Our fractal builder allows users to generate different types of fractals. Here are some of the fractals you can explore in our free onlne fractal generator:
Mandelbrot Set
The Mandelbrot set is one of the most famous fractals, discovered by Benoit Mandelbrot. It exhibits infinite complexity and self-similarity at different zoom levels. Generated using a simple quadratic function, it reveals breathtaking and intricate structures.
Julia Set
The Julia set is a family of fractals closely related to the Mandelbrot set, where each point in the Mandelbrot set represents a unique Julia fractal. It features swirling, complex patterns with distinct symmetrical properties. These fractals are widely used in mathematical visualization.
Burning Ship Fractal
The Burning Ship fractal is a variation of the Mandelbrot set that produces chaotic, flame-like structures. It is created using an absolute value transformation in the iteration formula, resulting in an explosive, ship-like shape. This fractal is known for its dramatic, jagged appearance.
Newton Fractal
The Newton fractal is generated using Newton’s method for finding complex roots of a function. It forms highly symmetrical, colorful patterns that vary based on the polynomial used. This fractal is an excellent visualization of numerical approximation techniques.
Multibrot Set
The Multibrot set is a generalization of the Mandelbrot set, where the exponent in the iteration formula is changed. It results in diverse fractal structures with different branching patterns. By modifying the exponent, users can generate visually distinct variations.
Tricorn Fractal
The Tricorn fractal, also called the Mandelbar, is a reflection of the Mandelbrot set across the real axis. It is generated by applying complex conjugation in the iteration process. This fractal introduces an additional level of symmetry and aesthetic uniqueness.
Phoenix Fractal
The Phoenix fractal is an advanced fractal that extends the Mandelbrot and Julia sets by incorporating recursive dependencies. It is characterized by intricate flame-like patterns and exhibits chaotic yet structured behavior. This fractal is a beautiful representation of dynamical systems.
Magnet Type I
The Magnet Type I fractal is derived from physics-based magnet equations. It generates highly detailed geometric patterns that resemble electromagnetic field distributions. The complex interplay of attraction and repulsion creates fascinating visual structures.
Lambda Fractal
The Lambda fractal emerges from lambda iteration functions, displaying a wide range of bifurcation structures. It is deeply connected to the study of chaos theory and nonlinear dynamics. This fractal is known for its elegant, tree-like branching formations.
Sinusoidal Fractal
The Sinusoidal fractal is based on sine wave functions, resulting in fluid, wave-like structures. It exhibits both smooth and intricate forms, making it popular in digital art and sound-based visualizations. This fractal combines mathematical precision with artistic beauty.
Perpendicular Mandelbrot
The Perpendicular Mandelbrot fractal introduces perpendicular symmetry into the traditional Mandelbrot iteration. This modification results in cross-like, highly structured patterns. It is a striking example of how minor changes to equations produce drastically different visual effects.
Cosine Fractal
The Cosine fractal is generated using cosine functions, creating periodic and highly detailed wave-like structures. It exhibits self-similarity at various scales, making it a useful tool in mathematical modeling. This fractal is often used in visual effects and simulations.
Heart Fractal
The Heart fractal is a mathematical structure that forms a heart shape through iterative equations. It is often used in fractal art due to its visually appealing and symmetrical nature. This fractal symbolizes the blend of mathematics and artistic expression.
Cubic Mandelbrot
The Cubic Mandelbrot fractal is an extension of the Mandelbrot set, where the iteration formula involves cubic powers. This variation introduces additional branching structures, increasing complexity and beauty. The resulting shapes often resemble organic patterns found in nature.
Biomorph
The Biomorph fractal is inspired by biological patterns, often resembling plant structures, microorganisms, and cellular formations. It is widely used in artificial life simulations and evolutionary modeling. This fractal highlights the connection between nature and mathematics.
Abs Fractal
The Abs fractal is created using absolute values in the iteration formula, leading to unique mirrored and symmetrical patterns. This modification produces visually distinct and highly detailed geometric designs. It showcases the surprising effects of small mathematical changes.
Magnet Type III
The Magnet Type III fractal is a complex extension of magnet fractals, resulting in deeply intricate and mesmerizing geometric shapes. It is influenced by physical magnetism principles and chaotic systems. This fractal demonstrates the interplay between physics and abstract art.
