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 math nerds from team Browserling.

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 math nerds from team Browserling.

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!

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!

Click to try!

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### Draw a 5th Order Sierpinski Hexagon

**Required options**

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.

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.

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### Sierpinski Hexaflake with an Extra Hexagon in the Center

**Required options**

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.

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.

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### Filled Sierpinski Hexflake

**Required options**

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.

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.

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://onlinetools.com/math/generate-sierpinski-hexagon?width=450&height=500&iterations=5&form-1=true&background-color=%2523020c7d&line-segment-color=black&fill-color=%252304fff7&line-width=1&padding=5&direction=up

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Generate Champernowne constant's digits.

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

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Replace Matrix Elements

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Decode a Rotation Matrix

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Generate a Custom Matrix

Generate a matrix with specific properties and elements.

Generate a Dense Matrix

Generate a matrix with very few zero elements.

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Generate a matrix with very few non-zero elements.

Generate a Singular Matrix

Generate a degenerate matrix with a zero determinant.

Generate a Zeros Matrix

Generate a matrix with all 0's as elements.

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Generate a matrix with all 0's as elements.

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Generate a matrix with 0's and 1's as elements.

Generate a Square Matrix

Generate a matrix with n rows and n columns (n×n matrix).

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Generate a matrix with symmetric elements along the diagonal.

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Generate an upper-triangular or lower-triangular matrix.

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Generate a matrix with elements placed only on the diagonal.

Generate an Orthogonal Matrix

Generate a matrix with orthogonal rows and columns.

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Multiply all matrix elements by a number.

Multiply a Matrix by a Vector

Multiply a matrix by a column vector.

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Multiply a row vector by a matrix.

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Create m or n vectors from an m×n matrix (from rows or cols).

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Determine if a matrix is degenerate.

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Find the sum of each row of a matrix.

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Find the sum of each column of a matrix.

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Find the sum of all matrix elements.

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Find the product of all matrix elements.

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Delete vector components.

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Prettify a Vector

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Reformat a Vector

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Create multiple copies of the same vector.

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Increment vector components.

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Increment vector components.

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Rotate a vector by any angle.

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Shrink or enlarge a vector by a constant factor.

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Find the angle that's formed between two vectors.

Set Vector Angle

Create pairs of vectors with a specific angle.

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Create a unit vector of length one from any given vector.

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Create one or more random vectors of any length.

Generate a Custom Vector

Create custom vectors with specific components.

Generate a Dense Vector

Create a vector with very few zero components.

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Create a vector all components equal to zero.

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Create a vector all components equal to one.

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Create one or more random vectors of length one.

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Create pairs of antiparallel vectors.

Generate Parallel Vectors

Create pairs of parallel vectors.

Generate Perpendicular Vectors

Create pairs of perpendicular vectors.

Generate Orthogonal Vectors

Create pairs of orthogonal vectors.

Generate Orthonormal Vectors

Create pairs of perpendicular unit vectors of length one.

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Calculate L₁, L₂, L₃, L₄, L₅, and other vector norms.

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Calculate the length of a vector.

Set Vector Length

Create vectors with a specific length.

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Calculate the scalar product of two vectors.

Set Vector Dot Product

Find two vectors with a specific scalar product value.

Find Vector Cross Product

Calculate the cross product of two vectors.

Set Vector Cross Product

Find two vectors with a specific cross product value.

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Calculate the mixed product of three vectors.

Find Vector Triple Product

Calculate the vector triple product (back of the cab).

Find Scalar Quadruple Product

Calculate the scalar quadruple product of four vectors.

Find Vector Quadruple Product

Calculate the vector product of four vectors.

Mix Vectors

Mix the components of multiple vectors.

Join Vectors

Concatenate two or more vectors.

Add Vectors

Find the sum of two or more vectors.

Multiply Vectors

Multiply two or more vectors.

Multiply Vector by Constant

Multiply all vector components by a scalar value.

Find Vector Component Sum

Find the sum of all vector components.

Find Vector Component Product

Find the product of all vector components.

Find Vector Dimensions

Find the number of components in a vector.

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Calculate the sine of an angle.

Visualize Sine

Draw the sine function.

Calculate Arcsine

Calculate the arcsine of an angle.

Visualize Arcsine

Draw the arcsine function.

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Calculate the cosine of an angle.

Visualize Cosine

Draw the cosine function.

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Calculate the arccosine of an angle.

Visualize Arccosine

Draw the arccosine function.

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Calculate the tangent of an angle.

Visualize Tangent

Draw the tangent function.

Calculate Cotangent

Calculate the cotangent of an angle.

Visualize Cotangent

Draw the cotangent function.

Calculate Cosecant

Calculate the cosecant of an angle.

Visualize Cosecant

Draw the cosecant function.

Calculate Secant

Calculate the secant of an angle.

Visualize Secant

Draw the secant function.

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Visualize all trigonometric functions at once.

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Generate an Archimedean spiral curve.

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Generate a Cornu spiral curve (polynomial spiral).

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Generate a Fibonacci spiral curve.

Draw a Theodorus Spiral

Generate a square root spiral.

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Generate a parabolic spiral curve.

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Generate a drawing of Fibonacci rectangles.

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Generate a Fibonacci flower head.

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Generate a Padovan equiliteral triangles fractal.

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Generate an Apollonian gasket fractal.

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Generate a Mandelbrot fractal.

Draw a Julia Fractal

Generate a Julia fractal.

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Generate a Rauzy fractal.

Draw Blancmange Fractal Curve

Generate a Blancmange fractal.

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Generate a Weierstrass fractal.

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Generate a Minkowski Question-mark fractal.

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

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Generate a Dirichlet's function.

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Convert numbers as English text to actual digits.

Convert Numbers to Words

Convert numbers to written English text.

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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.

Rewrite a Number as a Product

Create a product that multiplies up to the given number.

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Draw an n×m multiplication table.

Generate an Addition Table

Draw an n×m addition table.

Generate a Division Table

Draw an n×m division table.

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Draw a pie chart and show relative sizes of data.

Draw a Bar Chart

Draw a bar chart and visualize data.

Draw a Column Chart

Draw a column chart and visualize data.

Draw a Line Chart

Draw a line chart and visualize data.

Draw an Area Chart

Draw an area chart and visualize data.

Visualize Percentage

Draw a chart that shows percentage.

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Fill a plane by convex regular polygons.

Flip a Coin

Toss a coin and get head or tails.

Roll a Dice

Throw a dice and get a number on its side.

Generate a Maze

Draw a maze of any size and complexity.

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We're Browserling — a friendly and fun cross-browser testing company powered by alien technology. At Browserling we love to make people's lives easier, so we created this collection of math tools. Unlike many other math tools that require advanced math knowledge, we made our tools as simple as possible. All tools have the same user interface and they are enjoyed by millions of users every month. Our math tools are actually powered by our web developer tools that we created over the last couple of years. Check them out!

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