Orientable vs Non-Orientable Surfaces and the Mobius Strip 

My Calc 3 exam average was 65 after my first two exams. Then I started watching your videos and I got a 93 on my third exam and I’m confident for the final. Thank you for the content.

this channel is literally a hidden gem

This is really a hidden diamond! Thank you so much sir for this beautiful 3D visualization. I got this video randomly and now I decided to watch all the videos related to my topic now :)

This channel has helped me enjoy calculus so much!! thank you!! The quality is amazing and your explanations so clear!

Subscribed! I have Discrete Math and Linear Algebra next semester and I'm desperately trying to learn them in advance. Thank you for your content! You are one of the people who inspired me to start a RU-vid channel make math videos too!

nice and good visualization

Excellent explanation Thanks 👍😌

i have seen every single video in this playlist ,amazing explation

your approach to math feels safe haha thank you !!

This mobius strip is blowing my mind🤔

thanks a lot for your clear explanation.

Nice explanation on mobius strip.

Great video thank you!

love this man

Excellent!

the person who disliked failed this course

thanks! useful and clear;

you are the best.

BIg thanks dr.trefor for everything ( i pass differential equations cause of you...hope calc4 too ),hope one day i am able to return you your offer.

Nice video :)

Blows my mind a bit,.

Awesome sir you are awesome ❤❤❤❤

Hiiiii. Hope you are well. I wanted to know, could you help me find cases of non-orientable surfaces other than morbius tape?

Would a polarized mobius strip change polarization when traversed ?

Thank you such amazing content Dr. Trefort Bazett. What tools you use in your videos for your 3D graphs? Any other tools you recommend? Preferably that are free and open source. Thank you once again.

Thats awesome

Signed, Sincerely yours_ (From a person this been reading much on the fascinating ,ongoings at this place and its numerous Physical science affiliated implications!) Korky= Carl Aserio Yonkers NY .

but what if you rotate the mobius strip twice instead of once? you get 2 sides

There are two sides obviously. The other side's dimensions are paper thin. That's why we cannot see the whole mobius strip. Why is this hard to grapse? Too distracted to see the lines drawn on one side?

I love you

Sir, In R2, we have two different types of line integrals, the tangential line integral ∫F⋅dr and the normal line integral ∫F⋅nds. However, for all the surface integral, I have only seen the normal surface integral defined by ∬F⋅ndS is there a similar concept that is close to the tangential line integral ∫F⋅dr?

Here after the "Why did the chicken cross the mobius strip" joke

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I liked the part where the strip was morbing

Fourth comment. Take care.

❤️🤳✌️😎

You literally just entered 2d.

A mobius strip "appeared" to a scientist at the infamous Skinwalker Ranch, in a location in a room ,such that one and only one person if ~6 in the room could see it. ( the rocket scientist) This person was there to be briefed in the odd activities ocurring at that place. My question to you, as excellent mathematician that you are...is that, if this appearance of a Möbius was in intended from whomever or whatever , was either sending some type of message to this very intelligent , very credible scientist, or, engendering a subliminal response in the awareness of said scientist, What ,possibly is the message? What unique properties of the Möbius strip could be a symbol of (1) something the strange foreign intelligence wished to convey to the scientists there ...or, (2) Possibly could you attempt to speculate what about the Möbius , might be representative of the foreign intelligences presence at that place? I realize good sir that thus udxan impossible question . I am attempting to glean what about the Möbius renders but suitable to be symbolic of the physics of UFOs , gravitation, quantum physics, consciousness.. Please, if you please,take a swing at it ??/! Thank you! And, I am overjoyed to find your lecture , and absolutely shall be "attending" more of your rigorous,, clear ,fine mathematics instruction...

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