This is supposed to be a spiky fluffy inflorescence but the stem on which the little flowers grow is weirdly flattened and then overgrows sideways in way that looks like it’s trying to explore hyperbolic space. Celosia argentea - cristate mutant.

#Celosia #cristate #HyperbolicSpace #Bloomscrolling

"Introduction to hyperbolic geometry and application to data science, by Brice Loustau"

00:07 1. From Euclidean to hyperbolic geometry
06:14 2. The pseudo-Euclidean Model
13:10 3. Hyperbolic geometry and data science

#hyperbolicSpace #poincare

🎥 https://www.youtube.com/watch?v=iZYY3WuWRcA

What is #Hyperbolic #Space? - #NonEuclidean #Geometry Explained

https://www.youtube.com/watch?v=zQo_S3yNa2w&ab_channel=CodeParade

#Math #Maths #Mathematics #HyperbolicSpace #Euclidian #EuclideanGeometry #NonEuclideanGeometry #Spacetime #Projection #Projections #Topology #Topologies

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.

#Mathematics #Geometry #NonEucldeanGeometry #FreeSoftware