Technically a physiogram is a long exposure photograph of moving light.
There are many ways to make the light move. You can hang the light on a swinging pendulum, move it by hand, put the light on a machine that moves the light or even swing the camera to make it look like the light is moving. However you move the light the resulting image is a record of the path the light took during its journey.
The mathematical term for these images are hyptotrochoid patterns.
Here are a few of my own examples:
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