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searching for 3-torus 20 found (29 total)

Prime knot (265 words) [view diff] no match in snippet view article find links to article

knot is the trefoil with three crossings. The trefoil is actually a (2, 3)-torus knot. The figure-eight knot, with four crossings, is the simplest non-torus

3-manifold (5,836 words) [view diff] exact match in snippet view article find links to article

S^{1}\times S^{1}.} The 3-torus, T3 can be described as a quotient of R3 under integral shifts in any coordinate. That is, the 3-torus is R3 modulo the action

List of manifolds (287 words) [view diff] exact match in snippet view article find links to article

plane, RP2 Sphere, S2 Surface of genus g Torus Double torus 3-sphere, S3 3-torus, T3 Poincaré homology sphere SO(3) ≅ RP3 Solid Klein bottle Solid torus

Mean reciprocal rank (311 words) [view diff] no match in snippet view article find links to article

Correct response Rank Reciprocal rank cat catten, cati, cats cats 3 1/3 torus torii, tori, toruses tori 2 1/2 virus viruses, virii, viri viruses 1 1

Gimbal lock (2,606 words) [view diff] exact match in snippet view article find links to article

because the map from Euler angles to rotations (topologically, from the 3-torus T3 to the real projective space RP3, which is the same as the space of

Borel conjecture (514 words) [view diff] exact match in snippet view article find links to article

S3{\displaystyle S^{3}} is not aspherical. Nevertheless, the Borel conjecture for the 3-torus T3=S1×S1×S1{\displaystyle T^{3}=S^{1}\times S^{1}\times S^{1}} implies

Immersion (mathematics) (2,807 words) [view diff] exact match in snippet view article

domain. Similarly, although S3{\displaystyle \mathbb {S} ^{3}} and the 3-torus T3{\displaystyle \mathbb {T} ^{3}} are both parallelizable, there is no

2018–19 Superliga (men's handball) (95 words) [view diff] no match in snippet view article

2 275 247 +28 24 2 Sandra SPA Pogoń Szczecin 10 6 0 1 3 282 245 +37 19 3 Torus Wybrzeże Gdańsk 10 4 1 1 4 268 274 −6 15 4 Zagłębie Lubin 10 4 0 0 6 269

Torus knot (1,790 words) [view diff] no match in snippet view article find links to article

the (2,−3)-torus knot, also known as the left-handed trefoil knot

Möbius–Kantor graph (1,512 words) [view diff] no match in snippet view article find links to article

The Möbius–Kantor graph admits an embedding into a triple torus (genus 3 torus) that is a regular map having four 12-gonal faces, and is the Petrie dual

Rank (differential topology) (659 words) [view diff] exact match in snippet view article

in three dimensions. Topologically this corresponds to a map from the 3-torus T3 of three angles to the real projective space RP3 of rotations, but this

Yamabe invariant (1,174 words) [view diff] exact match in snippet view article find links to article

\mathbb {P} ^{2}\times S^{1}} σ1/22/3{\displaystyle \sigma _{1}/2^{2/3}} computed by Bray and Neves T3{\displaystyle T^{3}} 0{\displaystyle 0} the 3-torus

Singular homology (3,229 words) [view diff] exact match in snippet view article find links to article

spaces, CPn, a point, spheres Sn( n ≥ 1 {\displaystyle n\geq 1} ), and a 3-torus T3 with integer coefficients. The construction above can be defined for

Geometrization conjecture (4,049 words) [view diff] exact match in snippet view article find links to article

6-dimensional Lie group R3 × O(3, R), with 2 components. Examples are the 3-torus, and more generally the mapping torus of a finite-order automorphism of

Seifert fiber space (3,040 words) [view diff] exact match in snippet view article find links to article

trace 2 automorphism of the 2-torus. For b=0 this is Euclidean, and is the 3-torus (the surface bundle associated to the identity map of the 2-torus). {b;

Covering space (6,872 words) [view diff] exact match in snippet view article find links to article

in three dimensions. Topologically this corresponds to a map from the 3-torus T3 of three angles to the real projective space RP3 of rotations, and the

Charts on SO(3) (2,785 words) [view diff] exact match in snippet view article

explains why, for example, the Euler angles appear to give a variable in the 3-torus, and the unit quaternions in a 3-sphere. The uniqueness of the representation

Berry connection and curvature (2,556 words) [view diff] exact match in snippet view article find links to article

space itself is closed, with the Brillouin zone having the topology of a 3-torus in three dimensions, the requirements of integrating over a closed loop

Italo Jose Dejter (5,641 words) [view diff] exact match in snippet view article find links to article

tightly fasten those 7-cycles in Γ'. This yields an embedding of Γ' into a 3-torus T3 which forms the Klein map of Coxeter notation (7,3)8. The dual graph

List of DreamWorks Animation video games (2,372 words) [view diff] no match in snippet view article find links to article

Your Dragon 2 2014 Xbox 360, Nintendo 3DS, Wii, Wii U and PlayStation 3 Torus Games Little Orbit Dragons: Titan Uprising 2018 Ludia Dragons: Dawn of