onlinemathtools logo

Triflake curve generator

World's simplest math tool

Free online triflake fractal generator. Just press a button and you'll get three anti-stars. There are no ads, popups or nonsense, just an awesome triflake curve generator. Press a button – get a triflake fractal. Created by mathematicians for mathematicians.
announcement heads up!
We just launched a new site — Online IMAGE Tools — utilities for working with all image formats. Check it out!
Triflake Size and Iterations
Triflake curve width.
Triflake curve height.
Triflake fractal iterations.
Four Color Palettes
Canvas background color.
Antistar border color. (Only used if border thickness is set.)
Center star fill color.
Antistar fill color.
Thickness, Padding, Direction
Triflake border thickness.
Extra space around triflake.
Starting direction for drawing triflakes.
Triflake curve generator tool What is a triflake curve generator?
This tool draws triflake fractals. The triflake fractal is made out of three antisnowlakes that are connected together by their vertices. When they are connected in this way, a fourth fractal forms in the middle. It's the Kock snowflake fractal. You can better visualize all these fractals by changing the number of iterations for antistars and by setting the size of the entire fractal. You can use four colors to highlight triflakes, triflakes' border, background and the center Koch star. In the third option block you can customize fractal look further. You can choose the thickness of triflake border (or even remove it, if you set thickness to 0). You can increase the frame space around the fractal and you can select the drawing direction antisnowflakes. Mathabulous!
Triflake curve generator examples Click to use
Draw a Four Colored Triflake Fractal
This example uses four colors to generate the triflake fractal. Here we use a three pixel black contour line around the three snowflakes that have an orange fill. In the center we draw a yellow Koch star, and we use blue color for the square area that fractals are drawn on.
Required options
These options will be used automatically if you select this example.
Triflake curve width.
Triflake curve height.
Triflake fractal iterations.
Canvas background color.
Antistar border color. (Only used if border thickness is set.)
Center star fill color.
Antistar fill color.
Triflake border thickness.
Extra space around triflake.
Starting direction for drawing triflakes.
Generate a Triflake All in One Color
This example draws all four fractals (three antistars and center Koch star) using just one color. There is no line thickness, so no contour is drawn around the antistars. Also, the starting drawing direction is opposite of previous example, so the curve is drawn upside down.
Required options
These options will be used automatically if you select this example.
Triflake curve width.
Triflake curve height.
Triflake fractal iterations.
Canvas background color.
Antistar border color. (Only used if border thickness is set.)
Center star fill color.
Antistar fill color.
Triflake border thickness.
Extra space around triflake.
Starting direction for drawing triflakes.
Generate Three Anti-snowflakes
This example creates only the three antisnowflakes and doesn't fill the center. This is achieved by setting center fill color to the background color. This fractal is drawn on a rectangular canvas (550 by 500 pixels) and a large space around the edges of the image is added (20 pixels).
Required options
These options will be used automatically if you select this example.
Triflake curve width.
Triflake curve height.
Triflake fractal iterations.
Canvas background color.
Antistar border color. (Only used if border thickness is set.)
Center star fill color.
Antistar fill color.
Triflake border thickness.
Extra space around triflake.
Starting direction for drawing triflakes.
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-triflake-curve?&width=400&height=400&iterations=5&background-color=%230437e0&line-segment-color=black&snowflake-fill-color=%23fbff01&antisnowflake-fill-color=%23ff9500&line-width=3&padding=15&direction=right
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 generate a list of perfect 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 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 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 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 triflake fractal.
Quickly draw a quadratic Koch flake fractal.
Quickly draw a quadric cross fractal.
Quickly draw a Cesaro 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 Fibonacci word fractal.
Quickly draw an H-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.
Find Prime Factors
Given a number, factorize it and find its prime factors.
Test if a Number is a Prime
Find out if the given number is a prime number.
Test if a Number is a Fibonacci Number
Find out if the given number is a Fibonacci number.
Decode a Look-and-say Sequence
Perform the inverse operation on a look-and-say sequence.
Generate a Moser-de Bruijn Sequence
Create a list of Moser-de Bruijn sequence values.
Generate Abundant Number Sequence
Create a list of excessive 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 Deficient Number Sequence
Create a list of deficient numbers.
Generate Secant Number Sequence
Create a list of secant numbers.
Generate Even Number Sequence
Create a list of even numbers.
Generate Odd Number Sequence
Create a list of odd numbers.
Multiply a Matrix by a Scalar
Multiply all matrix elements by a number.
Generate a Random Matrix
Create a matrix with random elements.
Generate an Identity Matrix
Create a matrix with ones along the diagonal.
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.
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.