Plank Length

[Anonymous No.8307991]

If there is a minimum length, pi=4.

[Anonymous No.8307993]

>>8307991
No, it would not, because that approaches the area, but not perimeter, of a circle.
To approach both, use polygons with an increasing number of sides.

[Anonymous No.8308019]

I'm appalled you think physical constraints mean dip in the context of classical geometry in which many of the problems were motivated by what one COULDNT construct with ruler and straight edge

[Anonymous No.8308023]

>>8307991
The problem is at the 'repeat to infinity.
It is an interesting problem, to be frank.
I'm thinking that it has something to do with the metric that you're using. The way you're measuring the circle is using the 'manhattan metric' not the euclidean metric.

[Anonymous No.8309802]

>>8307991
That only shows pi is less than 4, which is true, but nothing more.

[Anonymous No.8309825]

>>8307991
I can demonstrate mathematically why that assumption is not true. But the summary is:
By approaching to the infinite, you have a lot of corners sitting around the circle perimeter, but those corners can't reproduce the circular shape. So basically you have a serrated shape around the circle, which has an EXCEDENT area between this figure and the circle.
PI<4.

[Anonymous No.8309833]

>>8307991
>minimum length
No one knows if there is

[Anonymous No.8309847]

>>8308023
You are not using taxicab norm there. The first square corresponds to a ball of radius 1/2 using the infinite norm (the maximum of the absolute value of the individual components)