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approximate due to 3D perspective. If the cube is transparent so the flatlander can see inside, there will also be two extra vertices and six additional edges joining them alternately to the outer vertices - all done with overlapping (and possibly approximate) quadrilateral zonogons, more commonly known as parallelograms. As the cube rotates, the four vertex pairs will take it in turn to disappear inside for a while. As the cube rots, edges will wiggle, then blur, then disappear so the thing becomes a shapless pulsing blob, shades of colour will vary, and the smell will worsen for a while before fading away to leave a small, hardened residue stuck to flatland. HTH — Cheers,
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Nope. Just as 4D projects down to us as 3D, so 3D projects down to a flatlander as 2D. It will start as a hexagonal zonogon, i.e. whose opposite sides are parallel and equal-sized. As the cube rotates, the side pairs will morph in length and angle. Depending on the projection, this description may be
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page and I saw a 3D projection of a rotating 4-cube. This would be what we would see if a rotating, clear tesseract suddenly appeared in front of us. I thought that if 3Dals (meaning three-dimensional ) could see a simplified 4Dal, then a 2Dal may see asimple 3Dal. Could someone describe a
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I was a bit confused about the sentence "A cube has 11 net faces", since I read it as something like "The net of a cube has 11 faces" (or "The cube has 11 faces of type net", but that gave no meaning..). At first I thought it was a typo, but then I got it. To me it seems like "A cube has 11
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I've just had a long discussion with the father of a nine year old who was told at school that the number of sides a solid cylindrical object (e.g. tin can) has is two, and the number of edges is zero. This is all based upon the understanding in the school syllabus where a
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is a flat surface, and an edge is where two sides meet. This leads to things like a sphere as having no sides. Well all this seems rather badly defined to me, and made me wonder if the definition here is all that it could be.
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I replace stat table with template version, which uses tricky nested templates as a "database" which allows the same data to be reformatted into multiple locations and formats. See here for more details:
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An IP editor left the following request in the article: "Could someone please add the internal angles within a cube. I am particularly interested in the angles of the internal diagonal. Thank you." --
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I replaced this, which was incomprehensibly vague, by a brief description of the cube graph and the 3-dimensional
Hamming graph. A full discussion of either one appears in separate articles,
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The cube can also be represented as a spherical tiling, and projected onto the plane via a stereographic projection. This projection is conformal, preserving angles but not areas or lengths
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929:(different) nets" would be clearer, or perhaps even "There are 11 distinct nets of the cube", but I'm not a native English speaker, so I would like the opinion of others on this issue.
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AFAIK the formula for a circumscribing sphere for a cube needs to be the square root of _A squared_ times three, over two. As it is currently, I think it's wrong.
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projection of a rotting cube as a
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The largest section (cutting the cube with a plane) is the one obtained through the diagonals of one of the sides, the area of this section is
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A Flatlander sees only a line, varying in length; with appropriate lighting, the line is divided into segments of different shades. —
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When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
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since the space diagonal should be precisely twice the radius of circumscribed sphere. sqrt(3)*a is not twice (sqrt(3)/2)*a
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something. It doesn't work to just spout the first words that come to mind as though you are speaking to a college classmate.
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I think that would be better. However, one person (and anom. at that) doesn't make a consensus. I think you better wait.
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A cube is a three-dimensional solid object bounded by six square flat surfaces, with three surfaces meeting at each vertex.
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and "n-cube". There is a move being considered of the page "measure polytope" to "hypercube" (see their talk pages).
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is good term for 2 dimensional objects like a square or a triangle etc. A 3D object is better described in terms of
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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That is why it is important to state exactly what projection is being discussed: a projection that goes
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If you have discovered URLs which were erroneously considered dead by the bot, you can report them with
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There is clearly consensus against this proposal, so I shall remove the merge tags from the articles.
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on
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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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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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before doing mass systematic removals. This message is updated dynamically through the template
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is the length of a side. Is this worth mentioning? If no one objects, I will add it.
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https://web.archive.org/web/20071009235233/http://polyhedra.org/poly/show/1/cube
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is not working in in the ToC, anyone know better than me that can fix it?
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is certainly the wrong page to even consider a merge to; and I'd also
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If sqrt(3)*a is not twice (sqrt(3)/2)*a, how would you change it? —
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A rotting cube would appear to a
Flatlander as a smelly line. :-)
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http://en.wikipedia.org/search/?title=Cube&oldid=327931331
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Oops, thats an octahedron. Do you think it should go on the
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There are five parallelohedrons, one of which is the cube.
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could each have a brief passage comparing the ∞-norm (
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For a cube, try max(|x|, |y|, |z|) = s/2, instead. --
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Added
Coxeter diagram for the trigonal trapezohedron
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How can you cut a cube to get the largest section ?
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944:You're right, "11 net faces" makes no sense. —
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664:Hamming graph
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545:ForrestVoight
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501:ForrestVoight
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148:High-priority
143:
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73:High‑priority
71:
68:
65:
61:
56:
52:
46:
38:
37:
27:
23:
18:
17:
1538:
1536:
1528:The cube is
1502:
1478:
1474:
1472:
1417:
1378:
1372:
1366:
1334:67.198.37.16
1327:
1276:
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1226:
1224:
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1138:source check
1117:
1111:
1108:
1081:
1078:
1060:
1014:
1010:
1001:this comment
998:
979:Looks good!
963:
927:
888:
871:
847:
802:Double sharp
777:76.188.26.92
769:
757:76.188.26.92
731:— Preceding
727:
726:
721:
717:
715:
709:
706:
690:Jitse Niesen
687:
671:
667:
657:
635:
617:
538:
515:Jitse Niesen
403:
378:
356:
342:
332:
276:, and other
263:
199:
193:
147:
107:
51:WikiProjects
34:
1420:a merge to
1321:Merge from
1218:Bad writing
966:Robin Leroy
931:Danmichaelo
850:—Preceding
826:Steelpillow
123:Mathematics
114:mathematics
70:Mathematics
1559:Categories
1522:composites
1508:Dedhert.Jr
1175:Report bug
895:VoidLurker
703:Definition
632:Hypercubes
563:Octahedron
541:octahedron
511:octahedron
1428:article.
1158:this tool
1151:this tool
1062:Nicoguaro
772:tesseract
737:Nsmith999
642:hypercube
588:The Anome
531:The Anome
287:Polyhedra
278:polytopes
274:polyhedra
245:Polyhedra
39:is rated
1543:—Tamfang
1483:—Tamfang
1412:Indeed:
1400:—Tamfang
1365:Agreed.
1308:Snus-kin
1164:Cheers.—
981:Tom Ruen
852:unsigned
745:contribs
733:unsigned
722:surfaces
716:I think
479:, where
400:Equation
366:Tom Ruen
345:Tom Ruen
338:resistor
270:polygons
1430:Klbrain
1245:surface
1088:my edit
946:Tamfang
910:Tamfang
876:Tamfang
787:Tamfang
624:Tamfang
605:Tamfang
575:Tamfang
391:Tamfang
150:on the
41:B-class
1418:oppose
1380:cmɢʟee
676:Zaslav
646:Zaslav
559:Sphere
543:page?
381:0waldo
329:Trivia
201:spoken
47:scale.
1479:kinds
670:-ary
573:). —
513:? --
28:This
1547:talk
1512:talk
1503:Done
1487:talk
1475:oids
1452:talk
1434:talk
1414:Cube
1404:talk
1385:τaʟκ
1374:cube
1357:talk
1338:talk
1312:talk
1264:talk
1252:from
1234:what
1209:talk
1084:Cube
1066:talk
985:talk
970:talk
950:talk
935:talk
914:talk
899:talk
880:talk
860:talk
830:Talk
806:talk
791:talk
741:talk
718:side
710:side
694:talk
662:and
622:. —
603:. —
561:and
555:Cube
519:talk
142:High
1448:JBW
1203:. —
1132:RfC
1102:to
1007:).
335:ohm
306:???
1561::
1549:)
1514:)
1506:.
1489:)
1454:)
1436:)
1406:)
1398:.
1359:)
1340:)
1314:)
1266:)
1256:to
1229:"
1211:)
1145:.
1140:}}
1136:{{
1068:)
987:)
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952:)
937:)
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882:)
862:)
832:)
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747:)
743:•
696:)
557:,
521:)
272:,
1545:(
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1383:⎆
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1262:(
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1207:(
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1160:.
1153:.
1064:(
1044:2
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1034:2
1029:=
1026:A
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460:s
457:=
453:|
449:z
445:|
441:+
437:|
433:y
429:|
425:+
421:|
417:x
413:|
314:.
154:.
53::
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