# Curved Spaces > Flight simulator for multi-connected universes, visualizing topological spaces. (iPhone/iPad app by Jeff Weeks.) - Source: https://appshunter.io/ios/app/curved-spaces/id1417178571 (this page in markdown: same URL + `.md`) - Developer: [Jeff Weeks](https://appshunter.io/developer/326104308) - Category: Education - Price: Free - Rating: 4.80/5 from 25 App Store ratings · 13 written reviews indexed - Age rating: 4+ - Requires: iOS 14.0 · 11 MB - Languages: American English, French (France), Italian, Japanese, European Portuguese, Chinese (Simplified, China), European Spanish, Chinese (Traditional, Taiwan), Turkish - Released: 2018-08-10 - Data updated: 2026-06-01 - Monetization: free - User reviews in markdown: https://appshunter.io/ios/app/curved-spaces/id1417178571/reviews.md ## What is Curved Spaces? Curved Spacess is a flight simulator for multi-connected universes. Because light itself wraps around such a space, inhabitants see their universe’s contents repeating in a crystalline pattern, like a hall of mirrors but with no reflection. Curved Spaces is intended for undergraduates and graduate students studying 3‑manifolds, and has also found use as a research tool in topology and cosmology. Recreational math enthusiasts may instead prefer Torus Games, which offers 3D Mazes and 3D Tic-Tac-Toe in a variety of multi-connected 3D spaces, along with games on multi-connected 2D surfaces. ## Key features - Multi-connected universe simulation - Visualizes light wrapping - Crystalline pattern display - Topology research tool - Cosmology research tool - Educational for 3-manifolds ## Recent user reviews (10 of 13) All indexed reviews: https://appshunter.io/ios/app/curved-spaces/id1417178571/reviews.md ### 5/5 — Bravo! Great Jorb *2025-10-29* feature request toggled 3D mini context model of the shape and its orientation to the pov ### 2/5 — How do you change space curvature????? *2025-05-18* The game starts in a euclidian space with cubic lattice and there’s no way to change that. **Developer response:** If you tap the button at the lower-left corner of the screen you'll get a menu offering you dozens of different spaces with spherical, Euclidean and hyperbolic geometry. ### 5/5 — Neat App For Brain *2024-11-17* Good for seeing 4d ### 5/5 — Amazing app *2024-05-18, version 4.2.2* I know it’s meant for education but I still i’ve flying around ### 5/5 — Visualization Tool 10 out of 10 *2024-04-30* Trying to mentally process the subjective point of view while flying through various dimensional configurations is difficult. Using Curved Spaces is both fun and enlightening! Breathtaking imagery and flawless execution! Fun way to get children captivated by the beauty of mathematics. Bravo! ### 5/5 — Relaxing *2023-04-28* I’m not studying 3-manifolds but this is an awesome little app to fly around in, love especially widening the aperture to make the infinite repeating structure apparent. Thanks. ### 5/5 — VR support? *2021-08-06* @~@ ### 5/5 — Love this idea *2020-11-15* Thank you! ### 5/5 — Very trippy *2020-08-08* Still cool. Anyway to answer that, we need to talk about parallel universes. ### 5/5 — Great app *2020-07-26, version 4.1.4* Easy to use with many options to play with. Thanks to Zach Star on yt for presenting and explaining this app. ## Frequently asked questions about Curved Spaces ### What is Curved Spaces used for? Curved Spaces is primarily used as a flight simulator for multi-connected universes. It serves as an educational tool for students studying 3-manifolds and a research tool for topology and cosmology. ### Who developed Curved Spaces? Curved Spaces was developed by Jeff Weeks. It was first released on August 10, 2018, and the latest version is 4.2.2, updated on May 25, 2022. ### What devices does Curved Spaces support? Curved Spaces is available for iPhone, iPad, and iPod. It is designed for users aged 4 and up. ### How is Curved Spaces rated by users? Curved Spaces has received excellent user feedback, with an average rating of 4.8 stars from 25 ratings. This indicates a high level of user satisfaction. ### Does Curved Spaces offer different learning modes? While not explicitly detailing modes, Curved Spaces visualizes complex mathematical spaces. It's designed to aid understanding of 3-manifolds and topological concepts through its simulation. ### Can I track my progress in Curved Spaces? Curved Spaces is a simulation and research tool, not a gamified learning platform. It does not feature explicit progress tracking for users. ### Does Curved Spaces offer certifications? Curved Spaces is an educational and research tool, not a formal course provider. It does not offer certifications upon completion of any learning modules. ### Does Curved Spaces have ads? No, Curved Spaces does not contain advertisements. It is a free application without any in-app purchases or ad interruptions. ## Version history (last 5 releases) ### 4.2.2 — 2022-05-25 - Added Turkish translation, thanks to Süleyman Saltuk Güngör - Minor aesthetic changes for iOS 15 ### 4.2.1 — 2021-09-15 - Added Italian translation, thanks to Daniela, Isabella Eva and Davide Bigatti - Updated Japanese translation, thanks to Tom Sawada ### 4.1.5 — 2020-09-04 - Supports Wide Color displays - Added Portuguese translation, thanks to Nuno Fernandes - Updated Spanish translation, thanks to Cristian Armendariz-Picon ### 4.1.4 — 2020-04-02 - Launch-screen format satisfies new App Store requirement - Toolbar height adapts to default for iPhone or iPad ### 4.1.3 — 2019-11-13 Added spaces in support of the 3rd edition of the book The Shape of Space (see www.crcpress.com/The-Shape-of-Space/Weeks/p/book/9781138061217 ) ## Apps similar to Curved Spaces | App | Rating | Price | Category | | --- | --- | --- | --- | | [Graph Linear Equations 2 Vars](https://appshunter.io/ios/app/graph-linear-equations-2-vars/id6504436999) | — | Free | Education | | [Near the Speed of Light](https://appshunter.io/ios/app/near-the-speed-of-light/id6466729484) | — | Free | Education | | [CloudLabs Moon Phases](https://appshunter.io/ios/app/cloudlabs-moon-phases/id6470848683) | — | Free | Education | | [Amoeba Fission - EduTech Era](https://appshunter.io/ios/app/amoeba-fission-edutech-era/id1625842140) | — | $1.99 | Education | | [Loughborough Wave Lab](https://appshunter.io/ios/app/loughborough-wave-lab/id402424695) | 4.5 (13) | Free | Education | | [Cosmic Flight App](https://appshunter.io/ios/app/cosmic-flight-app/id6742032760) | — | Free | Education | ## More apps by Jeff Weeks - [Torus Games](https://appshunter.io/ios/app/torus-games/id471295451) - [KaleidoPaint](https://appshunter.io/ios/app/kaleidopaint/id518275953) - [4D Draw](https://appshunter.io/ios/app/4d-draw/id926050711) - [4D Maze](https://appshunter.io/ios/app/4d-maze/id967998166) - [Hyperbolic Games](https://appshunter.io/ios/app/hyperbolic-games/id1352457149) - [KaleidoTile](https://appshunter.io/ios/app/kaleidotile/id1374849164) All apps by Jeff Weeks: https://appshunter.io/developer/326104308 ## Related topics [curved spaces](https://appshunter.io/ios/topics/curved-spaces) · [the fourth dimension](https://appshunter.io/ios/topics/the-fourth-dimension) · [universe splitter](https://appshunter.io/ios/topics/universe-splitter) · [topology](https://appshunter.io/ios/topics/topology) · [universe size comparison](https://appshunter.io/ios/topics/universe-size-comparison) · [paraspace](https://appshunter.io/ios/topics/paraspace) · [antimatter dimensions](https://appshunter.io/ios/topics/antimatter-dimensions) · [curved](https://appshunter.io/ios/topics/curved) · [axis space](https://appshunter.io/ios/topics/axis-space) --- *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 2026-06-01.*