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Problem is that the simplest definition of π is the ratio of circumference /diameter of a circle, and the definition of a circle is the locus of points at a fixed radius from the centre. Now if we allow π to be variable, either all circles will be differently shaped, in which case the definition of a circle is meaningless, or the ratio diameter/radius is variable. But we know that d/r = 2 by symmetry, so if π is variable, so is 2. But 2 is defined as a constant.And since e^{iπ}= -1, a variable π implies that e, i or 1 is variable. Which would be OK if numbers were psychic so that, for instance, 1 somehow "knew" what value to take when π wobbled a bit.

Setting the circle as a collection of dots does not create a closed compass line.

The line is the fundamental concept of geometry.

Maybe I did not explain myself correctly.I'm talking about circles on plane.A circle is a closed line drawn in the plane, using a device (calipers)For any actual length of such a closed line, there is a unique ratio number.The actual length of such a closed line, expresses a quantity of mmThe ratio of closed lines varies from 3.1416 to 3.1643.164 belongs to a very small closed line, that approaches zero mm3.1416 belongs to a huge closed line, which approaches infinity mmthanks

The certificate can only provide a real experiment.I hope that a scientific institution will conduct the experiment I described.

Measurement can only determine inequality.

Where is the measurement on circles?The link you presented does not have this measurement.If there was such a measurement, it had a primary purpose.Determine whether the diameter ratio of two circuits is (equal or not equal) to the circumference ratio of the circuits.But such a measurement has never been made, since it is very difficult to perform.And what did the mathematicians do? They simply decided that the relationship was exactly the same.The result: a fixed pi for all circles, and this error takes thousands of years.The measurement I propose will correct the mistake