Revision #604 → #1408 · back to history
addedMöbius strip (definition)c198fbca4146
addedNon-orientability4ad7a40e92f9
addedSimplest non-orientable surface26a5d5bbd3ff
addedOne-sidedness when embedded in Euclidean space89fd402f0a86
addedTwo-sided embeddings in other spaces8388a1c9a5a0
addedOnly countably many disjoint embeddings92028a684c3a
addedSingle boundary curve0fff0c1c65dc
addedBoundary length is twice the centerline1f1d9964f4d5
addedChirality of the Möbius strip692f03bc8550
addedEquivalence of embeddings (knot and twists)a75310c35a96
addedEven twists yield the annuluscf0b09699114
addedDeformation retraction onto centerlinece16daf814ba
addedFundamental group is infinite cyclicdccadcf21240
addedCutting along the centerlinef84c8e24b844
addedCutting a third of the way across81f8db3b7e6f
addedParadromic ringsdd1f61a10e20
addedSix mutually adjacent regions / six colors681638516311
addedRingel–Youngs theoremec520f5041d9
addedTietze's graphffd44b0473b0
addedMöbius ladders9e048358d768
addedThree utilities problem on a Möbius strip21c79290ace1
addedEuler characteristic is zerod28b3dc3bdc9
addedConstruction by sweeping a line segmentb64cc95f34d6
addedAny odd number of half-twists96386ae2669a
addedSliced torus remains connected916cbf146d41
addedPlücker's conoid3f141fe54727
addedShortest flat-folded equilateral-triangle stripc6a8eb8258ad
addedTrihexaflexagonf95ef4e872c5
addedFive-triangle polyhedral Möbius stripe08e4ee38ca2
addedUnique tight Möbius strip6321582921a5
addedOther polyhedral embeddings5f3e8d8c280d
addedTriangulations of the projective plane embed157903a7b118
addedRealizability condition for triangulations4754685f985d
addedSmooth embedding aspect ratio bound69057a5e0034
addedDevelopable surface model of paperfa1f2e4a29d9
addedLower limit on smooth aspect ratio8f86cab69275
addedSelf-intersecting strips above the boundff034837dda7
addedAspect-ratio bound without self-intersection7930130fdec9
addedSchwartz: no smooth embeddings below cutoff344ca4674803
addedNash–Kuiper theorem application410573231705
addedUnbounded Möbius strip / tautological line bundlea4ade4e11d43
addedSmooth closed embedding in 4D4c7a19885640
addedMinimum-energy shape28ea8ee8a238
addedBoundary is topologically a circle146498e6635a
addedKlein bottle from two Möbius stripscb14493ba494
addedCircular slice of Lawson's Klein bottleb5d3ec5ede64
addedLawson's Klein bottlefb5d49159358
addedSudanese Möbius strip087c907d689a
addedSymmetry group of the Sudanese strip8e1b3822fd37
addedCross-cap07dcd0c5bf6e
addedOpen Möbius strip6c5cd40ba3f5
addedConstant-curvature Riemannian metrics3d26270db7dc
addedUnique flat complete metricf5a0ab8d4aca
addedOne of five complete flat manifolds6511a30261d3
addedComplete negative-curvature metricdc62842185b4
addedOne of 13 nonstandard surfacesa873426843f4
addedPositive curvature cannot be completef6adcdec65cb
addedHomeomorphic to once-punctured projective plane7b1afd327c58
addedMeeks Möbius strip34cf235b0257
addedConstruction via the Björling problem8dd64863a16d
addedSpace of plane lines is the open Möbius stripd6b82e3b8801
addedSpace of Euclidean lines as punctured projective planed13e176fd014
addedSpace of hyperbolic lines3d5f4a552f3a
addedOpen Möbius strip is homogeneous4efb8046ca68
addedSolvmanifold that is not a nilmanifold5e1eee509cb3
addedGroup model23480028365b