# Paperfolding sequence generator

## World's simplest math tool

Free online regular paperfolding sequence (also known as dragon curve) generator. Just specify how many dragon curve numbers you need and you'll automatically get that many sequence elements. There are no ads, popups or nonsense, just an awesome dragon curve calculator. Press button, get paperfolding sequence. Created by math nerds from team Browserling.

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Paperfolding sequence generator tool
What is a paperfolding sequence generator?

This tool calculates regular paperfolding sequence numbers. This sequence is also known as dragon curve sequence and you can use it to generate the dragon fractal. Dragon curve sequence starts with 1 and each next term is a previous term with 1 and 0 inserted before and after each digit. You can customize how many sequence numbers you need, which sequence element to start with, and which character to use for separating sequence elements. Mathabulous!

Paperfolding sequence generator examples
Click to use

Generate Six Paperfolding Numbers

This example calculates first 6 dragon curve numbers starting from 1st.

1
110
1101100
110110011100100
1101100111001001110110001100100
110110011100100111011000110010011101100111001000110110001100100

**Required options**

Start generating paperfolding
numbers from this element.

How many paperfolding
numbers to generate?

Calculate Five Dragon Curve Numbers

This example generates 5 paperfolding elements starting from the 3rd and changes separator between numbers to a pipe symbol.

1101100 | 110110011100100 | 1101100111001001110110001100100 | 110110011100100111011000110010011101100111001000110110001100100 | 1101100111001001110110001100100111011001110010001101100011001001110110011100100111011000110010001101100111001000110110001100100

**Required options**

Start generating paperfolding
numbers from this element.

How many paperfolding
numbers to generate?

Paperfolding element separator.
(Newline \n by default.)

Pro tips
Master online math tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinemathtools.com/generate-paperfolding-sequence?&start=1&count=6

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