Your browser does not support this video. Conceptually similarSCOTT CAMAZINEParametric breather surfaceSS234823VC1665Rights ManagedSCOTT CAMAZINEBoys surfaceSS234806VC1657Rights ManagedSCOTT CAMAZINEBryant-Kusner Boys surfaceSS234808VC1658Rights ManagedSCOTT CAMAZINEBryant-Kusner Boys surfaceSS234809VC1656Rights ManagedSCOTT CAMAZINEcatalan surfaceSS234827VC1667Rights ManagedSCOTT CAMAZINEAbstract surfaceSS235062VC1783Rights ManagedSCOTT CAMAZINEBow curveSS234801VC1654Rights ManagedSCOTT CAMAZINEPisot triaxial surfaceSS235002VC1755Rights ManagedSCOTT CAMAZINEtrianguloid trefoilSS235066VC1786Rights ManagedView AllParametric breather surfaceLicense type:Rights ManagedUnique identifier:SS234822Legacy Identifier:VC1664Description:Parametric breather surface, an example of a surface in 3-space whose intrinsic geometry is the hyperbolic geometry of Bolyai and Lobachevsky. Such surfaces are in one-to-one correspondence with the solutions of the so-called Sine-Gordon Equation, or SGE, that also arises in high-energy physics. SGE is an equation of the soliton type and the Breather surface corresponds to a time-periodic 2-soliton solution.Credit:Scott Camazine / Science SourceSize:1920px × 1080px (~42 MB)Get PricingHow Will The Visual Be Used?ShareKeywords:3d-3-space-animation-artistic-breather-dimensional-endless-geometry-hyperbolic geometry-loop-looping-math-non-linear wave-equation-parametric-pattern-pseudosphere-pseudospherical-sculptural-sge-shape-sine-gordon equation-surface-three-time-periodic 2-solitonDuration:10sParent folder:20141219_cam007_87