PythagorasTree vs FractRoam

The Pythagoras Tree is math art. A square trunk is drawn. The hypotenuse of a right triangle is laid on top of the square. From the two legs two new squares are drawn. This process is repeated recursively until there the size of the square is too small to draw. Here you can adjust the angles of the triangle and the color of the tree. You can also make the tree grow and shrink to see the steps in making the tree.

FractRoam is a real-time explorer for the Mandelbrot and Julia sets — and its heart is the autopilot. Press play and let it roam: FractRoam continuously seeks out the most visually interesting regions of the fractal and glides you through them, an endless, ever-changing tour you can simply sit back and watch. Want to take the wheel? Pinch and drag to wander on your own, and recolor the whole scene with a tap. Everything is drawn pixel-by-pixel on your device's GPU, in real time. FEATURES • Roam autopilot — hit play and drift through a continuous, auto-discovered tour of the fractal • Real-time Mandelbrot and Julia set rendering, GPU-accelerated and smooth • Pinch and pan to explore yourself, or hand it back to the autopilot anytime • Color moods — six hand-tuned palettes plus animated color cycling • Share any view — a picture plus a link that reopens the exact same spot • Fully offline — no account, no ads, no data collection • A calm, full-screen interface — just you and the fractal Whether you want something mesmerizing to get lost in, a generative-art source for textures and wallpapers, or a hands-on way to explore the math of self-similarity, FractRoam turns the Mandelbrot and Julia sets into something alive. There's a matching macOS screensaver too — find it at fractroam.com.