Paper Folds to Thickness Calculator

Each fold doubles the thickness. That is the entire concept. Start with paper of thickness t. After 1 fold you have 2t. After 2 folds, 4t. After n folds, 2^n × t. The growth is exponential, which is why the numbers blow up fast and why you cannot fold a sheet of paper in half eight or nine times by hand.

The classic question. “If I could fold a sheet of paper 42 times, would it reach the moon?” The answer is yes. Standard 80 gsm copy paper is about 0.1 mm thick. After 42 folds:

• 2^42 × 0.1 mm = 4.4 trillion mm = 440,000 km

The Earth-to-Moon distance is 384,400 km. So you would actually overshoot the moon by about 56,000 km. Folding 42 times exists only as math — physically it is impossible past around 12 folds (and only with a long, thin strip and a lot of help).

Why the practical limit is around 7 to 8. As you fold, the paper has to bend through smaller and smaller radii at each crease while the stack gets thicker. After 7 folds you are trying to wrap a stack of 128 layers around a hinge that is itself 128 layers thick. The paper either tears at the crease or refuses to bend.

Britney Gallivan’s record. A high school student in 2002 broke the long-standing claim that paper could not be folded more than 7 times. Using a 4000-foot strip of toilet paper (custom made) and a parking lot, she got to 12 folds. She also derived the loss-function formula: minimum length L = (π × t / 6) × (2^n + 4)(2^n - 1) for single-direction folds. This shows why short paper hits the wall fast.

Paper thickness reference.

• Newspaper: 0.06 mm
• Copy paper (80 gsm): 0.1 mm
• Origami kami (60 gsm): 0.08 mm
• Cardstock (220 gsm): 0.25 mm
• Cereal box: 0.4 mm

For real origami, this is also why complex models use thin paper. A model with 50 layers in some areas needs paper thin enough that 50 × thickness still fits within a small finished shape. Tissue foil (back-coated tissue with foil) goes down to 0.03 mm and folds into tiny insects without becoming a brick.