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Heuristics

Constraint-Driven Creativity (Two-Cut Heuristic)

A constraint can prompt you to explore approaches that habit would otherwise exclude. The source discusses a two-cut limit and diagonal cuts, but the original cutting problem is not included.

THE IDEA

Comment

The requirement 'use not more than two cuts' introduces the element of constraint. The constraint is not meant to be restrictive, on the contrary it encourages the effort to find difficult alternatives instead of being easily satisfied.

Since one is used to dealing with vertical and horizontal lines and with right angles the diagonal method is not easy to find. Perhaps the best way to find it is to 'cut across the square diagonally and then see where that gets one'. In effect one is beginning to use provocative manoeuvres rather than simple analytical ones.

The original problem and its diagram are not supplied, so the comment does not establish what the cuts must accomplish. The general lesson is to use a constraint to explore alternatives, then check whether they actually meet the goal.

When to use it

  • When brainstorming, set arbitrary limits (e.g., time, resources, rules) to force novel ideas.

  • In product design, restrict materials or budget to encourage innovative solutions that work within constraints.

  • In education, present students with puzzles that have counter-intuitive solutions (like the two-cut cake) to teach lateral thinking.

  • In business strategy, impose a constraint like 'no more than two steps to solve a customer complaint' to redesign the process creatively.

FROM THEORY TO EVERYDAY LIFE

In practice

01

Two Ways to Divide a Square

For a square cake, two perpendicular cuts through the center produce four equal squares, and two corner-to-corner diagonal cuts produce four equal triangles. Both use two cuts. Diagonals are an alternative; this invented cake problem does not show that the constraint rules out the familiar grid.

02

Marketing with Limited Budget

With a small advertising budget, a company compares a referral offer, a partnership, and a limited paid campaign. It tests an affordable option and measures responses. The budget prompts alternatives without guaranteeing creativity or reach.

✳

A MOMENT TO REFLECT

Put it to work.

  1. How can imposing constraints on a problem lead to more creative solutions?

  2. In what areas of your life could you apply the 'two-cut' heuristic to break out of habitual thinking?

  3. What conventional assumptions are you making that might be limiting your problem-solving?

Connected ideas

Another lens can bring the same problem into focus.

Often confused with

CONTINUE THE CONVERSATION

Source texts

  • Lateral Thinking A Textbook of Creativity (Edward de Bono)
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