Here's George Hart's daughter Vi Hart making a Mexihexaflexagon, which is a kind of three-sided flat quesadilla: https://www.youtube.com/watch?v=GTwrVAbV56o That family must have the best picnics!
How to Slice a Bagel into Two Linked Halves (2009)
41–50 of 68 posts
Re: How to Slice a Bagel into Two Linked Halves (2009)
#42Now do it with a mug.
Re: How to Slice a Bagel into Two Linked Halves (2009)
#43I wonder if it's possible to repeat the process in such a way that you make a chain. I'm trying to visualize how but I'm not certain whether it could only make more links all attached in the same place.
I believe every link would be linked to every other link.
Re: How to Slice a Bagel into Two Linked Halves (2009)
#44Now do it with a mug.
Re: How to Slice a Bagel into Two Linked Halves (2009)
#45Now do it with a mug.
A mug is topologically equivalent to a bagel or donut or torus.
I mean yeah, that was the point of my remark.
To write something on topic as well:
There was a fun little challenge on puzzles.stackexchange I think, which relied on the same construction as this article. I couldn’t find it, but it went like this:
“You’re stuck on top of a tall building with nothing but a saw. There’s a ladder fastened to the side of the building, but it’s unfortunately not long enough to reach the ground; in fact it goes about half the height of the building from the top. Challenge is to get on the ground “safely”. You can cut into the ladder with your saw in any way you like and you can assume that the resulting pieces will be rigid, but won’t break under load.”
Re: How to Slice a Bagel into Two Linked Halves (2009)
#46My team at work thinks of every excuse possible to get bagels. Recently for a birthday, a work anniversary, and being restacked into new cubes. But this is the best possible excuse for bringing in bagels again on Monday.
The resulting workers comp report when someone slices their hand is going to be really interesting.
Re: How to Slice a Bagel into Two Linked Halves (2009)
#47Exercise to the reader: How do you slice the bagel so that you can spread cream cheese continuously along both sides. In other words, can you make a Möbious bagel?
To think about it another way, imagine if you took a mobius strip and constructed a semicircular lump of bread on the surface, extending it around until it connects back to itself. You've made a bagel!
Now take the mobius strip out of the middle, and the gap it leaves is the cut you're asking to make.
Re: How to Slice a Bagel into Two Linked Halves (2009)
#48Exercise to the reader: How do you slice the bagel so that you can spread cream cheese continuously along both sides. In other words, can you make a Möbious bagel?
Make a cut through it shaped like a mobius strip - that is, a single 180 degree rotation instead of going the whole 360 degrees shown here. To think about it another way, imagine if you took a mobius strip and constructed a semicircular lump of bread on the surface, extending it around until it connects back to itself. You've made a bagel! Now take the mobius strip out of the middle, and the gap it leaves is the cut…
I wonder if I could sell bagel-sized silicone mobius strips for baking.
Re: How to Slice a Bagel into Two Linked Halves (2009)
#49Re: How to Slice a Bagel into Two Linked Halves (2009)
#50I didn’t know what I was getting into with that click, but now I’ve added bagels to our grocery list so I can do this.
Bagel, lox, cucumber and cream cheese has become my new favorite thing lately (bonus points for a squeeze of lemon, capers or some red onion if those things are to be found). However, I of course have no bagels or bagel accessories on the one day I read about mathematically correct bagels :( So yeah, added to my grocery list too!