# Hexadragon curve generator

## World's simplest math tool

Free online hexadragon curve generator. Just press a button and you'll get a hexadragon fractal. There are no ads, popups or nonsense, just an awesome hexdragon fractal generator. Press a button – get a hexdragon. Created by math nerds from team Browserling.

announcement
heads up!

We just launched a new site – Online Integer Tools – a collection of utilities for crunching integers. Check it out!

*fullscreen*

*fullscreen_exit*

A link to this tool, including input, options and all chained tools.

Can't convert.

Hexadragon curve generator tool
What is a hexadragon curve generator?

This tool draws a hexadragon fractal. The hexdragon fractal is drawn from six terdragons. There are two ways to arrange them. In the first case, all dragons start from a center point and each one of them is rotated by 60 degrees. In the second case, each new terdragon is drawn from the tail of the previous one, also rotated by 60 degrees. For both cases we can adjust the size of the hexdragon curve and the number of steps of the iterations. We also have added an option to control color of each of the six dragons plus change the canvas color. Each dragon is drawn using a set of lines and you can adjust their thickness. You can also all empty space around the fractal, and rotate six terdragons in four directions. Mathabulous!

Hexadragon curve generator examples
Click to use

Generate a Hexadragon Curve in Blue Hues

This example draws a hexdragon curve in six shades of blue, moving from light blue to dark blue color. All tetradragons start in one central point and we add 10 extra pixels around their tails so that they don't touch the frame of the fractal. We use 11 recursive iterations to generate the fractal and draw it on a 500x500 black background.

**Required options**

Hexadragon width.

Hexadragon height.

Recursive depth of the hexdragon.

Generate all dragons from
one central point.

Color of the canvas.

Color of the 1st dragon line.

Color of the 2nd dragon line.

Color of the 3rd dragon line.

Color of the 4th dragon line.

Color of the 5th dragon line.

Color of the 6th dragon line.

Hexadragon curve line width.

Clear the space around the
hexadragon.

Draw a Rainbow Hexadragon

This example generates a circle of dragons using rainbow colors. Here we're using only 5 iterations to draw the final fractal and we enable connect-tails option. As we're using line thickness of 3px we can clearly see how the dragons are made of individual line segments. Also a small space around a curve (5 pixels) is drawn for padding and the dimensions of the image are 350 by 350 pixels.

**Required options**

Hexadragon width.

Hexadragon height.

Recursive depth of the hexdragon.

Draw a circle of dragons,
connecting them with tails.

Color of the canvas.

Color of the 1st dragon line.

Color of the 2nd dragon line.

Color of the 3rd dragon line.

Color of the 4th dragon line.

Color of the 5th dragon line.

Color of the 6th dragon line.

Hexadragon curve line width.

Clear the space around the
hexadragon.

Draw a Hexdragon Virus

In this example we use a single color for all six hexadragons. As a result we get a virus-like dragon fractal. The canvas size is 600x600px and we use a 9th order curve.

**Required options**

Hexadragon width.

Hexadragon height.

Recursive depth of the hexdragon.

Generate all dragons from
one central point.

Color of the canvas.

Color of the 1st dragon line.

Color of the 2nd dragon line.

Color of the 3rd dragon line.

Color of the 4th dragon line.

Color of the 5th dragon line.

Color of the 6th dragon line.

Hexadragon curve line width.

Clear the space around the
hexadragon.

Draw Six Terdragons Connected by Tails

This example makes dragon curves touch each other's tails. It uses the same colors for opposite dragons so we use only three colors (yellow, blue and bright pink) for six dragons. We set a 2-pixel line width, 5-pixel padding, and use 9 recursions on a rectangular canvas with size of 700x600px.

**Required options**

Hexadragon width.

Hexadragon height.

Recursive depth of the hexdragon.

Draw a circle of dragons,
connecting them with tails.

Color of the canvas.

Color of the 1st dragon line.

Color of the 2nd dragon line.

Color of the 3rd dragon line.

Color of the 4th dragon line.

Color of the 5th dragon line.

Color of the 6th dragon line.

Hexadragon curve line width.

Clear the space around the
hexadragon.

Draw a Hexadragon around a Hexadragon

This example draws a circular hexadragon but because it uses a single color for all of the dragons another hexadragon forms in the center. As a result you get two hexadragons total (six around and six inside).

**Required options**

Hexadragon width.

Hexadragon height.

Recursive depth of the hexdragon.

Draw a circle of dragons,
connecting them with tails.

Color of the canvas.

Color of the 1st dragon line.

Color of the 2nd dragon line.

Color of the 3rd dragon line.

Color of the 4th dragon line.

Color of the 5th dragon line.

Color of the 6th dragon line.

Hexadragon curve line width.

Clear the space around the
hexadragon.

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-hexadragon-curve?&width=500&height=500&iterations=11&connect-center=true&background-color=black&dragon-1-color=%2399fff0&dragon-2-color=%2366dbff&dragon-3-color=%2304a7ff&dragon-4-color=%230479ff&dragon-5-color=%230443ff&dragon-6-color=%230201a6&line-width=1&padding=10&direction=left

All math tools

Quickly visualize rules of an Lindenmayer rewrite system.

Quickly generate a list of primes.

Quickly generate a list of Fibonacci numbers.

Quickly generate a list of extended, negative Fibonacci numbers.

Quickly generate a list of Fibonacci primes.

Quickly generate a list of Fibonacci words.

Quickly generate a list of Tribonacci words.

Quickly generate a list of Lucas numbers.

Quickly generate a list of extended, negative Lucas numbers.

Quickly generate a list of Lucas numbers that are also prime numbers.

Quickly create a list of excessive numbers.

Quickly create a list of deficient numbers.

Quickly generate a list of perfect numbers.

Quickly create a list of slightly defective numbers.

Quickly generate random numbers.

Quickly generate a list of look-and-say sequence numbers.

Quickly create a list of Prouhet-Thue-Morse sequence values.

Quickly create a list of dragon curve sequence values.

Quickly create a list of Oldenburger-Kolakoski sequence values.

Quickly create a list of Gijswijt sequence values.

Quickly create a list of Golay-Rudin-Shapiro sequence values.

Quickly create a list of Baum-Sweet sequence values.

Quickly create a list of Moser-de Bruijn sequence values.

Quickly generate a list of even numbers.

Quickly generate a list of odd numbers.

Quickly find all factors of the given integer.

Quickly decompose integers into their prime factors.

Quickly find out if the given integer is a prime number.

Quickly check if the given number is a Fibonacci number

Quickly generate π constant's digits to arbitrary precision.

Quickly calculate Euler constant's digits to arbitrary precision.

Quickly calculate φ constant's digits to arbitrary precision.

Quickly calculate factorials.

Quickly create a triangluar array of binomial coefficients.

Quickly create a matrix with random elements.

Quickly create a unit matrix with ones along the diagonal.

Quickly find the transpose of a matrix.

Quickly find the inverse of a matrix.

Quickly calculate the determinant of a matrix.

Quickly find the sum of two or more matrices.

Find the difference of two or more matrices.

Quickly find the product of matrices.

Quickly draw a Hilbert space-filling curve.

Quickly draw a Heighway triangle fractal.

Quickly draw a Harter-Heighway space-filling dragon fractal.

Quickly draw a Davis-Knuth dragon fractal.

Quickly draw a triple dragon fractal.

Quickly draw a quaddragon fractal.

Quickly draw a hexdragon curve.

Quickly draw a Peano space-filling fractal.

Quickly draw a Moore space-filling curve.

Quickly draw a Peano-Gosper space-filling curve.

Quickly draw a Sierpinski arrowhead fractal curve.

Quickly draw a Sierpinski sieve fractal.

Quickly draw a Sierpinski closed plane fractal curve.

Quickly draw a Sierpinski carpet fractal.

Quickly draw a Sierpinski maze fractal.

Quickly draw a Sierpinski square fractal.

Quickly draw a Sierpinski pentaflake fractal.

Quickly draw a Sierpinski hexaflake fractal.

Quickly draw a Sierpinski n-gon fractal.

Quickly draw a Koch island fractal curve.

Quickly draw a Koch antisnowflake fractal.

Quickly draw a Koch triangle fractal.

Quickly draw a Koch n-gon fractal.

Quickly draw a quadratic Koch flake fractal.

Quickly draw a Cesaro fractal.

Quickly draw a Cesaro n-gon fractal.

Quickly draw a triflake fractal.

Quickly draw a quadric cross fractal.

Quickly draw a self-similar Levy C fractal curve.

Quickly draw a Vicsek snowflake fractal.

Quickly draw a T-square fractal.

Quickly draw a Cantor set fractal.

Quickly draw an asymmetric Cantor set fractal.

Quickly draw a generalized Cantor set fractal.

Quickly draw an ε-Cantor set fractal.

Quickly draw a Cantor dust fractal.

Quickly draw a Pythagoras tree fractal.

Quickly draw a Fibonacci word fractal.

Quickly draw an H-tree fractal.

Quickly draw a V-tree fractal.

Quickly generate a Morton Z-order fractal curve.

Coming soon
These math tools are on the way

Find n-th e Digit

Calculate the n-th digit of Euler's number.

Find n-th Golden Ratio Digit

Calculate the n-th digit of Golden Ratio.

Find n-th Pi Digit

Calculate the n-th digit of pi constant.

Calculate Pi Digit Sum

Find the sum of pi digits.

Calculate e Digit Sum

Find the sum of e digits.

Calculate Golden Ratio Digit Sum

Find the sum of Golden Ratio digits.

Decode a Look-and-say Sequence

Perform the inverse operation on a look-and-say sequence.

Generate P-adic Expansions

Calculate p-adic expansions of arbitrary numbers.

Generate Stanley Number Sequence

Create a list of Stanley numbers.

Generate Bell Number Sequence

Create a list of Bell numbers.

Generate Carmichael Number Sequence

Create a list of Charmichel numbers.

Generate Catalan Number Sequence

Create a list of Catalan numbers.

Generate Composite Number Sequence

Create a list of composite numbers.

Generate Secant Number Sequence

Create a list of secant numbers.

Generate Golomb Number Sequence

Create a list of Golomb-Silverman numbers.

Generate Euler's Totient Number Sequence

Create a list of Euler's phi numbers.

Generate Juggler Number Sequence

Create a list of juggler numbers.

Generate Lucky Number Sequence

Create a list of lucky numbers.

Generate Motzkin Number Sequence

Create a list of motzkin numbers.

Generate Padovan Number Sequence

Create a list of Padovan numbers.

Generate Pseudoperfect Number Sequence

Create a list of semiperfect numbers.

Generate Ulam Number Sequence

Create a list of Ulam numbers.

Generate Weird Number Sequence

Create a list of weird numbers.

Generate Superperfect Number Sequence

Create a list of superperfect numbers.

Partition a Number

Find all partitions of the given integer.

Generate Partition Number Sequence

Create a list of Partition function numbers.

Generate Arithmetic Progression

Create an arithmetic sequence of numbers.

Generate Geometric Progression

Create a geometric sequence of numbers.

Generate Polynomial Progression

Create a polynomial sequence of numbers.

Generate Natural Number Sequence

Create a list of natural numbers.

Generate Powers of Two

Create a list of numbers of powers of two.

Generate Powers of Ten

Create a list of numbers of powers of ten.

Generate a Sparse Matrix

Generate a matrix with very few non-zero elements.

Multiply a Matrix by a Scalar

Multiply all matrix elements by a number.

Check if a Matrix is Singular

Determine if a matrix is degenerate.

Find the Co-factor Matrix

Given a matrix, find its cofactor matrix.

Find the Adjugate Matrix

Given a matrix, find its adjunct.

LU Factor a Matrix

Decompose a matrix into LU factors.

Find Matrix Eigenvalues

Find eigenvalues of a matrix.

Prettify a Matrix

Beautify a matrix by neatly aligning all its columns.

Reformat a Matrix

Convert matrix in one format to another format.

Draw a Fibonacci Spiral

Generate a Fibonacci spiral curve.

Draw Fibonacci Rectangles

Generate a drawing of Fibonacci rectangles.

Draw a Fibonacci Seed Head

Generate a Fibonacci flower head.

Draw a Padovan Fractal

Generate a Padovan equiliteral triangles fractal.

Draw a Apollonian Gasket

Generate an Apollonian gasket fractal.

Draw a Mandelbrot Fractal

Generate a Mandelbrot fractal.

Draw a Julia Fractal

Generate a Julia fractal.

Draw a Rauzy Fractal

Generate a Rauzy fractal.

Draw Blancmange Fractal Curve

Generate a Blancmange fractal.

Draw Weierstrass Function

Generate a Weierstrass fractal.

Draw Minkowski Question-mark Curve

Generate a Minkowski Question-mark fractal.

Draw Thomae's Function

Generate a Thomae's function (also known as popcorn or raindrop function).

Draw Dirichlet's Function

Generate a Dirichlet's function.

Draw a Gabriel's Horn

Draw a geometric figure with infinite surface area and finite volume.

Convert Words to Numbers

Convert numbers as English text to actual digits.

Convert Numbers to Words

Convert numbers to written English text.

Convert Decimal Notation to Scientific Notation

Convert numbers written in decimal form to scientific form.

Convert Scientific Notation to Decimal Notation

Convert numbers written in scientific form to decimal form.

Round Numbers Up

Apply ceil operation to numbers.

Round Numbers Down

Apply floor operation to numbers.

Analyze Numbers

Count how many times each number appears.

Rewrite a Number as a Sum

Create a sum that adds up to the given number.

Generate a Multiplication Table

Draw an n×m multiplication table.

Flip a Coin

Toss a coin and get head or tails.

Roll a Dice

Throw a dice and get a number on its side.

Subscribe!
Never miss an update

Cool!

Notifications
We'll let you know when we add this tool

Cool!