Triple Pendulum vs TippyTip

The motion of a triple pendulum is governed by a set of coupled ordinary differential equations. For certain energies its motion is chaotic. This application solves these differential equations using the Runge-Kutta method for the time stepping. You can influence the movement of the pendulum by holding your device in different positions.

Save useful articles. Capture your thoughts. Listen when it suits you. TippyTip brings saved web links, notes, summaries, and recordings into one personal library. SAVE AND ORGANIZE • Save links from Safari’s share sheet or add them in the app. • Organize your library with tags, favorites, and archives. • Explore connections between articles that share tags. • Export links and notes to CSV. READ AND LISTEN • Write your own notes and summaries. • Record audio notes with your microphone. • Combine saved recordings into podcasts with chapters. • Play saved audio while your screen is locked. OPTIONAL OPENAI FEATURES Use your own OpenAI API account to generate article summaries, tags, and spoken audio. Refresh model choices from your account and choose your preferred text and speech models. Follow processing progress, pause or resume work, and retry incomplete results. Background processing depends on the time iOS makes available. On iOS 26, Continue in background can request additional processing time. YOUR LIBRARY AND OPTIONAL SERVICES Your library is stored on your device. Optional iCloud synchronization stores and syncs your library and audio through your personal iCloud account. When OpenAI is enabled, article text, summary or note text, and generated tags may be sent directly to OpenAI for the features you use. Generated speech sends text to OpenAI; microphone recordings are not sent to OpenAI. Your API key is saved in your device’s Keychain. OpenAI’s handling of requests depends on its service policies and applicable account settings. Manual notes, tagging, and microphone recordings work without an OpenAI key. OpenAI API usage may incur separate charges; a ChatGPT subscription does not include API usage. Pages requiring a login, subscription, or JavaScript may not provide extractable article text. No TippyTip account is required.