Number Theory & SequencesFree Tool

Paperfolding Sequence

Provided byOnline Math Toolsonlinetools.com/math

Generates the paperfolding (dragon curve) sequence.

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About this tool

Calculates the terms of the paperfolding sequence, which is a mathematical sequence derived from the process of repeatedly folding a piece of paper and observing the resulting creases. The tool generates this unique binary pattern by following established rules governing how the folds interact to create specific patterns. Users input a desired number of steps, and the program then outputs the corresponding sequence of digits that models the growth of the dragon curve structure. Researchers in mathematics, students studying combinatorics, and computer science enthusiasts utilize this calculator for exploring fractal geometry and number theory concepts. It provides an accessible way to visualize and analyze complex patterns found within simple physical actions.

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