{"podcast":{"title":"We Have Concerns","slug":"we-have-concerns-319519","podcast_index_feed_id":319519,"rss_url":"https://feeds.simplecast.com/2V4dK4EE","website_url":"http://wehaveconcerns.com","image_url":"https://image.simplecastcdn.com/images/6ec29d2d-a753-4f2b-997d-c1dc3e018bd5/5cd18fb1-8aa5-42be-ba22-c9c1b29b850f/3000x3000/1424906936-artwork.jpg?aid=rss_feed","author":"Anthony Carboni/Jeff Cannata","episode_count":814,"summary":"Jeff Cannata and Anthony Carboni talk about the personal philosophical concerns they find lurking inside everyday things. It's fun?","last_synced_at":"2026-07-06T14:18:40.017330+00:00","page_url":"https://stenobird.com/podcast/we-have-concerns-319519"},"episode":{"title":"Discovering the Noperthedron","slug":"discovering-the-noperthedron","published_at":"2026-02-02T00:01:01+00:00","page_url":"https://stenobird.com/podcast/we-have-concerns-319519/discovering-the-noperthedron","show_page_url":"https://stenobird.com/podcast/we-have-concerns-319519","url":"http://wehaveconcerns.com","audio_url":"https://cdn.simplecast.com/audio/6ec29d2d-a753-4f2b-997d-c1dc3e018bd5/episodes/4591165f-e584-406c-971e-fc5118d49e42/audio/39395cac-c59e-4057-b861-d7cad53ac33f/default_tc.mp3?aid=rss_feed&feed=2V4dK4EE","summary":"Can one six-sided cube seamlessly pass through another of equal size? The answer may surprise you. And the quest to discover convex polyhedrons that don't behave that way is even wilder. After more than three centuries, a geometry problem that originated with a royal bet has been solved, and Jeff and Anthony lay it all out for you.","meta_description":"Can one six-sided cube seamlessly pass through another of equal size? The answer may surprise you. And the quest to discover convex polyhedrons that don't…","key_points":[],"chapters":[],"topics":[],"duration_seconds":3050,"processing_state":"not_requested","actions":[{"name":"request_transcript","method":"POST","url":"https://stenobird.com/v1/public/podcasts/we-have-concerns-319519/episodes/discovering-the-noperthedron/transcription-requests","description":"Idempotently request low-priority transcript generation for this episode."},{"name":"read_markdown","method":"GET","url":"https://stenobird.com/podcast/we-have-concerns-319519/discovering-the-noperthedron.md","description":"Read the agent-friendly Markdown representation of this episode resource."}]}}