Revision #188 → #1336 · back to history
addedKlein bottle (one-sided surface)ce2fd3d1c323
addedBoundaryless, not embeddable in 3-spaceac13d175e714
addedFundamental polygon of the Klein bottle6d6a71bb81f8
addedImmersion in three-dimensional spaceb999be2dccfa
addedNo boundary and non-orientable4014cd85b173
addedProper bottle does not self-intersectb107b00bcde7
addedQuotient space of the square54c348b51ec6
addedNon-orientable closed manifold, embeds in R4a759a3575a70
addedSpherinder Klein bottle generalization749c022b77b8
addedFiber bundle over the circlef5fa6d403cc7
addedJoining two Möbius stripsa1576fd213b2
addedCW structure, Euler characteristic and homology groups05a42fe0df0a
added2-1 covering map from the torus0dc9b77e1e78
addedFundamental group presentation0c8bd0254ea5
addedSix colors suffice (Heawood exception)f481625106c4
addedConnected sum of two projective planes43c75969cfec
addedOne-sided when embedded in Euclidean space8dea93f6e65e
addedDissection into two mirror-image Möbius strips600c86409783
addedHomology classes of simple-closed curvesfc93bad6ef29
addedFigure-8 immersiona650041c4334
addedCross section is a 2:1 Lissajous curvee42dbc6ed7fd
addedNon-intersecting 4-D parametrization9ab1cdb68905
addedPinched torus / Möbius tube parametrization1f9d89b942a4
addedBottle-shape 3D immersion parametrization35b85d43e31e
addedThree regular homotopy classes7daed602d647
addedTraditional achiral, figure-8 chiral4bb07ea61cff
addedCutting yields Möbius strips of opposite chiralityfab9331d17f5
addedSolid Klein bottle as Möbius strip times interval35406f47b5a7