Jus' some xxxtra stuff ;) (jk its boring af math shit) Flashcards

1
Q

What does 2 perpendiculars give us?

A

a parallel

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2
Q

What are the degree’s of an acute golden T

A

36 dgrs, 72 dgrs, & 72dgrs

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3
Q

What is the formula for Eular Characteristics

A

E(P) = #f - #e + #v where f = faces, e = edges and v = vertices (or corners)

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4
Q

What are hyperbolic lines of type 1

A

any line through O

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5
Q

What are hyperbolic lines of type 2

A

circles intersecting h (the horizon line)

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6
Q

What does homotopic mean

A

2 objects are homotopic if they can be shaped into each other without any cutting or pasting

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7
Q

What can you not do with a sphere, but can do with a line when dealing with homotopic shapes

A

you cannot shrink a sphere into a dot, but you can with a line

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8
Q

What is the genus of a shape

A

the maximal # of circular cuts that can be done to a shape without disconnecting it into 2 parts.

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9
Q

What happens if you glue the edges of a rectangle together

A

you get a torus (math doughnut)

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10
Q

What is homotopic to a klein bottle

A

projective plane

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11
Q

How to you know for sure if something is homotopic?

A

Count the # of holes

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12
Q

What is the formula for finding the eular characteristics using genus

A

E(P) = 2-2(genus)

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13
Q

What is the genus of a torus and a double torus and a sphere?

A

Torus - 1
Double Torus - 2
Sphere - 0

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