Funny Fleas: Image Scaling

There is a notion of infinite regression in logic that describes a process of change that goes on and on and never stops. A graphic example for this phenomenon gives a funny verse about fleas ascribed to Scottish mathematician August de Morgan (19 century):


Great fleas have little fleas upon their backs to bite ‘em,
And little fleas have lesser fleas, and so ad infinitum.
And the great fleas themselves, in turn, have greater fleas to go on,
While these again have greater still, and greater still, and so on.

This story tells us about an infinite increase (reduction) of the size of fleas living on each other. We will illustrate some of the stages of this process using AKVIS Magnifier AI, an image resizing program.


Image and its copies
Fleas biting each other


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