When you call something's "lenght", you have just now truncated in your head an infinite dimension into not only two , but exactly >3< parts:
there are two parts beyond the "lenght",  with different polarities, and an inside the area you have just created: sliced / polarized ... is also infinite.
But what happens with these forgotten parts of these dimensions you called until this :flat / linear ?!
Both of them will become a curve in infinity !!! They explicitly MUST to do so in infinity !
Same way when you bend and truncate into itself .. a "1/3" into 0."33" often in just the second (!) iteration of infinite iterations.
Let see now the very same dimension from "opposite direction" , outside :
the whole case happening reverse: the curve , as you called until this, will become a flat !
This is the only property of infinities, which makes geometry and algebra impartible from now, with a very "simple" , but the most important logical algrebraic modification, without
which
impossible to understand mathematics, thus write formulas of
dimensions and its "physics" right , called: multiple
negated fractions
as a completely new science of mathematics and the physics of dimensions, use negative expressions after fractions,
this is the only simple trick to understand how the things are working exactly.
Without the realization of these things above, like the behaviour of numbers in infinities like dimensions and without
multiple negated fractions, we can not speak about mathematics, especially not science. Furthermore:
without this kind of symmetry in algebra i just can't understand what the hell are physicists looking for in physics??!!
±1.±1.±1.±1 [ π_{3[Target]} ±F^{0} ]
PI lower/middle/upper hook segment MEAN:
3 
3 


4 
4 


4 
4 

3/1 

3 

4/1 

4 

4/1 

4 
4 
4 


4 
4 


4 
4 

7/2 

3,5 

8/2 

4 

8/2 

4 
19/6 
3,1”66” 


2 
2 


2 
2 

61/18 

3,3”88” 

10/3 

3,”33” 

10/3 

3,”33” 
46/15 
3,0”66” 


8/3 
2,”66” 


3 
3 

397/120 

3,308”33” 

19/6 

3,1”66” 

13/4 

3,25 
47/15 
3,1”33” 


11/3 
3,”66” 


7/2 
3,5 

491/150 

3,27”33” 

49/15 

3,2”66” 

33/10 

3,3 
616/195 
3,1”589743” 


52/15 
3,4”66” 


19/6 
3,1”66” 

1523/468 

3,25”427350” 

33/10 

3,3 

59/18 

3,2”77” 
1321/420 
3,14”523809” 


14/5 
2,8 


46/15 
3,0”66” 



3,238”697017268445839874411302982731554160125588” 

113/35 

3,2”285714” 

341/105 

3,2”476190” 
π_{n }/ π_{n1} ratio:
π_{0}/π_{1} = 1/0 = ∞ = 1 (*π_{1})
π_{1}/π_{0} = 2/1 (*π_{0}) = 2
π_{2}/π_{1} = π_{2}/2 = 1.57"' (*π_{1}) = 3.14"'
π_{3}/π_{2} = 4/π_{2} = 1.27"' (*π_{2}) = 4
π_{4}/π_{3} = ( 2π_{2}^{2}/(4/3 π_{2}) / 4) = (3/8) π_{2} = 1.17"' (*π_{3}) = 3/2 π_{2} = 4.71"'
π_{5}/π_{4} = ( (8/3π_{2}^{2}) / (π_{2}^{2 }/2) ) / (3/2 π_{2}) = 32/(9π_{2}) = 1.13"' (*π_{4}) = 16/3 = 5.33"'
π_{6}/π_{5} = ( π_{2}^{3 }) / ( (8/15) π_{2}^{2 }) / ( 16/3 ) = 45/(128π_{2}) = 1.10'" (*π_{5}) = 15/8 π_{2} = 5.89"'
π_{7}/π_{6} = ( (16/15) π_{2}^{3 }) / ( (1/6) π_{2}^{3 }) / ( 15/8 π_{2} ) = 768/(225π_{2}) = 1.08"' (*π_{6}) = 32/5 = 6.4