Twisting the unit square n times before gluing( 2.1.6 in G&P).
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The question is given below:
I have made a Mobius band with a paper and twisted it 3-times but I could not describe what I see it may be a 3 knot shape, could anyone give me a hint for solving that question please?
differential-geometry algebraic-topology differential-topology geometric-topology mobius-band
asked Nov 14 at 8:16
hopefully
2079
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up vote
0
down vote
favorite
The question is given below:
I have made a Mobius band with a paper and twisted it 3-times but I could not describe what I see it may be a 3 knot shape, could anyone give me a hint for solving that question please?
differential-geometry algebraic-topology differential-topology geometric-topology mobius-band
asked Nov 14 at 8:16
hopefully
2079
1
If you twist 3 times before gluing, the boundary will again be a single circle.
– Prototank
Nov 14 at 14:53
what about after gluing @Prototank
– hopefully
Nov 14 at 15:59
1
Try cutting the band down the middle and seeing what you get in each case. . Also try cutting it 1/3rd from the edge. These are amusing things to show children.
– Ronnie Brown
Nov 14 at 17:01
@RonnieBrown Could you please Dr Ronnie provide me with a site to increase my imagination in this field of study ?
– Idonotknow
Nov 14 at 19:49
1
I hope www.groupoids.org.uk will help. There is of course lots of stuff out there other than mine!
– Ronnie Brown
Nov 14 at 23:08
|
show 2 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
The question is given below:
I have made a Mobius band with a paper and twisted it 3-times but I could not describe what I see it may be a 3 knot shape, could anyone give me a hint for solving that question please?
differential-geometry algebraic-topology differential-topology geometric-topology mobius-band
asked Nov 14 at 8:16
hopefully
2079
The question is given below:
I have made a Mobius band with a paper and twisted it 3-times but I could not describe what I see it may be a 3 knot shape, could anyone give me a hint for solving that question please?
differential-geometry algebraic-topology differential-topology geometric-topology mobius-band
differential-geometry algebraic-topology differential-topology geometric-topology mobius-band
asked Nov 14 at 8:16
hopefully
2079
asked Nov 14 at 8:16
hopefully
2079
asked Nov 14 at 8:16
hopefully
2079
asked Nov 14 at 8:16
hopefully
2079
asked Nov 14 at 8:16
hopefully
2079
2079
1
If you twist 3 times before gluing, the boundary will again be a single circle.
– Prototank
Nov 14 at 14:53
what about after gluing @Prototank
– hopefully
Nov 14 at 15:59
1
Try cutting the band down the middle and seeing what you get in each case. . Also try cutting it 1/3rd from the edge. These are amusing things to show children.
– Ronnie Brown
Nov 14 at 17:01
@RonnieBrown Could you please Dr Ronnie provide me with a site to increase my imagination in this field of study ?
– Idonotknow
Nov 14 at 19:49
1
I hope www.groupoids.org.uk will help. There is of course lots of stuff out there other than mine!
– Ronnie Brown
Nov 14 at 23:08
|
show 2 more comments
1
If you twist 3 times before gluing, the boundary will again be a single circle.
– Prototank
Nov 14 at 14:53
what about after gluing @Prototank
– hopefully
Nov 14 at 15:59
1
Try cutting the band down the middle and seeing what you get in each case. . Also try cutting it 1/3rd from the edge. These are amusing things to show children.
– Ronnie Brown
Nov 14 at 17:01
@RonnieBrown Could you please Dr Ronnie provide me with a site to increase my imagination in this field of study ?
– Idonotknow
Nov 14 at 19:49
1
I hope www.groupoids.org.uk will help. There is of course lots of stuff out there other than mine!
– Ronnie Brown
Nov 14 at 23:08
1
1
If you twist 3 times before gluing, the boundary will again be a single circle.
– Prototank
Nov 14 at 14:53
If you twist 3 times before gluing, the boundary will again be a single circle.
– Prototank
Nov 14 at 14:53
what about after gluing @Prototank
– hopefully
Nov 14 at 15:59
what about after gluing @Prototank
– hopefully
Nov 14 at 15:59
1
1
Try cutting the band down the middle and seeing what you get in each case. . Also try cutting it 1/3rd from the edge. These are amusing things to show children.
– Ronnie Brown
Nov 14 at 17:01
Try cutting the band down the middle and seeing what you get in each case. . Also try cutting it 1/3rd from the edge. These are amusing things to show children.
– Ronnie Brown
Nov 14 at 17:01
@RonnieBrown Could you please Dr Ronnie provide me with a site to increase my imagination in this field of study ?
– Idonotknow
Nov 14 at 19:49
@RonnieBrown Could you please Dr Ronnie provide me with a site to increase my imagination in this field of study ?
– Idonotknow
Nov 14 at 19:49
1
1
I hope www.groupoids.org.uk will help. There is of course lots of stuff out there other than mine!
– Ronnie Brown
Nov 14 at 23:08
I hope www.groupoids.org.uk will help. There is of course lots of stuff out there other than mine!
– Ronnie Brown
Nov 14 at 23:08
|
show 2 more comments
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1
If you twist 3 times before gluing, the boundary will again be a single circle.
– Prototank
Nov 14 at 14:53
what about after gluing @Prototank
– hopefully
Nov 14 at 15:59
1
Try cutting the band down the middle and seeing what you get in each case. . Also try cutting it 1/3rd from the edge. These are amusing things to show children.
– Ronnie Brown
Nov 14 at 17:01
@RonnieBrown Could you please Dr Ronnie provide me with a site to increase my imagination in this field of study ?
– Idonotknow
Nov 14 at 19:49
1
I hope www.groupoids.org.uk will help. There is of course lots of stuff out there other than mine!
– Ronnie Brown
Nov 14 at 23:08