Doubling 42 times crosses the Earth–Moon distance.
Precise claimDoubling a 0.1 mm sheet 42 times gives about 439,805 km, past the 384,400 km mean Earth–Moon distance. Fold 41 is about 219,902 km, the first whole fold past halfway, and fold 42 adds that entire thickness again. Linear intuition misses this by orders of magnitude because each fold multiplies rather than adds.
Applies
The page computes the idealized model t(n) = 0.1 mm × 2ⁿ with no compression and no physical fold limit. Every stated milestone — knee height, human height, blue whale, Statue of Liberty, Eiffel Tower, Burj Khalifa, Everest, ISS altitude, Earth–Moon, Earth–Sun — is the first fold whose thickness crosses the landmark's nominal height, recomputed independently on 2026-07-20.
Does not prove
This is not a claim about physical paper: the verified fold record is 12 (Britney Gallivan, 2002), and the Gallivan loss function bounds real folding. It is not evidence that any specific real process grows exponentially. Landmark heights and the lunar distance are nominal mean values, not precise measurements.
Portable rule
If a quantity doubles per step, then estimate with ×1000 per 10 steps before trusting a linear guess.
Declare the discussion context, then copy a stable link. No account or personal data is attached.
scale-distortion
Could 42 Folds of Paper Reach the Moon?
Commit to a thickness guess for a sheet folded 42 times, then drive a single fold-count slider along a milestone ladder from knee height to the Moon and watch where your own guess actually lands.
The setup
One idealized sheet. 0.1 mm thick. Doubled in thickness 42 times.
The model ignores compression and the physical fold limit: each step doubles the whole stack, forty-two times in a row.
t(n) = 0.1 mm × 2n
The reveal
Fold 42 adds as much as folds 1–41 combined.
Doubling a 0.1 mm sheet 42 times gives about 439,805 km, past the 384,400 km mean Earth–Moon distance. Fold 41 is about 219,902 km, the first whole fold past halfway, and fold 42 adds that entire thickness again. Linear intuition misses this by orders of magnitude because each fold multiplies rather than adds.
Computed live from t(n) = 0.1 mm × 2ⁿ — the same rule at every fold.
Fold
Thickness
That is…
10
10.2 cm
a paperback
20
105 m
the Statue of Liberty
27
13.4 km
above Mount Everest
32
429.5 km
the Space Station's orbit
40
109,951 km
barely a quarter of the way
41
219,902 km
first fold past half the mean distance
42
439,805 km
past the Moon; adds another fold-41 stack
Earth – Moon · 384,400 kmYour stack · 439,805 km
Your committed guess—
Lock a guess above to see where it lands.
Doubling feels slow — right up until the exponent gets loud.
The rebuilt model
You assumed:
Folding a sheet n times makes it about n sheets thick, so 42 folds is still desk-sized — meters at most.
The actual model:
Each fold multiplies the thickness by two, so thickness grows as 0.1 mm × 2ⁿ: ten folds multiply by about a thousand (2¹⁰ = 1024), twenty by about a million, forty by about a trillion. Estimation rule: count ×1000 for every ten folds, then multiply the remainder — 42 folds is roughly 0.1 mm × 10⁴ × 4, about 4 × 10⁵ km.
The variable that failed you:
The growth rule — whether each step adds one sheet's thickness or multiplies the whole stack by two.
Change one variable
Only the fold count moves now.
Same sheet, same doubling rule. The target is the Moon — 384,400 km away.
Knee height50.0 cm · fold 13
Human height1.8 m · fold 15
Blue whale30 m · fold 19
Statue of Liberty93 m · fold 20
Eiffel Tower330 m · fold 22
Burj Khalifa828 m · fold 23
Mount Everest8.8 km · fold 27
Space Station orbit400.0 km · fold 32
The Moon384,400 km · fold 42
The Sun149.6 million km · fold 51
Fold0 / 52
Stack thickness0.1 mm
Slide to fold 13 to pass knee height.
Drive the slider: fold 41 first crosses halfway at 57.2%, then fold 42 adds the entire fold-41 stack again.
Folded paper doubles in thickness with each fold; typical 20-pound paper is about 0.1 mm thick; Gallivan derived the fold-limit loss function in 2001 and set the 12-fold record in January 2002.
The physical fold record is 12 folds, set by Britney Gallivan on 27 January 2002 with a 1,219 m tissue sheet; her derived equations relate paper length, thickness and possible folds.
The educational anchor that 42 idealized folds reach the Moon, which this page recomputes exactly and extends with a driven fold-count ladder.
official-doc — checked 2026-07-20.
Scope: The page computes the idealized model t(n) = 0.1 mm × 2ⁿ with no compression and no physical fold limit. Every stated milestone — knee height, human height, blue whale, Statue of Liberty, Eiffel Tower, Burj Khalifa, Everest, ISS altitude, Earth–Moon, Earth–Sun — is the first fold whose thickness crosses the landmark's nominal height, recomputed independently on 2026-07-20.
Does not prove: This is not a claim about physical paper: the verified fold record is 12 (Britney Gallivan, 2002), and the Gallivan loss function bounds real folding. It is not evidence that any specific real process grows exponentially. Landmark heights and the lunar distance are nominal mean values, not precise measurements.
If a quantity doubles per step, then estimate with ×1000 per 10 steps before trusting a linear guess.
Compound interest
Money doubling roughly every 9 years at 8% is the same ladder: the rule of 72 converts a rate into a doubling time, and the last doubling adds as much as all previous ones combined.
Viral spread
An outbreak doubling every few days looks manageable for weeks and then isn't: the case count at the final doubling equals the entire history before it.
Capacity planning
Traffic that doubles each quarter needs a thousand times today's capacity in ten quarters; a linear headroom plan fails at fold 41, not fold 1.