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What is the coolest (amazing) thing you can do with Mathematica?

for instance

there are my favorite things

Automating xkcd Diagrams

Extending Van Gogh’s Starry Night with Inpainting

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Making Formulas… for Everything—From Pi to the Pink Panther to Sir Isaac Newton

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closed as too broad by Martin Ender, Leonid Shifrin, Dr. belisarius, RunnyKine, Yves Klett Apr 7 '16 at 16:45

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ I was tempted to put on hold as "too broad", but then decided I'll let other users decide for themselves. I have set this CW as a compromise, tho. $\endgroup$ – J. M. is away Apr 7 '16 at 14:24