── ── Cognitive bias
Point → Line → Plane → Solid (点–线–面–体)
Maps competitive position across four strategic dimensions: Point (one capability, easily copied) → Line (integrated pipeline, integration is the asset) → Plane (platform/ecosystem where others transact, network effects emerge) → Solid (multi-layer reinforcing system — technology, data, network, culture, capital — that requires replicating all layers simultaneously). Answers why some organizations build enduring competitive distance while excellent point-level competitors remain…
Run Point → Line → Plane → Solid (点–线–面–体) on a real problem
Bring something you're actually deciding — free, in the browser.
How it works
Gate: Confirm the current point-level value proposition is genuinely working before designing dimension elevation.
1. Diagnose the current dimension. Point: one capability, one sentence, directly comparable. Line: reliable integrated sequence, customers cannot decompose and rebuild it. Plane: more users creates more value for existing users; third parties participate. Solid: 4+ co-reinforcing layers (platform + data + brand + network effects + capital). 2. Identify what prevents moving to the next dimension. Point→Line: what adjacent capabilities must be integrated and what blocks it? Line→Plane: what must be true for third parties to participate (density, tools, economics, trust)? Plane→Solid: what additional layers must be added and how do they reinforce each other? 3. Apply the business selection filter. For each candidate path: score on 能 (capability fit) + 想 (organizational desire) + 值得 (economic return) + 该做 (strategic/ethical alignment). Fail multiple criteria = wrong-direction elevation. 4. Design the first concrete transition step. Specific: what is built, acquired, or partnered in the next 90 days. Not "become a platform" — "sign 3 API partners and build the tools they need." 5. Establish the milestone for declaring dimension achievement. "Platform declared when third-party-generated value exceeds 20% of total platform value."
Stop-rule: If the plan skips an intermediate dimension, return to line-building. Each dimension is the structural prerequisite for the next.
When to use it
- user says 'we're good at X but not growing,' 'we need a moat,' 'we're just a feature not a platform,' 'competition keeps copying us,' 'we want to build something hard to replicate,' or asks how to move from product to platform to ecosystem
When not to use it
the user is still searching for product-market fit (the point-level value hasn't been validated yet); or when the question is purely about execution speed or cost within an existing market (a line-level optimization, not a dimension problem).
Worked example
Carnegie Steel's Dimension Progression (1875–1901)
Andrew Carnegie's ascent from single mill to the world's largest private company is the clearest documented application of the point–line–plane–solid progression in industrial history.
Install this skill (free, MIT)
npx skills add deciqAI/knowledge-skillsUseful? Star the repo — stars help other builders find it.
Related mental models
Positioning (April Dunford, Obviously Awesome, 2019) is the context you set so customers instantly understand why your product is great for them.
Price is a structural decision, not a calculated number.
Most reasoning is binary: will it happen, or won't it?
The Red Queen Effect: competitors must continuously improve just to maintain relative position — because everyone else is improving simultaneously.