What is real Switzerland area? ...not on a map

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1
What is real Switzerland area?

I mean with surface of mountains, not on a map.

Assume of mountain area as square pyramid edge area with height h and square basement length a .

Area of 4 pyramid edges is:

S4=a^2*sqrt((2h/a)^2+1)

4 pyramid edges area to basement area ratio is:

K= sqrt((2h/a)^2+1):

Therefore, real Switzerland area depends on h/а ratio.

Switzerland area on the map is Ssw=41285 sq. km.

Taking into account ratio, real Switzerland area is:

Sswr=Ssw*К

Assume h/а=1, in that case real Switzerland area Sswr=Ssw*2.26

At h/а=2, Sswr=Ssw**4.12, i.e area is equal to 170094 sq. km.

For comparison:

France area - 635 775 sq. km.

Germany area - 357 000 sq. km.

Austria area -93 900 sq. km.

Czech area - 78 884 sq. km.

Real Switzerland area is equal to half Germany area!

2

i hope you didn't have to calculate this yourself!!

3
It ́s bigger than a bread-box... just

4
That's what I do...

5
Erm, Switzerland is not 1 giant mountain twice as high as it is wide....

Also, Germany is not completely flat.

6
Sorry buddy, model does not depend from number of pyramids. We can cover Switzerland with any number of pyramids with ratio h/a – result would be the same...

7
Marvellous, however my point remains the same - I'm looking out of my window and seeing a big flat field with ratio h/a definitely not equal to 2. Alternatively, on a clear day, my view of the Schwarzwald is distinctly more "rugged"

8
Furthermore, as any fule nos, land surface area is essentially a fractal dimension and thus tends to infinity.

9
Wrong example... It is right if we calculating surface area, but we estimate RATIO of areas which doesn’t depend from discretization for chosen model.