# Fibonacci word fractal generator

## World's simplest math tool

Free online Fibonacci word fractal generator. Just press a button and you'll get a Fibonacci word curve. There are no ads, popups or nonsense, just an awesome Fibonacci word fractal generator. Press a button – get a Fibonacci word fractal. Created by math nerds from team Browserling.
Announcement Check out our new project!
We just launched a new site – Online GIF Tools – a collection of utilities for quickly editing GIFs. Check it out!
Fractal Size and Steps
Fibonacci Width
Fibonacci Height
How many iterative steps to make?
Fractal Colors
Color for background.
Color for Fibonacci word curve.
Curve
Thickness of Fibonacci word line.
Starting direction of the fractal.
If you skip the last symbol, the Fibonacci word fractal becomes more symmetrical.
Fibonacci word fractal generator tool What is a fibonacci word fractal generator?
This tool draws Fibonacci word fractals. The Fibonacci word fractal is a self-similar plane curve that's generated from Fibonacci words. The rules for drawing the Fibonacci word curve are very simple – if the current Fibonacci word digit is 1, draw a segment, otherwise rotate 90 degrees. Fibonacci words themselves are constructed by concatenating previous two words. The first two words are 0 and 1. As a result, the Fibonacci word curve at every step of iteration is self-similar to previous two iterations. With each step, the curve gets twice as long so we added a bunch of options so you can visualize it better. You have an option to set arbitrary width and height of the fractal, change the thickness and color of the curve, and add padding around the fractal borders. You can also change the background color and set the starting direction of the fractal. Additionally, you can drop the last curve segment to make the fractal more symmetrical. Mathabulous!
Fibonacci word fractal generator examples Click to use
Draw 16 Iterations of a Fibonacci Word Fractal
This example generates a white Fibonacci word curve on a dark red 400x400 background. It sets the curve starting direction to north (up), changes curve width to 3px and adds 15px of padding around the fractal.
Required options
These options will be used automatically if you select this example.
Fibonacci Width
Fibonacci Height
How many iterative steps to make?
Color for background.
Color for Fibonacci word curve.
Thickness of Fibonacci word line.
Starting direction of the fractal.
If you skip the last symbol, the Fibonacci word fractal becomes more symmetrical.
Generate a Stretched Fibonacci Word Curve
In this example we draw a horizontally-stretched Fibonacci word fractal. The width is set to 800px and height is set to 500px. It uses 15 iterations here and removes the last curve segment for a more symmetric look.
Required options
These options will be used automatically if you select this example.
Fibonacci Width
Fibonacci Height
How many iterative steps to make?
Color for background.
Color for Fibonacci word curve.
Thickness of Fibonacci word line.
Starting direction of the fractal.
If you skip the last symbol, the Fibonacci word fractal becomes more symmetrical.
Draw a Symmetrical Fibonacci Word Fractal
This example generates a Fibonacci word curve using 20 iterations. The starting direction is set to east (left) and it uses green and black colors for the fractal drawing. This fractal shows mirror symmetry along the middle.
Required options
These options will be used automatically if you select this example.
Fibonacci Width
Fibonacci Height
How many iterative steps to make?
Color for background.
Color for Fibonacci word curve.
Thickness of Fibonacci word line.
Starting direction of the fractal.
If you skip the last symbol, the Fibonacci word fractal becomes more symmetrical.
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!
All math tools
Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!
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 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.
Generate Champernowne Digits
Generate Champernowne constant's digits.
Find n-th Champernowne Digit
Calculate the n-th digit of Champernowne constant.
Decode a Look-and-say Sequence
Perform the inverse operation on a look-and-say sequence.
Calculate p-adic expansions of arbitrary numbers.
Generate Pandigital Number Sequence
Create a list of pandigital 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.
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.
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.
Generate a Padovan equiliteral triangles 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.