Jim Donegan ✅ · @jimdonegan
1363 followers · 3563 posts · Server mastodon.scotWhat is #Hyperbolic #Space? - #NonEuclidean #Geometry Explained
https://www.youtube.com/watch?v=zQo_S3yNa2w&ab_channel=CodeParade
#Math #Maths #Mathematics #HyperbolicSpace #Euclidian #EuclidianGeometry #NonEuclidianGeometry #Spacetime #Projection #Projections #Topology #Topologies
#topologies #topology #projections #projection #spacetime #noneuclidiangeometry #euclidiangeometry #euclidian #HyperbolicSpace #mathematics #maths #math #geometry #noneuclidean #space #hyperbolic
Khurram Wadee ✅ · @mkwadee
1034 followers · 10917 posts · Server mastodon.org.uk
You can also explore #non-Euclidean space and here is the same action in #HyperbolicSpace (here in a #PoincaréDisc). #StraightLines are replaced by #GeodesicLines which look like #CircularArcs which intersect the #disc at #RightAngles. Circles are transformed to circles but their hyperbolic centres are not at their Euclidean centres.
Repeating the construction for Euclidean space, you can see that the parallel lines diverge.
#non #HyperbolicSpace #PoincaréDisc #StraightLines #GeodesicLines #CircularArcs #disc #RightAngles #mathematics #geometry #NonEucldeanGeometry #freesoftware