This Thanksgiving I am thankful for all the vertical reflective surfaces in the Boston area.

Thanks to these windows and mirrors, our genius janitors (*Good Will Hunting*) and entrepreneurial college students (*The Social Network*) can work out their formulas in an aesthetically pleasing manner with an inherent visual metaphor for self-reflection, intellectual clarity, and access — just through a window — into the analytic mind.

Bret Schneider of *Chicago Art Criticism* writes:

For some reason it is common among films portraying genius to aestheticize their intellectual process by showing the protagonist writing on glass, mirror, or other reflective surfaces. In

Good Will Huntingthe film opens with the solitary genius writing abstract mathematical formulae on mirror, with few other objects in sight. A man and his mind, alone in a room. Oh wait, but also an obscure writing utensil that one would need to go far out of their way to procure.A Beautiful Mindhas a similar scene, where the main character, a sociopathic math genius, writes his ideas on transparent glass. A plethora of pi glyphs and some mundane squares, punctuated by some other recognizable shapes like triangles and greater-than or less-than symbols writ in white mar the view of his dormitory window. Apparently geniuses are too pure for paper.

The following deleted scene from *Good Will Hunting* finds him math-ing away in his grungy Southie studio apartment. We see library books, and then a rare moment of him writing on notebook paper (actual paper!), which transitions to a scene in which he walks to the room’s periphery and starts *writing on the wall*.

Furthermore, a close look at the following still from the film also shows that Will has at one point resorted to doing math (homeomorphically irreducible trees, perhaps?) *on the window shade*. (Also check out Will’s beer of choice — a box for locally brewed Sam Adams sits in the lower left corner.)

Mathematician Keith Devlin (who discussed the math of *Good Will Hunting* on NPR’s *Morning Edition* in 1998; their conversation is considered here on *Blog Will Hunting*) defends this trope.

One of the most derided scenes in

Good Will Huntingis where the hero starts to write equations on a bathroom mirror. Conveniently forgetting that the great Irish mathematician Alexander Rowan Hamilton scratched the key identities for the quaternions on a stone bridge — the only writing surface available to him at the time inspiration struck him — the critics scoffed that no mathematician would ever do such a thing. … Depicting a mathematician scribbling formulas on a sheet of paper might be more accurate (and you’ll see Crowe doing that inA Beautiful Mind, just as we saw Damon doing it inGood Will Hunting) but it certainly doesn’t convey the image of a person passionately involved in mathematics, as does seeing someone write those formulas in steam on a mirror or in wax on a window, nor is it as cinematographically dramatic.

That sums it all up rather nicely, I think. Both a visually-striking metaphor and a shorthand for the urgent intellectual passions of a genius, this cinematic cliché, like any other, gets its storytelling work done efficiently… even if the readiness of the appropriate writing utensil for such a purpose is rather unlikely.

When Ben Affleck’s character enters the Harvard bar in *Good Will Hunting* he announces, “So this is a Hah-vahd bar. I thought there’d be… equations and shit on the wall.”

Sorry, Ben — “equations on the wall”? That’s only in the movies.

ducks- at least one DFCI researcher I've visited has an entire wall of his office that is one big white board with lots of things scribbled on it that i will never understand. his research underlings tried to explain it to me by spontaneously drawing illustrations on the window between two offices. another lab of theirs had equasions written on a window. how do you like them apples?

Whoa, from the front lines of scientific research in the Hub, you've proven that writing on windows is perfectly run-of-the-mill. Equations on the walls, indeed. Nice work!

Alright, so, looks like this kid (http://www.buzzfeed.com/blippitt/jacob-barnett-12-has-iq-higher-than-einstein39-13lz) has a pretty legit reason to do math on a window – when your "whiteboard's got a bunch of theories on it."

Apparently, the smart people at Google do their best work on glass as well.

http://www.techrepublic.com/photos/inside-google-…

I had the same three examples and wanted to write an article mentioning them but thankfully, you already did. You should notice that this is a nice way for a filmmaker to show both the maths and the face of the genius who wrote them.

Mathematics (colloquially, maths or math) is the body of knowledge centered on such concepts as quantity, structure, space, and change, and also the academic discipline that studies them. Benjamin Peirce called it "the science that draws necessary conclusions".

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Other practitioners of mathematics maintain that mathematics is the science of pattern, that mathematicians seek out patterns whether found in numbers, space, science, computers, imaginary abstractions, or elsewhere.

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