Mathematically Correct Breakfast

How to slice a bagel into two congruent, linked halves.

• Category

  Science & Technology

[hobomnky]

The surface area is the same. let R=outer radius and r=inner radius

surface area of a regular cut = 2(πR^2 - πr^2) = 2π(R^2 - r^2)

The cut he made is a mobius stripe with its surface area shared by the two halves. The surface area of that is the same as both sides of a stripe with a width R-r and a length = to the circumference of the circle made with and radius (R+r)/2

so the total surface area = 2(2π((R+r)/2)(R-r)) = 2π(R^2 - r^2)

[George Hart]

No, because the twisting adds area. Imagine it twisted 1000 times, and it is obvious that the cut surface has greater area than with no twisting. If you are thinking of Pappus's centroid theorem, that assumes a surface of revolution with no twisting. But it can be generalized for the twisted cut.

[Seely Sassage]

I want to be part of the Hart family ;_;

[Farrah Hendi]

I have a feeling this is vi harts dad...let the stupid answers pour forth...

[LeooooonScottKennedy]

My breakfast will never be the same again...

[Makron5]

I can add more area to an object, slice it almost in half and boom there's more surface area because you revealed more of the object. You may start praying now, although I don't exactly have any eternal life to give or chocolate or whatever.

[Blake Nelson]

Dude, I've got that exact same toaster oven.

[ellofolks]

DAMNIT JUST EAT YOUR DAMN BAGEL THE NORMAL WAY IF YOU DON'T LIKE COOL SPIRALLY ONES THAT ARE MATHMATICALLY AWESOME!

[filyok]

how about a video of a chain with more links?

[Tim70theYawner]

That looks like a tasty bagel

[GAMESTERVISION]

well i said im most liklwey wrong. i meant no troll or harm.. i really think it is the same either way you cut it.

[GAMESTERVISION]

i like thinking about these things and im sure im dead wrong. but hey this is how humans learn disscusion and failure and learning together.. i love the internet! great video sir. any thing that stirs the drama pot and drums up good discussion is great in my book!