Non-Euclidean geometry
Concept
Geometries where Euclid's first four postulates hold, but the fifth (parallel postulate) does not. This includes hyperbolic and spherical geometries.
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Videos Mentioning Non-Euclidean geometry
Eric Weinstein: Revolutionary Ideas in Science, Math, and Society | Lex Fridman Podcast #16
Lex Fridman
A type of geometry that deviates from Euclidean postulates, particularly the parallel postulate.
How One Line in the Oldest Math Text Hinted at Hidden Universes
Veritasium
Geometries where Euclid's first four postulates hold, but the fifth (parallel postulate) does not. This includes hyperbolic and spherical geometries.
NEW: More Evidence You're an NPC in a Video Game (Part 2)
Tom Bilyeu
Geometries that differ from Euclidean geometry, where Euclid's postulates, such as the parallel postulate, do not hold. Independently discovered by multiple mathematicians.