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Lorenz and Roessler attractors as point clouds
Front view of the Lorenz attractor
visualized with points. The Lorenz attractor is the trajectory of a system of three non-linear ordinary differential equations which
originates from a mathematical model for atmospheric convection.
Side view of the Lorenz attractor visualized with points. The two branches are clearly visible to be tilted towards each other.
The Roessler attractor
visualized with points. Parameter values are a=0.1, b=0.1, c=14.0.
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Lorenz and Roessler attractors as space curves
Front view of the Lorenz attractor visualized as surface revolving around the space curve solution. The surface of this curve is
significantly elongated along the curve's normal direction. The 3D object resembling the space curve is rendered with a semitransparent
material.
Side view of the Lorenz attractor visualized as surface. The 3D object resembling the space curve is rendered with a semitransparent
material.
The Roessler attractor visualized as space curve surface.
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