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What is it about threes?

- The rule of thirds for visual imagery [1]

- Three-act structure for storytelling and plays [2]

- Three-part setup for stand up comedy [this article]

Rules for content often fall into a rule of threes, and I'd love to know why.

1. https://en.wikipedia.org/wiki/Rule_of_thirds

2. https://en.wikipedia.org/wiki/Three-act_structure



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Well for comedy its patterns. You hear something once and its just a thing, the second time you hear it you remember the first time and you might chuckle, the third time your brain recognizes it as a pattern and building off the first two times you heard it and its, "funny".

I'm over simplifying but that is really the basis of a lot of comedy. Stand up less so. Most improv runs on the rule of threes though. It's an easy way to make something not funny at least a little funny.

Try it in a meeting or presentation sometime. Start with some goofy line or joke. Mention it again in the middle. Close with it. You'll probably get laughs. Even if its not that funny and got crickets the first time.


80/20 in sports, and a few other things.

Mathematically the minimum number of elements necessary for a pattern is three.

> Mathematically the minimum number of elements necessary for a pattern is three.

An assertion about mathematics requires a definition, and I don't believe this one for the usual definition of 'pattern'. For example, if I wanted to exhibit a linear pattern, two data points would be sufficient.

(But we're not talking about mathematical constructs anyway, so it's not clear what the relevance of mathematics is.)


2 points establishes local linearity, not global linearity. f(x) = x^2 looks linear if you take any 2 arbitrary xs, add a third and you can no longer draw one line that intersects all 3 points.

> 2 points establishes local linearity, not global linearity. f(x) = x^2 looks linear if you take any 2 arbitrary xs, add a third and you can no longer draw one line that intersects all 3 points.

Yes, certainly. And 3 points can show you a pattern that looks quadratic but isn't, and so on. More to the point, 3 points can rule out a claim of linearity, but they also cannot demonstrate a claim of linearity (e.g., you can usually find 3 collinear points on the graph of a cubic). My point was not to make a mathematical claim myself, but rather to argue that the claim "the minimum number of elements necessary for a pattern is three" is so vague to, I think, be nearly meaningless—and, in particular, unfalsifiable; in my mind, it doesn't deserve the adverb "mathematically".


In that I agree. Maybe a better word is “normally” as in “normally don’t assume a pattern until you see 3 of them”

Only on HN could a comment thread devolve from "light observation on the nature of comedy" to "arguing about the nature of linearity in mathematical equations" in 6 comments.

The three-act structure and the three-part setup are the same thing. You establish the premise, build-up the concept, then provide a payoff. “It’s as easy as 1, 2, 3”.

What’s the simplest way to represent most stories? You draw a line. It goes from point A to point B, start to finish, where the characters begin and where they end. There’s a whole lot of “middle” there too. What a coincidence, act two tends to be the longer one! Again, “1, 2, 3”.

How about the simplest way to count to (say) start a race? “Go” is unpredictable; “Ready, Go” is barely better; “Ready, Set, Go” gives you a clear cadence. 1, 2, 3. Beginning, middle, end.

As for images: humans are symmetrical with two eyes, we naturally divide the picture into two sides so you wouldn’t be impressed by a “rule of halves”. A rule of thirds is no more than a grid, one where there are clear sides and a middle to the image. A rule of fifths would also work, as would a five-act structure (which is a thing).

Three is the smallest number to which you can reduce a lot of concepts by establishing a pattern.


> Rules for content often fall into a rule of threes, and I'd love to know why.

I would like explicitly to appreciate your choice to give 3 examples.


It does not need to be three. It can be: set-up and then the punchline

Or less.

Jimmy Carr says that the shortest joke he's ever written is two words: dwarf shortage.


People inherently pattern match everything, looking for how it fits their worldview. Three points either lets you see the pattern and see everything fits it, or gives you enough setup to create payoff.

If you only do single setup plus payoff the audience may instead try to make the two fit together. If you give them two points of reference, it allows them to prebuild an assumed pattern with less work from the story/music/whatever for you to either play within or subvert.

An example of using just two to build patterns in the audience (but doesn't give a chance to subvert expectations per se) is cutting between shots in movies. The audience inherently tries to deduce the meaning of going from one image to a second. David Mamet has a great book, 'On Directing Film', that is not very long and talks about the shot transition version of this in great detail. You can use the ideas there and expand it to three to get into the ideas I've talked about above.


In the article the author talks about the 3rd element being the change in direction.

Geometrically if you have two points you can draw a straight line between them. Now you can put a third point almost anywhere else to change the shape from a straight line to something more unique, complex and unexpected.

Some comedians like Norm McDonald (moth joke, youthful porpoise joke) use dozens of straight line thoughts with one random one at the end. Norm was a great storyteller with lots of personality so he was able to keep the audience’s interest for minutes before delivering the change in direction. And he had a preexisting reputation so the audience was probably willing to wait longer for the hook.

It’s probably easier for most comics to do the bare minimum though which would be 2 cohesive thoughts and 1 unexpected one.


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