Is the Projective Plane Hat Crazy Enough?

[ha14mu]

This is awesome!!! I want one such hat...

[hiswayornoway]

Well, I clicked on this video expecting a hat that somehow protected people from attacking aeroplanes, so at first I was slightly disappointed.

However, the real thing turned out to be even better (although not for people under aeroplane attack). Very cool hat. You're very clever.

Hasn't it got five dimensions, though, because presumably it exists in time as well as space?

[matedu]

Nice Hat =S

[phil10300]

It definitely IS the crasiest hat!

[DILLIGAF333]

So it's like a Mobius Strip on steroids?

[TheMathGuy]

Something like that--yes! You can get a Klein Bottle by joining two Mobius Strips along their edges, or a Projective Plane by joining a single Mobius Strip to a disc. Though you won't be able to finish the process in 3-dimensional space. You'll need a 4th dimension to make it truly work (or 'cheat' by passing the surface through itself, which is what the hat does, since it obviously can't actually be 4-dimensional!)

[GamerBryant64]

4d=time

[Falgroate]

@GamerBryant64

They're talking about a fourth spatial dimension in an abstract space, not spacetime. So no, 4d != time.

[Madseason3]

wuts song name?

[inpenev]

Nice presentation, congratulations!

But would you tell me something about the music used in this clip (title of the piece, composer, etc.)?

[GentleSavage1]

It's Carl Orff's Carmina Burana, in particular, the introduction "O Fortuna"

[inpenev]

Thank you! :)

[b88104044]

nice .

[DocWonko]

Mathguy, you rock! I love this hat presentation!

[whatsnext]

I am SUPER DUPER impressed!!!!!! ~ann

[jesmalu]

that is awsome! its better than what i have

[Littlemamma123here]

i want one !!!!!!! that is cool!

Tawny:)

[absinthedrunk]

well, i don't know about all that "projective plane" babble on the side there, buster -(math makes me DIZZY! lol!) however, that's a pretty darn cool hat! :)

p.s. came over from tj's site where he's looking pretty cool in that hat!

[TheMathGuy]

:-) And I thought the sidebar description was pretty tame compared to the video!

[JeepGirl2]

Wow, very cool indeed! Thanks for explaining something complicated in easy to understand terms. :0)

[Sarahendipity]

Wow, that truly is crazy! And you worked so hard on it!

I only have a few hours to decided who wins because today is OCTOBER 1ST!!!!!! THATS WHAT THE DEADLINE ISSSSSS!!!!!

Thanks for submiting,

-Sarah

[wogsland]

The wife is überimpressed by your knitting skills.

[TheMathGuy]

Thanks! (I wonder if I should reveal how many failed attempts I made at the hat before I got it to actually work. Naww! We'll just pretend I knit it perfectly the first time. ;-)

[DrZarkloff]

It's definitely a cool hat. Or should I say a warm hat?