onlinemathtools logo

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.
sneak preview sssshhhhh
We're working on a new site – Online Text Tools – utilities for text processing. Check it out!
Sierpinski Hexaflake Shape
Draw a Sierpinski hexagon with an empty center.
Create a fractal with an extra hexagon in the center.
Draw a fractal, completely filling it with hexagons.
Hexaflake Size and Iterations
Hexaflake width.
Hexaflake height.
How many times should we split each hexagon into smaller hexagons? (Recursive iterations.)
Colors, Contour, Frame, Direction
Hexaflake background color.
Hexagon contour color.
Hexagon fill color.
Hexagon contour thickness.
Extra padding around hexagons.
Choose the initial movement direction of the pen.
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.
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
These options will be used automatically if you select this example.
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.
Choose the initial movement direction of the pen.
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.
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
These options will be used automatically if you select this example.
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.
Choose the initial movement direction of the pen.
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.
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
These options will be used automatically if you select this example.
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.
Choose the initial movement direction of the pen.
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
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 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 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.