How to Slice a Bagel into Two Linked Halves

http://www.georgehart.com/bagel/bagel.html

by msvan • 13 years ago

198 34 13 years ago

joshu• 13 years ago

trivia: vi hart is child of george hart. i guess awesome runs in that family.

GuiA• 13 years ago

And Erik Demaine is the son of the prodigal Martin Demaine. It seems that some mathematicians are good at communicating their passion to their children.

doktrin• 13 years ago

Great. Now I have the urge to dissect bagels at 2 AM :)

sunnybunny• 13 years ago

Been waiting for somebody to explain how that could be possible.

Retric• 13 years ago

Normally you take a knife slice a bagel down the middle and you end up with 2 half's but part of that action ends up cutting both sides of the hole at the same time.

Instead take a knife cut to the center but not the other side then as you cut around the edge rotate the cut so by the time your around the full bagel the knife is upside down. If you picture it at one point knife handle is on the above the bagel and after a little while it's below the bagel. The only trick is to make you cut line up when your done.

ck2• 13 years ago

Now if they could bake them like this, I could see that fad taking off...

gojomo2• 13 years ago

I suspect you could bake two interlocked bagel rings with a little help from a baking sheet that had angled U-shaped cutouts. You'd mold the rings while the dough was soft, and the baking sheet would help support the rings, as separate but interlocked, during baking. (To me, this feels like less of a challenge than the cutting trick.)

Samuel_Michon3• 13 years ago

That won’t work, as the dough isn’t soft enough before it is baked. By that time, the dough has been shaped, risen for 36 hours and boiled. Baking is a pretty minor step in the process.

http://www.genuineideas.com/ArticlesIndex/bagels.html

yen223• 13 years ago

And they say topology is useless!

kzrdude• 13 years ago

We expanded the utilty from teacups and donuts to now include bagels!

emillon• 13 years ago

This construction shows Villarceau circles[1], which are the nontrivial circle sections of a torus. This can be also seen on the POV raytracer hall of fame[2].

    [1]: http://en.wikipedia.org/wiki/Villarceau_circles
    [2]: http://hof.povray.org/Villarceau_Circles-CSG.html

philsnow• 13 years ago

Oh man, if ever I lose my wedding ring, I know what I'm going to commission to replace it.

huhtenberg• 13 years ago

Neat, but academic, because as everyone undoubtedly knows slicing bagel into a Mobius strip is far more practical. Not only does it give you a surface for jam-and-buttering, but also keeps the construct in a single piece ensuring an unbeatable simplicity and predictability of the user experience. It's the same technique as in the article, but the knife needs to rotate at the half of its angular speed as it goes along bagel's diameter.

Evbn3• 13 years ago

The OP structure can be reassembled into a sandwhich after dressing. Key feature.

Bill_Dimm• 13 years ago

Not only does it give you a surface for jam-and-buttering...

Yeah, but if you drop it on the floor it is guaranteed to land jam-side-down 100% of the time.

Coincoin• 13 years ago

It will fall jam side down 100% of the time even if it's not a Mobius strip. It's the law.

crusso• 13 years ago

I felt a great disturbance in the Force, as if millions of bagels suddenly cried out in terror, and were suddenly silenced.

JadeNB• 13 years ago

> … and were suddenly silenced.

You misspelt 'sliced'.

lessnonymous2• 13 years ago

Missed the Hacker News on this one ..

I know I'm not heavily karma'd and so my opinion counts for less, but this isn't the sort of thing I'm expecting on HN. This belongs over in Reddit (where I promise I'll still see it .. probably reposted a dozen times)

ebbv• 13 years ago

This technique has been posted before on reddit already many many times. It definitely shouldn't be here.

ctdonath• 13 years ago

Not everyone who reads HN reads reddit.

The Internet is a much bigger place than some people realize.

luckysh0t• 13 years ago

title: Includes phrase 'Mathematically Correct'

submission title: Includes phrase 'Linked'

Contains everything necessary for hip pseudo-hacker karma.

scott_s• 13 years ago

"Please don't submit comments complaining that a submission is inappropriate for the site." http://ycombinator.com/newsguidelines.html

Complaining is just noise.

lessnonymous2• 13 years ago

Thanks for pointing me to those.

I also missed this one: > If your account is less than a year old, please don't submit comments saying that HN is turning into Reddit. (It's a common semi-noob illusion.)

I'm only up to 326 days, so I'll go back to my corner and apologize (genuinely) for not being aware of these rules.

Though I still don't think it belongs here ;-D

kbutler• 13 years ago

Check the What to Post guidelines again: "anything that gratifies one's intellectual curiosity"

http://ycombinator.com/newsguidelines.html

mauvehaus• 13 years ago

I have a number of friends who are middle and high school math teachers. I have asked them to demonstrate this for their students and report back on how utterly blown their students' minds are.

Stuff like this makes me wish I had continued on the path of becoming a math teacher myself rather than returning to the world of software.

Evbn3• 13 years ago

I have tried these cuts a dozen times, never with success. What kind of knife/dough do you need to make clean cuts? 10 year olds can do it in two tries, why can't I?

up_and_up• 13 years ago

> It is much more fun to put cream cheese on these bagels than on an ordinary bagel. In additional to the intellectual stimulation, you get more cream cheese, because there is slightly more surface area.

I believe this is winning on all fronts here.

ambiate• 13 years ago

Previous discussions:

http://news.ycombinator.com/item?id=982249 http://news.ycombinator.com/item?id=1234503 http://news.ycombinator.com/item?id=1967930

This story has allotted a total of 656 karma, interesting.

a_p• 13 years ago

The rest of George Hart's site is interesting as well, especially his encyclopedia of virtual polyhedra [1]. There is also a part 2 of "Mathematically Correct Breakfast" (this time a trefoil knot) [2], and his sculptures are worth looking at as well [3].

[1] http://www.georgehart.com/virtual-polyhedra/vp.html

[2] http://www.georgehart.com/bagel/knot.html

[3] http://www.georgehart.com/sculpture/sculpture.html

How to Slice a Bagel into Two Linked Halves

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