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Julia set generator

Render Julia sets in your browser by iterating z → z² + c for a fixed complex parameter c. Each pixel is a starting point coloured by how fast it escapes to infinity. Try famous values — the Douady rabbit, San Marco dragon, dendrite — tune the iterations and palette, and zoom in.

Related tools

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Mandelbrot set explorerExplore the Mandelbrot set, the most famous fractal, rendered live in your browser. Each pixel is a complex number c; it iterates z → z² + c from zero and is coloured by how fast it escapes — black where it stays bounded. Pan by editing the centre, zoom in for the infinite detail of its boundary.Set theory calculatorCompute every core set operation at once from two, three or four sets: union, intersection, both differences, symmetric difference, complement, Cartesian product and power set. It also checks subset, equality and disjointness, and reports all the cardinalities — numbers, letters or words all work.3D Distance CalculatorCompute the distance between two points in space, with an isometric view, the Δx / Δy / Δz components and the midpoint.Angle Bisector Calculator (triangle)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.Annulus (ring) area calculatorCompute the area of a ring from its outer and inner radius.Aquarium volume calculatorCompute the water volume of a rectangular aquarium in litres and gallons.Area calculatorCompute the area of a rectangle, square, circle or triangle.Circle calculatorCompute the area, circumference and diameter of a circle from its radius.

Julia set generator is free to use as often as you like, directly from this page. It sits under Geometry in our catalogue, alongside Mandelbrot set explorer and Set theory calculator.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What is Julia set generator?

Render Julia sets in your browser by iterating z → z² + c for a fixed complex parameter c. Each pixel is a starting point coloured by how fast it escapes to infinity. Try famous values — the Douady rabbit, San Marco dragon, dendrite — tune the iterations and palette, and zoom in.

What does a concrete case look like?

c = −0,4 + 0,6i — the tool shows every step in between, not just the final figure.

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 Julia set generator different from Mandelbrot set explorer?

They sit next to each other but answer different questions: Mandelbrot set explorer is the one to open when you need it to explore the Mandelbrot set, the most famous fractal, rendered live in your browser. Each pixel is a complex number c; it iterates z → z² + c from zero and is coloured by how fast it escapes — black where it stays bounded. Pan by editing the centre, zoom in for the infinite detail of its boundary. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Set theory calculator is the closest one after this: Compute every core set operation at once from two, three or four sets: union, intersection, both differences, symmetric difference, complement, Cartesian product and power set. It also checks subset, equality and disjointness, and reports all the cardinalities — numbers, letters or words all work.

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.

Further reading

All guides →
ExplainerThe Pythagorean Theorem ExplainedIn a right triangle, a² + b² = c². Here's what the formula means, a worked example, how to find any side, and where it's used in real life.How-toHow to Calculate VolumeVolume is the space inside a shape. Here's how to find it for boxes, cylinders and spheres, and why keeping your units consistent is the whole game.How-toCircle: Circumference and AreaCircumference is 2πr, area is πr². Here's how radius, diameter and π fit together, both formulas worked through, and how not to mix them up.How-toHow to Calculate the Square Metres of a RoomFind a room's area by multiplying length by width. Here's the method for rectangular, L-shaped and round rooms, and why area drives your material orders.How-toHow Much Substrate Does an Aquarium Need? Depth, Weight and Grain SizeThe depth follows the job: a bare display, a planted tank whose roots need room, an under-gravel plate. Then comes the number people are unprepared for — substrate is what puts a filled tank past what a piece of furniture can hold. Plus why fine sand compacts and coarse gravel traps waste.ExplainerHow Many Fish Can a Tank Hold? The Inch-per-Gallon Rule Is WrongEvery stocking calculator implements a length-per-volume rule, and waste output scales with body mass, not length. A fish twice as long makes nearly five times the ammonia. Run through the tool's five methods, the same tank comes back holding anywhere from 6 to 12 fish.