onlinemathtools logo

T-square fractal generator

World's simplest math tool

Free online T-square fractal generator. Just press a button and you'll automatically get a T-square curve. There are no ads, popups or nonsense, just an awesome T-square generator. Press a button, get a T-square. 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!
Size and Iterations
T-square fractal width
T-Square fractal height
How many fractal iterations?
T-square Colors
T-square background color.
T-square curve color.
T-square inner fill color.
Curve
Thickness of curve around fractal.
Padding around the fractal edges.
T-square fractal generator tool What is a t-square fractal generator?
This tool draws T-square fractals also called T-square curves. A T-square curve is similar to the Sierpinski carpet but here with each new iteration new squares are placed at every convex corner of the previous image. You can set the number of iterations to use for generating the final T-square fractal, its width and height, padding and line width around its edges. To make the fractal pretty and create your own custom T-curve, you can also by choose color palette for the curve line, background and filling. Mathabulous!
T-square fractal generator examples Click to use
Generate an Orange T-square Fractal
This example draws a 4th order T-square curve. It changes the width of the curve to 6px and sets the T-square size to 400x400px. It uses orange for inner fill color.
Required options
These options will be used automatically if you select this example.
T-square fractal width
T-Square fractal height
How many fractal iterations?
T-square background color.
T-square curve color.
T-square inner fill color.
Thickness of curve around fractal.
Padding around the fractal edges.
Draw Only the Outline of a T-square Curve
In this example the background color and fill color are the same. This way we only draw the contour of the T-square fractal.
Required options
These options will be used automatically if you select this example.
T-square fractal width
T-Square fractal height
How many fractal iterations?
T-square background color.
T-square curve color.
T-square inner fill color.
Thickness of curve around fractal.
Padding around the fractal edges.
Draw 7 Iterations of a T-square Fractal
This example generates a two-color T-square curve using 7 iterations. It sets line width to 0 and as a result only two colors are used. The dimensions of this T-fractal are set to 522x522 pixels.
Required options
These options will be used automatically if you select this example.
T-square fractal width
T-Square fractal height
How many fractal iterations?
T-square background color.
T-square curve color.
T-square inner fill color.
Thickness of curve around fractal.
Padding around the fractal edges.
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-t-square-curve?&width=400&height=400&iterations=4&background-color=%23fffdcf&line-segment-color=%236b2000&fill-color=%23ff9901&line-width=6&padding=5
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.