English: An animated illustration of the generation of a torus as the surface of revolution of a circle; it shows the process of revolving the circle. An arrow shows the axis around which the circle is revolved. The torus has a gradient color and opacity, both for visual effect and to emphasize the process of revolution.
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Captions
Animated illustration of the generation of a torus as a surface of revolution
Improved with technique learned from making mobius gif - DisplayDurations is now used instead of having 12 extra frames, and an extra frame with theta = 0 has been added. I didn't remember the PlotPoints setting I originally used, so sampling density may be higher or lower [most likely higher] than before - although the change is likely imperceptible