Hi /sci/, I was fucking around with GeoGebra (shitty math program)

>>7970187
GeoGebra ain't to shit man, I like it cause I can drag points where I want them so I can easily manipulate the experimental results from the lab giving me great lab reports :^)

>>7970191
nice, i guess the program is okay for geometry

>>7970195
It does a good job at fitting data as well. I don't think it can (or I don't know how to) plot large amount of data from a file, something like gnuplot's plot "whatever.dat" using 1:2 with lines

>>7970208
i fail to see how that function is related to these values.

>>7970187
The longest possible line you can draw in a triangle is it's side. So the ratio should be 3 for a triangle. And for a pentagon it should be 5/(2sin(3pi/5))

>>7970187
Hint: if you considered longest radius instead of diameter it wouldn't oscillate anymore

Ratio of apothem/diameter of an n sided regular polygon

[eqn] n tan(\frac{\pi }{n}) [/eqn]

thus

[eqn]\lim_{n\to\infty} n tan(\frac{\pi }{n}) = \pi [/eqn]

>>7971350
This equation over real numbers greater than 1 has a horizontal asymptote at pi. The oscillations in your results are due to the dopey way you calculated "circumference."

>>7971367
Seems to me the fact that the shapes with even numbers of sides have diameters that go between to corners, thus overestimating a circle diameter, while those of odd sides go from corner to side, underestimating desu. Could be fixed by just using radii, as another anon said.