non-Euclidean

Space bends here

Non-Euclidean describes geometries that reject one or more of Euclid's foundational axioms, particularly the parallel postulate.

In Euclidean geometry, parallel lines never meet; in non-Euclidean systems, they may converge or diverge.

Non-Euclidean geometry governs curved surfaces and spacetime in Einstein's relativity.

Figuratively, non-Euclidean suggests something warped or mind-bendingly strange: The building's non-Euclidean architecture made visitors dizzy.

geometry

hyperbolic

Exaggerated beyond reason

manifold · spherical · isometry · great circle · hyperboloid

surreal

Escher

Dutch impossible-geometry artist

phantasmagoria · mind-bending · disorienting · otherworldly · eldritch · labyrinthine · tesseract · impossible staircase · Cthulhu

spacetime

relativity

How observers differ

wormhole · cosmology · warped · gravity well · singularity · event horizon

abstract

counterintuitive

Contrary to expectations

axiomatic · unconventional · paradoxical · multidimensional · incomprehensible

Categories
Opposites
geometric framework

non-EuclideanEuclidean

Flat-space geometry type

flat · Euclidean geometry · plane geometry · Cartesian · rectilinear

spatial intuition

non-EuclideanEuclidean

Flat-space geometry type

flat · intuitive · classical · conventional · straight

Family

Euclid, Euclidean

Familiarity
Top 500,000
Profile
Used worldwide · Timeless · Abstract · Rated G