Epicycles
Experiment with Fourier series
About
Explore the visualization of complex Fourier series through interactive epicycles. Create and analyze approximations of parametric curves and complex functions. Save animations and export custom terms for later use.
What's New in Epicycles
1.1.4
November 23, 2023
Maintenance update to prevent some views from not displaying properly when device is set to dark mode.
Developer apps
FAQ
What is Epicycles used for?
Epicycles is used to explore the visualization of complex Fourier series. It allows users to interactively create and visualize epicycles based on sampled parametric curves or predefined Fourier series terms, demonstrating the approximation of complex-valued functions.
Can I save my custom Fourier series terms in Epicycles?
Yes, custom terms can be saved by exporting them to 'epi' documents in Files. These can then be restored by importing them later, allowing you to reuse your custom configurations.
How can I share my visualizations from Epicycles?
You can save cyclic animations to GIFs or snapshots to PNGs directly within the app. These can be saved to your Photos library in various resolutions, including 480x480, 720x720, or 1080x1080.
What are the main interactive elements in Epicycles?
The main view includes a Time Slider (t) to adjust the state of graphic elements, and a Number of Fourier series terms slider (N) to control the approximation complexity. The Graphic Menu allows toggling visibility of circles, the current function path, and the Fourier series approximation path.
What is the age rating for Epicycles?
Epicycles has an age rating of 4+, making it suitable for a wide range of users interested in educational content.
On which devices can I use Epicycles?
Epicycles is supported on iPhone, iPad, and iPod devices, offering a versatile experience across Apple's mobile ecosystem.
How often is Epicycles updated?
The app was last updated on November 23, 2023, with version 1.1.4. This indicates ongoing development and potential for future improvements and bug fixes.
Does Epicycles have ads?
No, Epicycles does not contain advertisements. It is a completely ad-free application, allowing for an uninterrupted learning experience.
