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How does this microscope graph with 3 axes prove that a knife became buckled and bent?

Seasoned Advice Asked on August 23, 2020

Can someone please interpret the microscope image below? How does it prove that the knife "became buckled and bent"?

enter image description here

We examined hones and knives under a microscope at MIT. The cutting edge of a Victorinox chef’s knife became buckled and bent after being dulled on a glass cutting board.

I think that "cutting edge" above refers to "edge" below.

enter image description here

One Answer

The edge of the knife (which you correctly identify in the second picture) is shown hugely magnified as the 'bottom edge of the grey slab' in your first picture. We clearly see that this edge is not straight and smooth, but roughed up and curved upwards. This is what is meant by "buckled and bent".

Note that your image does not show a "function of three variables", as was stated in the original question (unless you mean a function with a binary output describing whether there is knife material at a given (x,y,z)-coordinate); it is a (two-dimensional projection of a) three-dimensional microscope image.

Correct answer by LSchoon on August 23, 2020

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