page. Not so here. Only this article is returned. I think that's also an issue.
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increases the vertices by a multiplication of two. With 8 vertices a cube, 16 vertices a
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And the text book citation on this article, to
Elements of Synthetic Solid Geometry
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This didn't make any sense to me (a lowly
Physicist) until I followed the link.
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irrelevant; what is relevant is what name is in common use for this meaning. See
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Last edited at 20:09, 21 June 2007 (UTC). Substituted at 01:56, 5 May 2016 (UTC)
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The Cuboid definition at wolfram alpha, which is linked to from this page says:
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Extremely important, even crucial, to its field, and very significant beyond it.
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The article cites a page from textbook on solid geometry; and it says:
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We have an article about the things you want to call cuboids. It is
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rectangles, and the square cuboid is also a rectangular cuboid. —
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a frustrum, rhombohedron, parallelepiped, etc are NOT cuboids.
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Replaced gallery with wikitable (...): much more flexible.
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Being a cube doesn't stop it from also being a cuboid. —
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I agree that this is off-topic and should be removed. —
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Brouwer, Andries; Dejter, Italo; Thomassen, Carsten.
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I prefer galleries in this case, instead of tables.
101:, a collaborative effort to improve the coverage of
718:3 - Dupuis - says a cuboid MUST be rectangular.
466:, and are posted here for posterity. Following
563:It too requires that a cuboid is rectangular.
460:The comment(s) below were originally left at
397:An edge or a diagonal has length, not area. —
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332:, or in a shortest calculation, 2(a+b)h+ab.
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1013:"Highly Symmetric Subgraphs of Hypercubes"
495:fits the definition of "Top Importance":
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653:Shouldn't that be clear from the article?
343:The h is undefined, but h=c would fix it
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351:Let's hear what they have in mind here.
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934:I'm going to remove this new passage:
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1032:"On the cut-complexes of the 5-cube"
1017:Journal of Algebraic Combinatorics 2
95:This article is within the scope of
975:of vertices as dimensions increase.
607:https://en.wikipedia.org/Hexahedron
38:It is of interest to the following
823:(see for instance figs. 6 & 7)
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1187:Mid-priority mathematics articles
583:the more general shape (example:
468:several discussions in past years
115:Knowledge:WikiProject Mathematics
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804:Zienkiewicz & Phillips 1971
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450:19:12, 27 November 2013 (UTC)
433:18:58, 27 November 2013 (UTC)
391:09:40, 5 September 2011 (UTC)
109:and see a list of open tasks.
896:10.1007/978-94-011-5020-0_19
832:10.1016/0097-8493(95)00099-2
407:04:11, 11 October 2011 (UTC)
340:They must mean "2((a+b)h+ab)
227:15:39, 2 October 2013 (UTC)
204:10:15, 2 October 2013 (UTC)
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1030:M.R. Emany-K; L. Lazarte.
973:exponential multiplication
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908:08:00, 5 March 2024 (UTC)
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812:(see for instance fig. 7)
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945:higher-dimensional space
777:, and possibly renaming
733:My issues here are that:
488:22:08, 22 May 2007 (UTC)
275:17:25, 27 May 2005 (UTC)
245:It can also be called a
141:project's priority scale
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771:Cuboid (disambiguation)
319:07:14, 1 Jun 2005 (UTC)
98:WikiProject Mathematics
1123:revert to a gallery. —
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810:10.1002/nme.1620030407
585:doi:10.1007/BF03026511
28:This article is rated
304:talk page's article.
1047:"On Perfect Cuboids"
542:(rectangular) "box."
463:Talk:Cuboid/Comments
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941:hyperbolic geometry
555:p53, Def. 4) says:
328:A colleague added
1045:Ronald van Luijk.
943:, specifically in
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689:rectangular cuboid
456:Assessment comment
211:User: Unregistered
176:From the article:
90:Mathematics portal
34:content assessment
967:, 256 vertices a
963:, 128 vertices a
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783:Cuboid (geometry)
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347:to be repaid.
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241:that i added
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158:Square cuboid
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753:70.69.234.76
675:70.69.234.76
611:70.69.234.76
569:70.69.234.76
565:
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485:Geometry guy
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419:— Preceding
416:
383:130.88.75.48
377:— Preceding
374:
371:
368:
350:
335:
327:
324:Surface area
293:
288:
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262:
254:rectangular
253:
247:rectangular
246:
236:
213:18 Feb 2008
208:
196:186.45.84.40
190:— Preceding
186:
183:
179:
178:
175:
161:
137:Mid-priority
136:
96:
62:Mid‑priority
40:WikiProjects
520:RainerBlome
512:RainerBlome
425:77.96.59.93
365:Euler Brick
168:RainerBlome
112:Mathematics
103:mathematics
59:Mathematics
30:Start-class
1176:Categories
1153:Dedhert.Jr
999:References
930:extensions
888:1912.09554
880:2212.14721
872:1707.06563
826:Kohl 1996
787:Hexahedron
693:WP:NOTDICT
626:WP:NOTDICT
476:Comment(s)
302:lk to this
284:Good then.
1105:screen...
982:hypercube
856:jacobolus
791:jacobolus
744:apparent.
722:article).
650:"cuboid"?
1091:—Tamfang
986:—Tamfang
730:article.
657:cuboid'.
421:unsigned
379:unsigned
192:unsigned
971:, with
949:vectors
507:article
493:subject
399:Tamfang
294:concept
139:on the
1110:JavBol
969:8-cube
965:7-cube
961:6-cube
957:5-cube
953:4-cube
775:Cuboid
667:angle.
36:scale.
1050:(PDF)
884:arXiv
876:arXiv
868:arXiv
726:says?
355:Jerzy
336:but
313:Jerzy
268:Jerzy
264:that.
256:prism
1157:talk
1143:talk
1129:talk
1114:talk
1095:talk
1068:talk
990:talk
904:talk
845:talk
757:talk
701:talk
679:talk
638:talk
628:and
615:talk
593:talk
573:talk
446:talk
429:talk
403:talk
387:talk
289:word
239:says
223:talk
200:talk
939:In
898:. —
892:doi
859:(t)
828:doi
817:doi
806:doi
794:(t)
789:. –
781:to
632:. —
298:box
252:or
237:It
131:Mid
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42::
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