# Burning Ship Fractal - Fractal Explorer

Explore a variant of the Mandelbrot set - unique flame shape through absolute value transformation

> Canonical page: https://elysiatools.com/en/visualizations/burning-ship

- **Category:** Math

## Overview

Interactive exploration of the Burning Ship fractal, a famous variant of the Mandelbrot set discovered in 1992. Features the absolute value iteration formula z_{n+1} = (|Re(z_n)| + i|Im(z_n)|)² + c creating unique flame-like self-similar structures. Real-time fractal rendering using Web Workers for non-blocking computation. Interactive controls: zoom (mouse wheel/pinch), pan (drag), adjustable iterations (100-1000), multiple color palettes (fire, ice, rainbow, ocean, psychedelic, grayscale), and coloring modes (linear, logarithmic, square root). Famous Burning Ship region with coordinates centered at Re: -1.75, Im: -0.03. Quick location presets: main ship body, detail areas, deep structures, and extreme details. Live viewport display showing center coordinates, zoom level, and iteration count. Touch gesture support for mobile devices. Keyboard shortcuts (arrow keys for pan, +/- for zoom, R for reset). Save rendered images as PNG. Educational content covers Burning Ship formula derivation, absolute value transformation effect, comparison with Mandelbrot set, 'origami' folding geometry, exploration tips for the ship bottom region (negative imaginary), applications in complex dynamics, fractal geometry, computer graphics, generative art, and data visualization. Multi-language support (zh, en, es, fr, de, ru, pt).

## Related content

- [Zero-Order Reaction - Interactive Visualization](https://elysiatools.com/en/visualizations/zero-order-reaction): Interactive visualization of zero-order reaction kinetics and concentration changes over time
- [First-Order Reaction - Interactive Visualization](https://elysiatools.com/en/visualizations/first-order-reaction): Interactive visualization of first-order reaction kinetics and exponential concentration decay
- [Second-Order Reaction - Interactive Visualization](https://elysiatools.com/en/visualizations/second-order-reaction): Interactive visualization of second-order reaction kinetics and bimolecular collision dynamics
- [Arrhenius Equation](https://elysiatools.com/en/visualizations/arrhenius-equation): Interactive visualization of temperature effect on reaction rate - Explore activation energy, pre-exponential factor, and rate constant relationship
- [Reversible Reaction](https://elysiatools.com/en/visualizations/reversible-reaction): Interactive visualization of A ⇌ B reversible reaction kinetics - Explore forward and reverse reaction rates, equilibrium constant, and concentration changes over time
- [Consecutive Reaction](https://elysiatools.com/en/visualizations/consecutive-reaction): Interactive visualization of A → B → C consecutive reaction kinetics - Explore intermediate concentration peaks, rate-determining steps, and complete evolution of all species
- [Chain Reaction](https://elysiatools.com/en/visualizations/chain-reaction): Interactive visualization of free radical chain reaction polymerization - Explore initiation, propagation, termination steps, chain growth animation, and molecular weight distribution
- [Le Chatelier's Principle](https://elysiatools.com/en/visualizations/le-chateliers-principle): Interactive visualization of Le Chatelier's Principle - Explore how changes in concentration, pressure, and temperature affect chemical equilibrium with animated molecular dynamics