# Sierpinski hexagon generator

## World's simplest math tool

Free online Sierpinski hexagon fractal generator. Just press a button and you'll get a Sierpinski hexaflake. There are no ads, popups or nonsense, just an awesome hexaflake generator. Press a button – get a hexagon. Created by mathematicians for mathematicians.

love fractals?
check out fracal tools!

We just started working on Online Fractal Tools — utilities for doing fractaly things. Check it out!

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

Can't convert.

Sierpinski hexagon generator tool
What is a sierpinski hexagon generator?

This tool draws Sierpinski hexagons. The Sierpinski hexagon, also known as a Sierpinski hexflake or a 6gon is constructed as follows. First, we take an equilateral six-sided polygon. Then, in each corner we inscribe a new equilateral hexagon but now each side is one third of the original hexagon. We then delete the previous hexagon and recursively repeat this process. With each recursive iteration we draw hexagons of smaller size and because they are always located in the corners of the previous hexagon, we retain the shape and size of the initial starting figure. This process constructs regular hexaflakes but there are two more types of this fractal. Another way to draw the hexaflake is to do exactly the same as just described but place another hexagon of the same size in the center of original hexagon. You can try this if you select the semi-filled hexaflake option. The last type all the centers of new hexagons are filled with more hexagons. You can try this if yous elect fully-filled hexaflake option. Other options that you can change is depth of recursion, width and height of the fractal, padding around it, background, fill and border color, border width, and initial movement of drawing pen (change orientation of the fractal). Mathabulous!

Sierpinski hexagon generator examples
Click to use

Draw a 5th Order Sierpinski Hexagon

This example generates a fifth order Sierpinsky hexflake on a 450 by 500 pixels rectangle canvas. It also changes the drawing direction to up so the hexagon is rotated by 30 degrees. We also select the type of this hexflake to be regular, which means centers of the shape are left empty in all iterations. Additionally we set padding to 5 pixels and contour line's thickness to 1 pixel.

**Required options**

Draw a Sierpinski hexagon with
an empty center.

Hexaflake width.

Hexaflake height.

How many times should we
split each hexagon into
smaller hexagons?
(Recursive iterations.)

Hexaflake background color.

Hexagon contour color.

Hexagon fill color.

Hexagon contour thickness.

Extra padding around hexagons.

Sierpinski Hexaflake with an Extra Hexagon in the Center

This example draws three iterations of a Sierpinski hexagon but with an additional hexagon in the center. What you get is seven hexagons. This is accomplished by setting the semi-filled hexaflake option.

**Required options**

Create a fractal with an extra
hexagon in the center.

Hexaflake width.

Hexaflake height.

How many times should we
split each hexagon into
smaller hexagons?
(Recursive iterations.)

Hexaflake background color.

Hexagon contour color.

Hexagon fill color.

Hexagon contour thickness.

Extra padding around hexagons.

Filled Sierpinski Hexflake

In this example we choose the fully-filled hexagon option. What this does is it fills all the hexagons with another extra hexagon and you get hexagons in hexagons. This example sets curve contour thickness to zero and as a result only two colors are used – yellow for hexagons and black for the background.

**Required options**

Draw a fractal, completely
filling it with hexagons.

Hexaflake width.

Hexaflake height.

How many times should we
split each hexagon into
smaller hexagons?
(Recursive iterations.)

Hexaflake background color.

Hexagon contour color.

Hexagon fill color.

Hexagon contour thickness.

Extra padding around hexagons.

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-sierpinski-hexagon?&width=450&height=500&iterations=5&form-1=true&background-color=%23020c7d&line-segment-color=black&fill-color=%2304fff7&line-width=1&padding=5&direction=up

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.

Decode a Look-and-say Sequence

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

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 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.

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.

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.

Subscribe!
Never miss an update

Cool!

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

Cool!