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Help me please I’m confused

The exponential explosion in origami. Zhang San has a very large piece of paper with a thickness of about 0.08mm. In theory, how many times can it be folded in half to reach the height of Mount Everest (8848.13 meters)

11th Mar 2023, 2:24 PM
Theodora Lu
3 ответов
+ 8
Brian , Theodora Lu brian you are right - in practice it is not possible folding paper in the way the task is set up, but in theory we can calculate it. > we start with *1* layer of paper: that has a thickness of 0.08 mm 1. fold has *2* layers => 2 * 0.08 => 0.16 mm 2. fold has *4* layers => 4 * 0.08 => 0.32 mm 3. fold has *8* layers => 8 * 0.08 => 0.64 mm 4. fold has *16* layers => 16 * 0.08 => 1.28 mm ... 10.fold has *1024* layers => 1024 * 0.08 => 81.92 mm ... the coding can be done in a loop.
11th Mar 2023, 8:47 PM
Lothar
Lothar - avatar
+ 3
In theory and practice it is impossible. A piece of paper cannot be folded in half more than six times without cutting/tearing it. After six times of folding it in half the outer edge gets too thick to bend around the folds.
11th Mar 2023, 3:00 PM
Brian
Brian - avatar
0
Why didn't try while loop
12th Mar 2023, 3:07 PM
Karthik Tiwari
Karthik Tiwari - avatar