The Hyperbolic Geometry Song.
Hyperbolische Geometrie, also die Geometrie von Flächen mit Krümmung = -1, wird in den nächsten Folgen der “Topologie von Flächen”-Reihe noch häufiger vorkommen. Hier heute nur ein Song zum Thema von Jasmerrin.
The Hyperbolic Geometry Song
Lyrics by Jason Merrin
Song parody of “Superman” by Five for Fighting
Geometric lines
In negatively curved space
Can curve in all different directions
In this strange but common case
Not a regular line on a regular plane
As it goes farther out it increases in length
It’s hyperbolic geometry
Hyperbolic geometry’s not strange
In fact it is just fine
Especially for a person
Who wants three or more parallel lines
I think it’s right, I think it’s a hit
That outside of the Poincare disc is infinite
And riding a horse is a tough battle
Without a pseudosphere disc shaped saddle
It’s hyperbolic geometry
The closer to the edge a segment gets
The longer it is
This will be on the quiz
The closer it gets
To infinity
Hyperbolic triangles
Which sort of look like trees
Are always curved strangely
So that they’re less than 180 degrees
Not a regular line on a regular plane
Shaped like a potato chip on a subway train
Not a regular line on a regular plane
A complicated challenge for the human brain
The human brain
The human brain
The human brain
It’s hard for the brain
Not a regular line or a regular plane
Shaped like a potato chip on a subway train
Not a regular line on a regular plane
And it’s hyperbolic
Hmm hmm hmm
It’s hyperbolic… geometry…
Letzte Kommentare