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I wanted to post this note many months ago, but I guess I procastinated.

In this note, I would like to show how to do a similar graph like the ...

The above shape is called a menger sponge.

It's been sliced through the center by a plane perpendicular to the long diagonal.

What ...

Submit the answer as the digits in each blank from 0 to 9 in order. As an explicit example, if you think the numbers in all blanks are 1, submit ...

\[ \Large 2^{500} \quad \quad 3^{300} \quad \quad 5^{200} \quad \quad 4^{100} \]

Which of these numbers is the largest?

Sherry is excited to learn about the distributive law, and thinks that it applies to every possible operation. As such, she claims that

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