Mathematics love cuts bagels by applying topological geometry

Feeling dusty and clogged texturebagel. In Europe and the United States it is a major bread with simply burning and eating, making it a sandwich, but like mathematicsTopologyIt is a sample that it will be like this when cutting the bagel with using.

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Mathematically Correct Breakfast - Mobius Sliced ​​Linked Bagel

this isNew York State UniversityProfessor of Department of Computer Science,George HeartWhat Mr. has released. I tried students as a part of class, and it was said that it was very popular.

Let A be the point where the Z coordinate is the largest on the X axis, C. Let B be the point where the Y coordinate is closest to the origin on the Y axis and on the bagel and D be the point remote from B and B.


Let's draw an extension line using each point.


Draw a line that goes around each point of ABCD.


The red line is a black line rotated by 180 degrees on the Z axis. When cutting along these two lines ... ...


It was brilliant, it became a bagel with two rings connected like a chain.


George Hart is further advancing the study of this bagel, and now it is "to find a cutting surface that will become a mebius ring once as a twist" and "the surface area after cutting is better than a normal cut Calculating whether it is changing "is the problem. The challenge seems to continue still.