A new Relief look, the Hexaflake, and a fitting palette for every fractal. - Relief, a new Look. The fractal is lit like an embossed surface, with the light at the upper left of the screen however you twist the view. It shades your palette's colors, so Repeat, Shift and every palette work with it, and it keeps its detail at any depth. - The Hexaflake, a new fractal: a hexagon replaced by seven smaller ones, again and again. Step through the levels with a depth slider and play button, see each level in its own hue, and zoom into any corner as far as you like. - Each fractal now opens in a palette that suits it, such as the Burning Ship in Fire and the carpet in Glacier. Pick a palette yourself and it holds for every fractal; Default in the Color sheet brings each fractal's own back. - The Burning Ship opens the classic way up, hull below and masts above. - The Pythagoras tree is shaded, lit from the upper left, so the branching reads as relief. - The Sierpinski triangle is now a true equilateral triangle. - The fractal picker is regrouped: "Zoom forever" for everything you can dive into, and "Watch it grow" for shapes that build level by level. - Deep zooms finish sharpening about twice as fast.

Color Looks for the fractals, and Koch, tree and dragon that keep revealing detail as you zoom. - Color Looks. Tap the color button for the new Color sheet: Default, Edge glow, Stripes, Bands, Orbs and Rays, with Repeat and Shift sliders and all your palettes. Edge glow keeps thin filaments crisp at any depth, and Orbs and Rays work at any zoom. - Share links carry your Look, so a friend opens your view with the same colors. - The Koch snowflake, Pythagoras tree and dragon curve now keep revealing detail as you zoom, instead of running out, and draw lighter while you drag or pinch. - Dual view opens the Julia pane on the whole Julia set. On a Julia set, turning dual view off now brings you back to the Julia set, instead of leaving you on the Mandelbrot. - Flights and pinches that run slowly now draw at a lower resolution while they move, then sharpen as soon as they stop.

A new fractal, the Apollonian gasket, and Surprise me now flies to 98 named places on every zoom fractal. - New fractal: the Apollonian gasket, circles packed inside circles. It zooms about a quadrillion times deep, and its info card shows the curvature of the circle you're looking at, always a whole number. - Surprise me now covers every zoom fractal, with 98 named places, up from 31. That includes new spiral dives like Rabbit Hole, Into the Eye and Pole Star, and Bird's Eye, a spiral eye on the Mandelbrot set. - Newton's method now zooms about 100 billion times deep, and Phoenix about a billion times. Both used to blur past about 10,000 times. - Many places are reframed to fit and sit centered on an iPhone, and Elephant Valley lands with the elephants marching along the top. - Fixed: deep zooms near the center of Newton's method could turn blocky, with the wrong colors.

Surprise me goes everywhere, Julia sets show where they come from, patterns grow on their own, and the toolbar is cleaner. - Surprise me now lands on 31 named places, up from 6: new ones on the Burning Ship (shown ship-side up), Tricorn, the Phoenix Julia set and the Mandelbrot set. - On the Sierpinski carpet and gasket, Surprise me takes a seven-second spiral dive about a billion times deeper. With Reduce Motion on, it flies straight in. - Pick a Julia set and switch to dual view to see the Mandelbrot set around its point, with the Julia set below. - The Koch snowflake, Pythagoras tree and the curves get a play button that grows and shrinks the pattern by itself. Hold the speed button and slide to go slower or faster. - A cleaner toolbar: quieter sliders, the same button order in every fractal, a die for Surprise me and a house for Reset. Tap the speed button to change speed. - Better VoiceOver support, and in landscape the toolbar stays clear of the notch. - Fixed: Surprise me could land on a black screen if you'd moved the detail slider.

Deeper Sierpinski zoom, a new info card and a redesigned color menu. - The Sierpinski gasket and carpet now keep revealing new detail as far as you zoom, up to about a quadrillion times, instead of going blank or blurry after a few thousand. - The info card reads like a map legend: the place name, how deep you are ("1.8 trillion times deeper"), a scale bar, and the center point, precise enough to find the spot again. In split view, the Julia pane is labeled. - New colormap menu: every palette shows as a full strip, and the color button shows the one you picked. - Fixes: the center point is exact at every zoom, and the Sierpinski carpet stays steady when you zoom deep far from the main pattern. - A smaller download.

A fresh icon, a new fractal, better colors, and a few tweaks... - New icon: a bright close-up of Seahorse Valley - New fractal: the Celtic Mandelbrot, with deep zoom and a Julia split view - Each fractal now remembers where you left it, so you can hop to another fractal and come back to the same spot - New Classic and Fire colormaps, and smoother gradients in Inferno, Plasma, Viridis, Turbo and Twilight - Accessibility improvements: The app follows your iPhone's Larger Text setting - Shared links now name their colormap, so links you share from now on keep their colors in future updates

• A new picker shows a preview of every fractal and pattern, with clearer names. • Dual view: the Julia set now follows the center of the main fractal as you pan and zoom. • Shared links open straight in Fractal Atlas. • A plainer info overlay, with the place name after Surprise me. • Surprise me now lands centered on its sights. • Faster startup, plus fixes for shared links, and gestures.