Question

Could someone that knows Topology please help me? Its only 8 questions I really dont understand it

Answer 1

i can try, but I am very beginner

Answer 2

okay thanks ill post one of the uestions now

Answer 3

but I really only have time for 1

Answer 4

Which shapes are topologically equivalent to Choice 2?

(Points : 3)
1 and 4 only

2 and 4 only

1, 2, and 4

none

Answer 5

Can you define "topologically equivalent"?

Answer 6

if one can be transformed into the same shape without breaking

Answer 7

ok so how many holes do you have in choice 2?

Answer 8

3

Answer 9

I think the answer is none

Answer 10

ok, so now, (I'm thinking the same) can you move all the lines around and no longer have 3 holes without ripping or braking anything?

Answer 11

breaking*

Answer 12

Right with all the one if you moved them they would only have 2 holes

Answer 13

RIGHT, SO SINCE THEY ONLY HAVE TWO AND THERE IS NO WAY TO DISASSEMBLE YOUR HOLES, I AGREE

Answer 14

oops sorry about the caps

Answer 15

Thank you . Do you have time for another one?

Answer 16

uhm, yea. I'm actually waiting on my professor to post the hw so I can do it before I leave for work... if he ever does..... grumble grumble

Answer 17

okay :) let me post it

Answer 18

kk

Answer 19

What types of paths or circuits does the graph have?

(Points : 3)
Hamiltonian circuits

Euler paths and circuits

Euler paths, but no Euler circuit

no Hamiltonian circuits or Euler paths

For this one I think it is B but im not sure

Answer 20

Uhm, I really have never heard those terms before. If it was me, I would look up what each is and then look at the picture

Answer 21

I did that and thats what I came up with I was just checking to see if it was right

Answer 22

oh ok, yea, I'm sorry, I'm a algebraist/number theorist not a topologist. Wish I could be of more assistance

Answer 23

Yea me to this stuff is just confusing but thanks

Answer 24

sorry, If I had time to learn it real quick I would

Answer 25

@ganeshie8 Could you maybe help too ?

Answer 26

but as a side note, try watching MIT opencourseware lectures on it

Answer 27

I'm sure they have a topology I class

Answer 28

OKay i will

Answer 29

I think it has only Hamiltonian circuits... i dont see any Euler paths..

Answer 30

Def :
Hamiltonian - loop connecting all vertices exactly one
Euler path - walk thru all edges exactly once
Euler ckt - loop thru all edges exactly once

Answer 31

I liked this! http://www4.ncsu.edu/~uzgeorge/HamiltonCircuits7-19and22.pdf

Answer 32

How many edges does a convex polyhedron have if it has 12 vertices and 20 faces?
(Points : 3)
28

30

34

38
For this im pretty sure its 30 is that correct?

Answer 33

V - E + F = 2

Answer 34

I used that formula and got 30

Answer 35

30 is right, im also pretty sure this time :)

Answer 36

yay okay next one,
What is the Euler characteristic of a polyhedron that has 12 vertices, 20 faces, and 30 edges? (Points : 3)
2
8
12
22
I think its 2

Answer 37

I think so, its a icosahedron without any holes... so euler characteristic must be 2

Answer 38

How many points are there on a taxicab circle with radius 3?
(Points : 3)
10

12

16

18
I think its 12 but i dont know