| Mandelbrot Metal 33.0 Fast deep-zoom exploration and high-resolution art, rendered on your iPhone or iPad. Sources | Measured on iPhone: 4.81× aggregate speedup over the previous release in the published ten-scene test. Metal GPU deep rendering with immediate gesture previews and complete on-device capture. Test details and scope. | Infinity Engine: Metal perturbation with CPU double-double references and recovery. Validated Mandelbrot scale ceiling: 10²⁵; Julia uses its direct renderer. | 156 built-in palettes in Free, including 55 Ultra-Wide. Pro adds custom palettes and photo-derived gradients. | Pro: adjustable 3D Look surface lighting. No built-in video export or tilt steering in v3.0. | On-device PNG: canvas size in Free; 4K, 6K, 8K and custom dimensions beyond 8K in Pro, subject to device memory and render time. Capture waits for completion. | Back/Forward through 50 session states. Portable bookmarks preserve deep coordinates and scene settings; custom palette files travel separately. | V3 Free: full engine, all built-in palettes, 56 starters plus 5 personal bookmarks, and canvas PNG. Pro: expanded creative tools and output. Verified pre-v3 owners keep Pro permanently. |
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| Frax2.1.0 Immersive fractal art, animation and tilt steering. Sources | Designed for real-time animated exploration with touch and tilt navigation. Pro supports on-device image rendering; optional 200-megapixel renders use its cloud service. | Advertises a trillion-to-one depth range. The listing does not specify a Metal or numerical-precision implementation. | Editable color gradients; Pro expands the available parameters and controls. Photo-to-palette import is not documented in the reviewed sources. | Two lights, textures and tilt steering. Pro includes animation video recording. | Pro: up to 8192 × 8192 on-device, per the developer’s App Store response. Also offers 200-megapixel cloud renders via in-app purchases. | Shares live preset links so another user can reopen a scene. | Free download, paid Pro upgrade and separately purchased cloud-render credits. |
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| FractalEcho1.0.68 Extreme-depth exploration, multiple fractals and educational measurements. Sources | The developer describes real-time algorithms and faster deep exploration. Reviewed sources provide no timed renders tied to a specific device, scene, and output size. | Advertises resolution to 10⁻¹¹⁰⁰ and up to 1 billion iterations. These are developer claims, not comparable speed measurements. Metal is not specified. | Dynamic palettes, animated colors and color-rate controls. Photo-to-palette import is not documented in the reviewed sources. | Animated colors documented; relief lighting and tilt steering are not specified. | High-resolution graphics and fractal-data export documented; explicit 4K/8K dimensions are not given. | Bookmarks, personal notes, fractal-data sharing and a community gallery. | Free download with Pro in-app purchases; some features require payment. |
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| Fractal Travel1.12.0 25 patterns, including Mandelbrot, Julia and Burning Ship. Sources | Metal-powered real-time exploration with pinch, pan, and automatic zoom. The reviewed listing gives no timed deep-scene or 4K-export results. | Metal rendering. Free zoom is limited to 2,000×; Premium adds deeper zoom without a stated maximum. | Free: 3 color presets. Premium: all palettes, custom colors and additional render styles. Photo import is not documented. | Auto zoom plus Premium GIF/video export. Surface lighting and tilt steering are not specified. | Free: low-resolution, watermarked images. Premium: watermark-free 4K images and wallpaper sizing. | Recent explorations and last-scene restoration. Portable scene-file sharing is not specified. | Free: 2 base patterns plus a daily free fractal. Premium unlocks all patterns, deeper zoom and expanded output. |
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| Fractally1.0.1 Mandelbrot + Julia, point-orbit visualization and education. Sources | Multi-core CPU vector rendering with adaptive image quality during zoom. Publishes device-specific iterations-per-second results; these measure throughput rather than complete scene-render time. | Over 10¹²× zoom and 2,000+ iterations advertised. Developer documents CPU vector processing with adaptive 32/64-bit arithmetic. | Multiple color schemes. Photo-derived palettes and a custom-palette editor are not specified. | Interactive point-orbit visualization. Relief lighting and tilt steering are not specified. | Anti-aliased PNGs; maximum image size depends on device memory. No fixed 4K/8K ceiling is stated. | Saved favorites and portable .fractally coordinate files. | All features free on iPhone, iPad and Mac; optional donations. |
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| Mandel Draw2.1.10 Up to 80 functions, with Mandelbrot and filled Julia sets. Sources | Offers two rendering methods and describes fast touch interaction. The reviewed listing provides no device-specific scene-render or high-resolution export timings. | DF64 arithmetic option for deeper zoom, with documented exclusions. No numeric maximum zoom or Metal claim in the listing. | 20+ palettes and a custom My Palette editor; paid unlock allows up to 30 custom palettes. Photo import is not specified. | Surface lighting, tilt steering and video export are not specified. | High-resolution sharing at 4× the view’s width and height. Fixed 4K/8K presets are not specified. | Favorites and My Palette sync through iCloud. Paid unlock allows up to 2,000 favorites; sharing can include detailed information. | Free download; an in-app purchase unlocks all functions and palettes plus larger saved libraries. |
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| Fast Fractal1.0.4 A compact Mandelbrot + Julia explorer. Sources | Multicore, double-precision rendering with fluid pinch-and-swipe exploration claims. The reviewed listing provides no timed scene-render or high-resolution export benchmark. | Advertises 10¹¹× magnification with double-precision arithmetic and multicore support. Version history describes OpenGL rendering. | Palette and photo-import capabilities are not specified in the listing. | Pinch/swipe exploration; surface lighting, tilt steering and video export are not specified. | Dedicated high-resolution export is not specified in the listing. | Manual coordinates and iteration controls; portable bookmarks are not specified. | Free. |
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| Jude — Fractal Explorer2.0.9 Simple Mandelbrot + Julia exploration and device backgrounds. Sources | Interactive Mandelbrot and Julia exploration. The reviewed listing gives no rendering architecture or timed performance measurements. | Zooming is advertised without a numeric limit or precision specification. “Infinite” wording is not a measured depth. | Color adjustment documented. A custom/photo-palette workflow is not specified. | Surface lighting, tilt steering and video export are not specified. | Saves device backgrounds; export dimensions are not specified. | A coordinates picker is documented in version history; portable scene files are not specified. | Free. |
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