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描述

FractalEcho
Discover the mesmerizing world of fractals with FractalEcho, a powerful app that brings stunning visuals and endless possibilities to your fingertips. Explore intricate patterns that were once limited to supercomputers but are now accessible on your device.

Unrivaled Search Depth and Resolution: FractalEcho enables you to explore fractals at up to 100,000,000 iterations and resolutions of up to 1e-306. This level of detail enables you to uncover previously hidden depths and push beyond the boundaries previously thought possible.

FractalEcho: Where Mathematical Precision Meets Artistic Wonder

Unlock the captivating world of fractals with FractalEcho – a powerful and intuitive app that brings the beauty of infinite complexity to your fingertips. Explore intricate patterns, hidden depths, and breathtaking visuals previously confined to high-end computing, now accessible on your device.

Unrivaled Depth & Resolution: Experience fractal generation like never before! FractalEcho enables fractal exploration at up to 100,000,000 iterations with a stunning 1e-306 resolution – far exceeding the capabilities of other apps. Discover fractals never before seen to push beyond the boundaries of visual exploration. Utilizing advanced real-time algorithms, FractalEcho delivers unparalleled resolutions.

Explore & Customize: Delve into Mandelbrot and Julia Sets, bringing them to life with animated colors, dynamic color palettes, and precise control over search depth, zoom levels, and color rates of change. Experiment endlessly to discover stunning new forms.

A Unique Educational Tool: FractalEcho uniquely calculates both the border length and area of the fractal at any given iteration level, visually demonstrating the fascinating concept of an infinite boundary contained within a finite space – a core principle of fractals.

Community & Sharing: Discover a vibrant gallery showcasing stunning fractals uncovered by other users. Save your favorite discoveries with bookmarks and personal notes. Share your own artistic discoveries with the world – export high-resolution graphics and fractal data for others to enjoy.

Easy to Use: An in-app tutorial guides you through FractalEcho’s powerful features, making fractal exploration accessible to everyone. Whether you're a math enthusiast, an artist, or simply curious about the fractal universe, FractalEcho offers something for you.

To illustrate the extreme resolution FractalEcho achieves, consider a comparison between two extremes: the most distant known galaxy (JADES-GS-z14-0) estimated to be 33.6 billion (33.6e+9) light years away, and an electron within an atom having an estimated diameter of about 5.636e-15 meters.

The electron diameter is about 1.78e-41 times the distance to the farthest known galaxy. This is a number with 41 digits after the decimal point. FractalEcho’s resolution of 1e-306 is about 1e265 times more accurate than this comparison. To put it another way, if we measured the distance to the farthest known planet in units of electron diameters, FractalEcho's calculations would still be 1e265 times more accurate. This difference is a number with 265 digits!

Perfect for math enthusiasts and artists! Download FractalEcho and begin your journey into the infinite beauty of fractals!

Visit https://FractalEcho.com to learn more. Some features require in-app purchases that can be shared across all your Macs, iPhones, and iPads.

View our on-line gallery at:
https://data.bluestonepond.com/FrE/FrE_Action/FrE_Gallery.php

View our privacy policy at:
https://fractalecho.com/FractalEchoPP/FrE_PrivacyPolicy.html

View our terms of service policy at:
https://fractalecho.com/FractalEchoPP/FrE_TermsOfUse.html
更多 ↓

螢幕擷取畫面

#1. FractalEcho (macOS) 由: Bluestone Pond
#2. FractalEcho (macOS) 由: Bluestone Pond
#3. FractalEcho (macOS) 由: Bluestone Pond
#4. FractalEcho (macOS) 由: Bluestone Pond
#5. FractalEcho (macOS) 由: Bluestone Pond
#6. FractalEcho (macOS) 由: Bluestone Pond
#7. FractalEcho (macOS) 由: Bluestone Pond
#8. FractalEcho (macOS) 由: Bluestone Pond
#9. FractalEcho (macOS) 由: Bluestone Pond

新功能

  • 版本: 1.0.40
  • 發佈日期:
  • FractalEcho is regularly updated with new enhancements! This update introduces several exciting improvements that elevate the fractal exploration experience including:

    Enhanced Performance: Fractal image generation supports even faster image creation for exploring deep within the fractal world.

    Increased Resolution: Maximum fractal resolution has been boosted to an incredible 1e-306, allowing you to explore intricate details at the farthest edges of fractal complexity.

    Deeper Iteration Limits: The maximum search depth now reaches an astonishing 100,000,000 iterations, enabling deeper dives into fractal structures than ever before.

    New Gallery Insights: To help identify and understand gallery images, each entry now displays the search depth and resolution values used during creation.

    Whether you're a casual explorer or a dedicated fractal enthusiast, this update brings powerful tools that enhance your experience at every level. Enjoy a deeper, faster fractal journey with FractalEcho!

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