Sierpinski triangle generator
Generate the Sierpinski triangle two ways: by recursive subdivision, which removes the central triangle at every level, or by the chaos game, where thousands of random midpoint jumps make the fractal emerge from pure randomness. Choose the depth or iteration count and a colour palette.
Related tools
All Geometry tools →Sierpinski triangle generator is free to use as often as you like, directly from this page. It covers by recursive subdivision, which removes the central triangle at every level, or by the chaos game, where thousands of random midpoint jumps make the fractal emerge from pure randomness. Choose the depth or iteration count and a colour palette — adjust any of them and the result follows immediately.
How to use it
- Open the tool — no signup or install needed.
- Enter your input or adjust the available options.
- Get your result instantly, then copy or download it.
Frequently asked questions
What is Sierpinski triangle generator?
Generate the Sierpinski triangle two ways: by recursive subdivision, which removes the central triangle at every level, or by the chaos game, where thousands of random midpoint jumps make the fractal emerge from pure randomness. Choose the depth or iteration count and a colour palette.
What does a concrete case look like?
n = 3 → 27 — the tool shows every step in between, not just the final figure.
What does it take into account?
It factors in by recursive subdivision, which removes the central triangle at every level, or by the chaos game, where thousands of random midpoint jumps make the fractal emerge from pure randomness. Choose the depth or iteration count and a colour palette. Change any of them and the output follows immediately.
When would I actually use this?
Homework and site work alike: how much paint a wall takes, how much water a tank holds, whether a corner is square — and, on the coordinate side, the slope between two points, the distance across a plan, the midpoint of a span.
What is the most common mistake?
Mixing units inside one shape. Entering a length in centimetres and a width in metres gives an area wrong by a factor of a hundred, and the result looks perfectly plausible.
How is Sierpinski triangle generator different from Angle Bisector Calculator (triangle)?
They sit next to each other but answer different questions: Angle Bisector Calculator (triangle) is the one to open when you need it to enter the three sides or the three vertices and get the length of each internal angle bisector, the incenter, the inradius, and the exact point where every bisector cuts the opposite side. The angle bisector theorem is the heart of it: the bisector splits the opposite side in the ratio of the two adjacent sides. The triangle inequality is checked before anything is computed, and the triangle is drawn with its three bisectors. Pick whichever matches what you're starting from — both are free.
Is there a tool for the next step?
Equilateral triangle calculator is the closest one after this: Compute the area, height and perimeter of an equilateral triangle from its side.
What else is worth having open alongside it?
General Triangle Solver and Triangle area calculator (Heron's formula) — they come up in the same task often enough to be worth a second tab.
Where do the figures come from?
The formulas are the classical ones and the results are exact to the precision shown — geometry does not change with the year or the country, so nothing here needs updating.