# BeautOfFractals

> BeautOfFractals (iPhone/iPad app by Lutz-R. Frank.)

- Source: https://appshunter.io/ios/app/beautoffractals/id6780817703 (this page in markdown: same URL + `.md`)
- Developer: [Lutz-R. Frank](https://appshunter.io/developer/1826961605)
- Category: Graphics & Design, Education
- Price: Free
- Age rating: 4+
- Requires: iOS 26.0 · 15 MB
- Languages: American English
- Released: 2026-06-20
- Data updated: 2026-07-31
- User reviews in markdown: https://appshunter.io/ios/app/beautoffractals/id6780817703/reviews.md

## What is BeautOfFractals?

Beauty of Fractals turns mathematical structures into an immersive visual
journey for iPhone and iPad.

Explore the Mandelbrot set and a diverse collection of related fractals with
natural touch navigation, fast Metal rendering, precise CPU deep zooms,
expressive palettes and abstract rendering styles, iCloud-synced favorite
spots, PNG export, and Apple Watch render mirroring.

FEATURES

- Explore Mandelbrot, Power of n (2-12), Julia, Burning Ship, Tricorn, Celtic,
  Newton, Kleinian, Mandelbrot Relief, Mandelbulb 3D, Mandelbox 3D, and Eight
  Rainbows
- Navigate naturally with pinch-to-zoom and touch gestures
- Use Automatic precision selection from fast interactive views through guarded
  Extreme Precision
- Reveal selected Mandelbrot structures around 10^50x, with deeper views
  available as an experimental frontier
- Render difficult deep zooms with adaptive reference anchors and coverage
  repair
- Let the app choose an iteration budget from the center orbit plus a reserve,
  or select up to 250,000 iterations manually
- Save and revisit precise favorite spots with thumbnails, palette, quality,
  mode, and effective iteration counts
- Sync favorites through iCloud across iPhone, iPad, and Mac
- See render progress, final previews, and the current zoom on Apple Watch
- Create abstract worlds with Metallic Dreams, Embossed Metal, Guilloché,
  Spheroid Glass, Quantum Glass, Quantum Traps, and Orbital Waves
- Shape each new style with its dedicated touch control
- Choose from additional expressive color palettes, including Aurora, Auric,
  Pearl, Rainbows, and Deep Current
- Export PNG images recalculated locally for the selected output size
- Collapse the controls for an unobstructed view of the fractal
- Follow longer calculations with clear render status and diagnostics

Beauty of Fractals is designed for exploration. There are no accounts,
advertisements, analytics, or tracking. Rendering and export happen locally on
your device. Optional iCloud sync and Apple Watch communication use Apple
system services.


## Version history (last 5 releases)

### 2.13 — 2026-07-30

- Added Quantum Glass to iPhone and iPad.
- Improved deep-zoom rendering for Quantum Glass and the recently introduced
  abstract palettes.
- Stabilized artistic orbit details between on-device previews and full-size
  PNG exports.
- Improved palette behavior at extreme zoom levels.
- Apple Watch continues to mirror render progress and finished previews from
  the paired iPhone.

### 2.12 — 2026-07-29

- Added Metallic Dreams, Embossed Metal, Guilloché, Spheroid Glass, Quantum
  Traps, and Orbital Waves to iPhone and iPad.
- Added touch controls for each style's distinctive visual character.
- Made the abstract styles available for Mandelbrot, Julia, and Power fractals.
- Favorites now preserve the selected style and its custom settings across
  iPhone, iPad, and Mac.
- Updated local PNG export to reproduce the new abstract rendering styles.
- Apple Watch continues to mirror render progress and finished previews from
  the paired iPhone.

### 2.11 — 2026-07-28

- Brought the current guarded deep-zoom renderer to iPhone and iPad.
- Added the same adaptive reference anchor selection and automatic iteration
  budgeting used on Mac.
- The manual Deep iteration range now reaches 250,000 iterations.
- Improved iCloud favorite synchronization with Mac, including newer deep-zoom
  favorites and effective iteration counts.
- Apple Watch now shows render progress while the paired iPhone renders, then
  displays the finished preview with the current zoom value.

### 2.10.1 — 2026-07-16

- Deep quality now offers an extended manual range of up to 128,000 iterations for resolving exceptionally slow-escaping Mandelbrot structures.
- Automatic mode retains its responsive defaults; the additional range is available only when deliberately selected.

### 2.10 — 2026-07-14

- New **Extreme Precision** rendering combines Triple-Double coordinates with local reference-orbit refinement for extraordinary Mandelbrot depth.
- Explore reliably around 10^38× magnification, with an explicitly experimental frontier around 10^39×.
- Automatic mode now selects the fastest stable strategy as you move between normal views and deep precision ranges.
- Deep-zoom favorites preserve their precise coordinates, render quality, and effective iteration depth across Mac, iPhone, and iPad.
- Deep-zoom PNG exports are recalculated locally for the selected output size.
- Render progress and cancellation remain available during longer calculations.

## Related topics

[fractals](https://appshunter.io/ios/topics/fractals)

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-07-31.*