Jus' some xxxtra stuff ;) (jk its boring af math shit) Flashcards
What does 2 perpendiculars give us?
a parallel
What are the degree’s of an acute golden T
36 dgrs, 72 dgrs, & 72dgrs
What is the formula for Eular Characteristics
E(P) = #f - #e + #v where f = faces, e = edges and v = vertices (or corners)
What are hyperbolic lines of type 1
any line through O
What are hyperbolic lines of type 2
circles intersecting h (the horizon line)
What does homotopic mean
2 objects are homotopic if they can be shaped into each other without any cutting or pasting
What can you not do with a sphere, but can do with a line when dealing with homotopic shapes
you cannot shrink a sphere into a dot, but you can with a line
What is the genus of a shape
the maximal # of circular cuts that can be done to a shape without disconnecting it into 2 parts.
What happens if you glue the edges of a rectangle together
you get a torus (math doughnut)
What is homotopic to a klein bottle
projective plane
How to you know for sure if something is homotopic?
Count the # of holes
What is the formula for finding the eular characteristics using genus
E(P) = 2-2(genus)
What is the genus of a torus and a double torus and a sphere?
Torus - 1
Double Torus - 2
Sphere - 0