Caption: 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.

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Keywords: 3-space, 3d, animation, artistic, breather, dimensional, endless, geometric, hyperbolic geometry, loop, looping, math, mathematics, non-linear wave-equation, parametric, pattern, pseudosphere, pseudospherical, sculptural, sge, shape, sine-gordon equation, surface, three, time-periodic 2-soliton

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Parametric breather surface

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Duration: 00:00:10

Frame size: 1920x1080

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