Curved Spaces app icon - Education app for iPhone

Curved Spaces

Explore multi-connected universes

Jeff Weeks

4.84615
(26 ratings)
Education Free iOS 14.0+

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iPad Screenshots

Description

Explore 3D environments to visualize and understand how light behaves in non-Euclidean geometries. Navigate through interactive universes to study 3-manifolds. Use the for academic research or to gain insights into topology and cosmology.

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.

App information from Apple App Store. Curved Spaces and related trademarks belong to Jeff Weeks.