benoît M vs Fluid Simulation

benoît M is a visual exploration of the Mandelbrot set — one of the most iconic and fascinating shapes in mathematics. Named in homage to Benoît Mandelbrot, who discovered this fractal-set named after him in 1979. The mathematician introduced the world to fractal geometry. This app lets you dive into a universe created from one deceptively simple formula: repeat z² + c, again and again. From that small rule emerge endless spirals, islands, valleys, coastlines, and self-similar structures that continue to reveal new detail as you zoom deeper. With real-time Metal rendering, benoît M turns fractal exploration into a smooth, visual experience. Pinch to zoom, pan to move, and double-tap to dive into interesting regions. Switch between classic Mandelbrot rendering and a beautiful pseudo-3D relief mode that gives the fractal a sculptural, almost metallic depth. Customize the look with image gradients, procedural palettes, inverted or flipped color styles, and adjustable iteration quality. When you find a scene worth keeping, export it as a square high-resolution PNG — up to 8K — directly to your Photo Library. Features: - Explore the Mandelbrot set interactively - Smooth Metal-based rendering - Classic Mandelbrot and pseudo-3D relief modes - Image-based and procedural color gradients - Adjustable iteration depth - Pinch, pan, and double-tap navigation - High-resolution PNG export: 2K and 8K - Saved app state, so you continue where you left off A compact tribute to Benoît Mandelbrot and the beauty of fractal geometry Whether you are fascinated by mathematics, generative art, abstract visuals, or simply beautiful patterns, benoît M invites you to explore infinity — one zoom at a time.

Art you can touch. LIQUIDTOUCH is an art app for iPhone and iPad that lets you explore light, liquids, metal and geometry through taps and drags. Tap to send ripples across the screen. Drag to change what you see. When you want to move your fingers without thinking or take a break, enjoy a little time with art at your own pace. • Find your favorite among 45 artworks Ripples of light, the clarity of glass, undulating metal, color set loose in water, scenery rushing past. Five styles, each with a feel of its own. • Tap, drag and hold Art responds to where and how you touch. Hold to speed up the motion and repeat effects in supported artworks. Feel haptic feedback on supported devices. • Save and share the motion Record a 3-second Live Photo, a 4K image or a video of up to 60 seconds while interacting with an artwork. Save it to Photos or send it through the system share sheet. Videos are saved in portrait Full HD. On compatible iPhones, Live Photos can be set as Lock Screen wallpapers through iOS. Playback depends on the device, iOS version and photo eligibility. This is not a continuously animated Home Screen wallpaper feature. • Listen Mode responds to sound Turn on Listen Mode to make art respond to sounds around you. The microphone is used when you enable this feature. Microphone audio is not recorded in exported videos. • Enjoy a bigger canvas Enjoy LIQUIDTOUCH on iPad, or display art on a larger screen when connected to a compatible external display. • Try every artwork first The first-launch guide lets you touch every artwork before you choose a plan. Access to the artworks is offered with a weekly or yearly auto-renewing subscription. The yearly plan includes a free trial for eligible new subscribers. See the purchase screen for prices and available offers. Weekly and yearly plans renew automatically unless canceled at least 24 hours before the current period ends. Payment is charged to your Apple Account. Manage or cancel subscriptions in your Apple Account subscription settings. Restore previous purchases using Restore Purchases in the app. Terms of Use (Apple Standard EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/