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The Triangle of Knowledge

The Triangle of Knowledge is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand The Triangle of Knowledge rather than just read about it. In short: The Triangle of Knowledge is a writing technique to create and amplify tension in a screenplay, teleplay or stage play identified by Eric R. Williams.

The Triangle of Knowledge — main illustration
The Triangle of Knowledge — illustration

Key takeaways

  • The Triangle of Knowledge belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect The Triangle of Knowledge to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of The Triangle of Knowledge from memory before moving on to harder problems.

Reference excerpt

The Triangle of Knowledge is a writing technique to create and amplify tension in a screenplay, teleplay or stage play identified by Eric R. Williams. The Triangle represents ‘three minds’ that contain knowledge within a scene: the Protagonist, the audience, and any other Character in the scene. According to Williams, tension is created or enhanced when one of the three corners of the triangle is deprived knowledge (or "kept in the dark") in the scene.

Option A: Audience in the Dark To create tension, a writer may deprive the audience of information that the two characters in the scene possess. Keeping the audience in the dark is the most common use of the Triangle of Knowledge. It is often used at the beginning of the film. At the beginning of Leaving Las Vegas, screenwriter/director Mike Figgis keeps the audience in the dark revealing just enough details to make the Protagonist (Ben - Character A) stand out. Ben dons an expensive but worn suit in an elite bar, which leaves the audience curious. then, Ben has an awkward conversation with a second character about borrowing money (Character B). The awkward interaction between Character A and Character B reveals a fractured relationship, which creates curiosity and (therefore) tension in the audience.

Option B: Protagonist in the Dark Often, the audience and a specific character are aware of all the information in a scene, but the protagonist is left in the dark. When the protagonist is kept in the dark, the audience is immediately invested. This explains why people talk to the screen to warn the Protagonist of impending danger even though the character cannot hear them. In Butch Cassidy and the Sundance Kid, director William Goldman kept the protagonists in the dark in the final scene. Butch and Sundance engage on trivial banter, unaware that an army is gearing up to attack them. However, the audience knows because Goldman shows the army preparing.

Option C: Secondary Character in the Dark When the audience feels as smart as the protagonist, there is tension and enjoyment in laughing at the ignorance of secondary characters. When a secondary character is kept in the dark, the audience enjoys watching how characters act upon incomplete information. Tension is created when the audience watches secondary characters make decisions that they know the character will regret because the audience does not have the same emotional connection to secondary characters as they have to the protagonist. Screenwriter Paul Attanasio used this approach in his screenplay for Donnie Brasco. The movie tells the story of an undercover cop (Brasco) infiltrating the mob through his friendship with gangster Lefty Ruggiero. Through the entire film, the audience knows that Donnie is working undercover, but Lefty is completely unaware. This creates tension in even the most mundane scenes because underneath the routine conversation lies the audience's deep-seated interest in predicting whether Brasco will make his way into the mafia's inner sanctum.

The Storyteller’s Parallax The Storyteller's Parallax is an amelioration of the Triangle of Knowledge, making the triangle into a pyramid. The fourth element of consideration is the Storyteller herself. By adding a fourth point of consideration, the triangle becomes a three dimensional object. The third dimension creates three different Parallaxes: one which is the Triangle of Knowledge itself, and three others that substitute the storyteller for one of the three points.

Audience – Protagonist – Character X [The Triangle of Knowledge] Audience – Protagonist – Storyteller [Parallax A] Audience – Storyteller – Character X [Parallax B] Storyteller – Protagonist – Character X [Parallax C]

The 2002 psychological thriller Panic Room written by David Koepp and starring Jody Foster illustrates Parallax A. Panic Room is the story of a mother (Meg) and daughter (Sarah) who move to a new house – one with a "panic room" where people can safely hide in case of emergency. Three men break into the house and try to get into the panic room where the two women are hiding. Director David Fincher utilizes the Storyteller's Parallax to create tension by showing one specific shot that reveals to the audience (and the audience only) that Meg's cell phone has fallen under the bed. Meg, on the other hand, believes that the phone is still in its charger and can help her to escape. By making the audience privy to Meg's incorrect assumption, Fincher forces the audience to actively rooting against her plan to retrieve the cell phone from its charger; this creates tension.

References

Illustrations

The Triangle of Knowledge: The three minds that have knowledge in a screenplay
The three minds that have knowledge in a screenplay
The Triangle of Knowledge illustration

Worked examples

Example 1 — a first encounter with The Triangle of Knowledge

Start with the simplest possible case. Write down what The Triangle of Knowledge claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to The Triangle of Knowledge before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about The Triangle of Knowledge ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of The Triangle of Knowledge

In research
The Triangle of Knowledge appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses The Triangle of Knowledge in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
The Triangle of Knowledge is common in secondary-school and first-year university syllabi. It links to neighbouring topics Filmmaking, Screenplays, Television production, so understanding it makes those chapters shorter.
In everyday life
Look for The Triangle of Knowledge outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study The Triangle of Knowledge in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what The Triangle of Knowledge means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain The Triangle of Knowledge out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is The Triangle of Knowledge in simple terms?

The Triangle of Knowledge is a writing technique to create and amplify tension in a screenplay, teleplay or stage play identified by Eric R. Williams.

Why does The Triangle of Knowledge matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study The Triangle of Knowledge?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on The Triangle of Knowledge.

Tags

  • Filmmaking
  • Screenplays
  • Television production

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